ISBN - 978-605-5631-57-4 Sertifika No: 11748

Transkript

ISBN - 978-605-5631-57-4
Sertifika No: 11748
GENEL KOORDİNATÖR:
REMZİ ŞAHİN AKSANKUR
REDAKTE:
REMZİ ŞAHİN AKSANKUR
SERDAR DEMİRCİ
SABRİ ŞENTÜRK
SERVET SAVAŞ ÇETİN
%DVÜP<HUL(926%$6,0$1.$5$
%XNLWDEÜQWÖPEDVÜPYH\D\ÜQKDNODUÜkartezyen eg
QDDLWROXS
WÖPKDNODUÜVDNOÜGÜU.ÜVPHQGHROVDDOÜQWÜ\DSÜODPD]0HWLQYHVRUXODU
NLWDEÜ\D\ÜQOD\DQíLUNHWLQÐQFHGHQL]QLROPDNVÜ]ÜQHOHNWURQLNPHNDQLN
IRWRNRSLWDUDPD\DGDKHUKDQJLELUND\ÜWVLVWHPL\OHÁRðDOWÜODPD]
\D\ÜQODQDPD]

7XUJXWUHLV0DK*L\LPNHQW6LWHVL(%ORN%$1R(6(1/(5ñ67$1%8/
7HO)D[
www.kartezyen.com.tr
Copyright © kartezyen eg

75ñ*2120(75ñ
Dar Açıların Trigonometrik Oranları:
B!.;C!4;C
&#!.!
&
'D
.!
-##
#
!
&.-
&!)/&
!)
'
A
hipotenüs
D=
Karþý dik kenar
+#D=
B
a
C
D=
Komþu dik kenar
+#D=
0
-##
&
!E
F.-1*
)&
(!/
D G$#(!/
#)&
(!/
G$#(!/
)&
(!/
#)&
(!/
#)&
(!/
)&
(!/
I EI
I I
+# D IEI
I I
D I EI
IEI
+# D IEI
I EI
çözüm
kavrama sorusu
A
A
Hipotenüs
Karþý dik
kenar 3
5
3
5
4
B
C
4
B
Komþu dik kenar
C
E.--*
%
)&
(!/
:E==
G$#(!/
E.-%JKAJEK%IIL2
%IEIL>
%IEIL6
#!&/-*
% sin(A
n I I
:E=
I EI
:E=
2
6
Cevap:
çözüm
kavrama sorusu
A
A
3
Komþu ñ5
dik kenar
ñ5
B
3
5
2
B
C
Hipotenüs
C
2
Karþý dik kenar
E.-%JKAJEK%IIL6
%IEIL<
<
<
<
IEI LII MIEI
#!&/-*
% cos(B
<
<
<
<
IEI L:6= M<
<
IEI L6M>IEI L4IEIL2
+#:E==
#)&
(!/
G$#(!/
I I
6
I EI
2
Cevap:
2
5
3
Trigonometri - 1
soru 1
soru 5
A
JKAJEK
JKAJEK
13
5
IIL6
A
ñ6
ñ3
IIL2
IEIL3<
IEIL?
IEIL32
B
#!&/-*
%
#!&/-*
%
C
12
tan(A
B
C
sin(B
6
=
32
soru 2
3<
=
32
6
E=
3<
P
D=
3<
= 3
32
=
3<
soru 6
A
JKAJEK
3
ñ2
IIL<
=
<
E=
2
D=
3
<
=
3
2
A
1
IEILP
B
IEIL2
B
C
ñ7
#!&/-*
% sin(A
C
3
JKAJEK%IIL3
%IEIL2
#!&/-*
soru 3
2
P
=
E=

B
#!&/-*
%
B
cos(B
C
ñ7
C
ò15
JKAJEK%IIL3
%IEIL36
#!&/-*
%
sin(ACB)+cos(B
=
2
>
soru 4
=
P
>
E=
2
P
D=
>
P
=
P
2
=
ò10
JEKAJEK
IIL3;
B
=
3
3;
E=
D=
3
2
3–A
>
36
=
3 36
>
C
ñ2
A
B
ñ3
= 2
< 6
36
=
D=
2–E
D=
tan(BCA)+cos(ACB)
2
3;
3
36
#!&/-*
%
=
1–B
E=
IEIL<
#!&/-*
% cos(A
= 3
3
<
IIL2
C
3
=
JKAJEK
1
IEIL3
IEIL2
soru 8
A
3
>
4–C
5–B
3
< 36
3;
6–E
2 6
36
E=
=
3 3;
3;
2 36
3;
7–E
8–D
Trigonometri - 1
çözüm
kavrama sorusu
D
a
D&*
-.
&%D..&!&/
&.
-#!)
.!)!'
C
k
D
F
3k
a
C
IIL&!%
IIL2II
#!&/&
A
E
B
2k
2k
2k
IIL2&
'
IDEILIIMII
ED&&*
-%:DE=LDIIL2IIIDEIL<IDI
A
#!&/-*
% sinD+cosD
E
k
B
3k
LM2
L>
IDEIL<IDI#!&/&IDILI@IL<&
'
F
<
3k
a
<
IEI LI@EI MI@I
C
<
<
<
L:2= M:<=
<
<
L4 M>
2k
ò13k
<
L32
IEIL32
E
<
< ²¦¦
¦
<
2
32
32 ¦¦
» B +# B 2
2 ¦¦
32
32
+# B ¦¦
32
32 ¦¼
B 6
32
Cevap:
5
13
çözüm
kavrama sorusu
1
a
1
1
1
1
1
1
1
a
1
&)!*(&)
!
&#!)
!)
'
a
D . .& !&/
&.-
!
!
#
(' (& D .
!
!&/( .
-).!)
('
1
1
1
D
1
1
a
a
1
4
4 br
1
1
1
B >
< &
'
<
a
2 br
Cevap: 2
Trigonometri - 1
soru 1
A
soru 5
D
a
ED&&*
-%
*(&)
!
&
E
IDIL<II
:D=LD
#!))
'
D
C
B
#!&/-*
%
=
sinD
3
3P
soru 2
<
3P
=
E=
2
3P
>
3P
D=
=
soru 6
D
ED&&*
-%
B
=
2
<
E= 3
D=
D
3
<
=
3
2
C
a
ED
%
:ED=LD
0NO808YAYINLARI
=
2
6
=
>
6
=
>
2
a
E=
2
6
D=
2
>
&)!
*(&)
!
&
sinDD
A
=
< <
soru 7
6
2
=
sinD.cosD
3
>
6
#!))
'
#!&/-*
%
3
<
E=
D=
3
>
=
=
2
<
A
a
B
3
<
3
6
soru 8
D
a
ED
%
<
6
=
E=
#!))
'
#!&/-*
%
cosD+cotD
tanD+ cotD
B
2–B
E
32
D=
6
3–C
>
6
=
P
6
&)!
:=LD
3P
E=
36
D=
a
*(&)
!
&
<<
=
36
2
6
IEIL>IEI
1–A
D=
D
#!&/-*
% tanD
2<
=
36
<
6
#!))
'
C
:ED=LD
soru 4
E=
*(&)
!
&
a
IEIL2IDEI
=
3
6
=
&)!
IILIDI
soru 3
3
>
3
>
E
A
= <
a
&)!
IIL<II
=
C
=
4
=
6
4–A
6
<
5–C
5
=
32
?
E=
6–E
33
?
D=
7–A
2
<
=
3
?
8–B
Trigonometri - 1
D&
.#!(
QD%+#D%D%+#D#
!
& -
!$&/
!
#
!&/&
&.-.(!$
!
#
!
&.-(
!)
!
&/
-##
#
!
!
'
çözüm
kavrama sorusu
;CRDR4;C#!(
%
D&
.#!&/&
&.-.(!$
!#
!
2
B 6
#!&/-*
% cosD
!)
!
'
)&
(!/
D=
G$#(!/
2
6
A
<
<
<
<
<
II LIEI MIEI
5
<
6 LIEI M2
3
IEIL>
a
4
B
+#D=
C
#)&
(!/
G$#(!/
>
6
4
5
Cevap:
çözüm
kavrama sorusu
D&
.#!&/&
&.-.(!$
!#
!
!)
!
'
)&
(!/
6
D=
3<
#)&
(!/
A
;CRDR4;C#!(
%
6
B 3<
#!&/-*
% cosDD
13
a
B
<
<
5
C
12
<
II LIEI MIEI
<
<
<
II L6 M3<
+# B 3<
6
B !
'
32
32
+# B B ;CRDR4;C#!(
%
+#D=
+#D=2
2
3< 6
P
32 32 32
Cevap:
7
13
çözüm
kavrama sorusu
IIL32
#)&
(!/
)&
(!/
2
3
A
2
#!&/-*
% sin D D
<
2
<
<
II LIEI MIEI
1
<
<
<
II L3 M:2=
IIL<
a
B
ñ3
B 3
2
+# B <
<
C
<
3¬< 2 ¬
3 2 < 3
 >
<
>
Cevap: 6
1
2
Trigonometri - 1
soru 1
soru 5
;CRDR4;C#!(
%
;CRDR4;C#!(
%
3
<
#!&/-*
% cosD
B 2
<
=
soru 2
=
3
<
+#DL2
#!&/-*
% sinD
E=
3
2
3
>
D=
=
<
<
=
3
2
soru 6
3
<
=
E=
;CRDR4;C#!(
%
3
+# B >
#!&/-*
% sinD
soru 3
=
< <
<
3;
>
E=
D=
32
>
=
36
>
=
3
6
soru 7
=
<
6
E=
;CRDR4;C#!(
%
soru 4
=
<6
<>
<
6
D=
3
6
=
6
<
3
<
=
2

<6
2
3;
DL<
;CRDR4;C#!(
%
=
=
#!&/-*
% sinD.cosD
0NO808YAYINLARI
3
>
3
3;
D=
;CRDR4;C#!(
%
=
3
< <
+#DL3
2
2
#!&/-*
% tan D D
E=
<>
P
D=
P
<>
P
<6
=
=
3
<
soru 8
=
3
2
E=
3
2
D=
;CRDR4;C#!(
%
;CRDR4;C#!(
%
3
B <
#!&/-*
% cotD
>
6
2
2
2
#!&/-*
% sin D D.cos D
=
1–A
3
2
=
2
<
2–E
+# B E=
3
<
D= <
3–D
=
<
2
=S<
4–D
5–D
7
=S3
E=;
6–B
D=3
7–A
=<
8–C
Trigonometri - 1
çözüm
kavrama sorusu
A
A
a
b
10
10
a
a
H
B
b
H
C
3k
I GI
I GI 2
º
º I GI ? G.-&% B I I
3;
6
C
B
E.-%JKAJEK%JGKAJEK%IIL3;
%:E=LD
B 5k
6
2
#!&/-*
%
6
GE.-&% B IGEI 2
#!&/&%
I EI 6
IGEIL2IEIL6&!'
<
<
IEI LIGI MIGEI
<
<
<
<
<
<
<
:6= L? M:2= <6 S4 L2? 3? L2? 2
<
2 36
15
IEIL6#!&/&% I EI 6' Cevap:
<
<
2
çözüm
kavrama sorusu
A
A
2
2
a
B
a
B
C
D
2ñ3
ñ3k
D
k
C
H
3
E.-%:DE=LDIILIEI%IDIL<
%IEIL?
3
&DE.-&%D=2#!&/-*
%
JGKAJEK#!+)!&JGKT.(!'
DG.-&%
I GI
B 2 º I GI
IDGI
<
<
<
2 % IDGI &!'
<
<
IDI LIGI MIDGI < L:2= M
<
<
>L> L3
IGIL2
IDGIL3
GE.-&%
<
<
<
<
<
<
IEI LIGI MIGEI IEI L:2= M2
<
<
IEI L2M4IEI L3<
IEIL<2
çözüm
kavrama sorusu
A
Cevap: <2
D
8
8
A
E
E
4
D
b
4
a
B
a
b
C
B
DaDE%D.-&% +# B ED&&*
-%JDKAJEK%IDIL5
%IIL>
:ED=LD#!&/-*
%cotD!
a
C
I DI 5

Cevap: 2
8
Trigonometri - 1
soru 1
soru 5
A
a
&E.-&
E)
.-%
JKAJEK
IIL3<
JEKAJGK
:D=LD
:G=LD
B
A
H
1
C
12
a
IGEIL3
#!&/-*
%
3
B #!&/-*
%
<
"
=
2
<
=
soru 2
<
2
E=
3
<
<
<
D=
<
2
=
=3
a
&E.-&
JKAJEK
:DE=LD
IIL2
H
C
soru 3
E=>
D=6
=?
A
&E.-&
soru 7
:G=LD
IIL2
B
C H
soru 4
=<32
E=<36
D=236
=
=23;
< 2
2
2
2
D=
=
D
a
3
E
B
=
>
6
E=
C
4
<
2
D=
3
<
=
A
D
E
JKAJDK
2ñ5
2
:=LD
IILIEI
IDEIL<
a
B
IEIL<6
D
DL<#!&/-*
%
C
DL3#!&/-*
%
=?
2–E
E=P
D=5
3–B
2
<
a
ED&&*
-
IEIL>IDI
< 6
6
A
2
6
soru 8
:DE=LD
1–B
E=
sinD!
E.-
=>
3
2
#!&/-*
%
C
A
=
IEIL>
b
a
2
%IEIL?
#!&/-*
%
<
=32
C
ED&&*
-
JDKAJEK
DL2
a E
<
2
=
JGKAJEK
:EG=LE
D
#!&/-*
%cosD!
0NO808YAYINLARI
=2
=?
B
IIL3
2
#!&/-*
%
<
=<
D=>
1
3
:GE=LD
+# B E=2
ED&&*
-
JKAJDK
B
C
A
JEKAJGK
IEIL>2
B
=<
soru 6
A
D
DL<2
=3
=3;
4–D
5–C
9
B
=2
E=>
6–B
C
D=6
7–A
=?
8–A
Trigonometri - 1
30°– 45° ve 60° lik açıların trigonometrik oranları
2;C%>6C?;C!.!
-##
#
!
!.2;S?;S4;>6S>6S4;:(
&.-=*(!.-!
&
,&!!
('0
-##
#.
&.#
)(.#
!
2;C%>6C?;C!#
!
&
'
2;S?;S4;.-
>6S>6S4;.-
A
A
60°
2 br
B
30°
45°
ñ2 br
1 br
45°
ñ3 br
C
B
&.-
&!%
2;n 3
<
?;n 2
<
3
<
+# 2;n 2
<
+# ?;n 2;n 3
2
?;n 2
+# 2;n 2
+# ?;n 3
2
3
<
>6n >6n 3
C
+# >6n 3
<
+# >6n 3
çözüm
2;C'+#2;C
2;n 2
3
+# 2;n #!&/&%
<
<
2;n'+# 2;n 3 2
2
'
< <
>
Cevap:
3
4
çözüm
kavrama sorusu
1 br
&.-
&!%
kavrama sorusu
1 br
?;C'2;CS+#2;C'+#?;C
?;n #
+# 2;n 2
3
% 2;n <
2
2
3
% +# ?;n #!&/&
<
2
?;C'2;CS+#2;C'+#?;CL
2 3
2 3
'
'
;
<
<
2
2
Cevap: 0
çözüm
kavrama sorusu
>6n'+# >6n
>6n +# >6n
#
3
3
% +# >6n <
<
>6CL3%+#>6CL3#!&/&
3 3
3
'
>6n'+# >6n
3 3 3
1
<
<
<
' Cevap:
>6n +# >6n
3 3
< < < >
4
>6n 10
Trigonometri - 1
soru 1
soru 5
2
2
<'2;C
3
<
= 3
E=
2
D=
2
<
= <
=
soru 2
soru 3
=
2
<
E= 3
D=
3
<
=
3
2
>6CM+#>6C
soru 4
3
<
=
1–B
= <
E=
<
D=
2
<
E= 3
D=
3
2
3
<
=
2
soru 8
2–D
<
<
=
>6C'>6CM+#>6C'+#>6C
=
= <
=2
2
<
?;n
+# ?;n
=?
D=
?;C'+#2;C
soru 7
<
<
E= ;
= 2
=
< 2
<
=
0NO808YAYINLARI
2
3 2
<
soru 6
+# 2;n
2
=
2;n =
=
<
E= 3
D=
3
<
=
2
<
>6n +# >6n
+# >6n >6n
E=3
D=<
3–C
=2
=2S<<
4–E
5–C
11
=3S<<
6–A
E=<S3
D=2
7–B
=<
8–A
Trigonometri - 1
4;C!.$&
'0!
.!
&
&/
#)!&
U&/
#U)
'
A
a
c
D+EL4;C:0!
.!
=
a
a
B % +# C DL+#E&
'
+
+
b
B a
a
% +# C DL+#E&
'
b
B
a
C
çözüm
kavrama sorusu
26CS+#66C
26CM66CL4;C#!&/&!
.!
&
'
#
26CL+#66C
26CS+#66CL+#66CS+#66CL;
Cevap: 0
çözüm
kavrama sorusu
P;CM<;CL4;C>;CM6;CL4;C#!&/&%P;C!<;C
P;n +# <;n
3
>;n'
+# 6;n
#
>;C!6;C!
.!
&
'
P;CL+#<;C>;CL+#6;C
P;n +# <;n +# <;n +# <;n ;
;
3
3
3
>;n'
+# 6;n '
+# 6;n
+# 6;n
Cevap: 0
çözüm
kavrama sorusu
>2CL+#D
>2CL+#D>2CMDL4;CDL>PC
<PCL+#E
<PCL+#E<PCMEL4;CEL?2C
D+EL>PCM?2CL33;C
#!&/-*
%D+E
Cevap: 110°
çözüm
kavrama sorusu
D+EL4;C#!&/&!
.!
&
'
A
DL+#E&
'
a
<
<
<
<
!&% DS+# EL ES+# EL;&
'
Cevap: 0
b
B
C
E.-%JEKAJEK%:E=LE:E=LD
2
2
#!&/-*
%sin D E
12
Trigonometri - 1
soru 1
soru 5
%&'#!*#
=+#<PC
=<PC
E=+#?2C
D=?2C
=+#?2C
DL+#P3C
EL+#<<C
#!&/ -*
% D+E #! * =PPC
soru 2
soru 6
,,'#!*#
=>>C
=+#6?C
E=+#>;C
D=6?C
=>?C
=P5C
3;CL+#5;CL6S5#!&/-*
%
=3
=<
E=2
D=>
=6
DL+#22C
:DM3;=L+#:ES<;=
soru 7
=P;C
ED&&*
-
=3;;C
C
b
:DE=LE
#!&/-*
%
=S<
soru 8
>2n' 6?n
+# 2>n'+# >Pn
a
D=4;C
:D=LD
E
A
E=5;C
D
sinDE
soru 4
=55C
#!&/ -*
% D+E #! * 0NO808YAYINLARI
D=5PC
=P6C
soru 3
E=5>C
=S3
E=;
D
B
D=3
=<
C
b
ED
:DE=LD
:DE=LE
3
=
>
3
=
<
E= 3
D= <
#!&/-*
%
= >
B +# B
+# C
C
#
= <
1–C
2–E
3–B
4–C
5–D
13
= 3
a
A
E=
6–E
3

=
3
5
8–A
Trigonometri - 1
)!-.#!
#!)
!)&
'
B
Açýnýn dýþ bölgesi
JJ)!
.
!
&
'
Açýnýn iç bölgesi
Açýnýn
köþesi
O
& ! . *) # #
& #!+ )!& B.&-*
!
'
A
Açýnýn dýþ bölgesi
. & )!-. &/
&
' G- )!-. - #!&/ . *
/!&
'*
*&.!
:M=$#(,*!%*&.!
-,*!&
'
B
rý
ena
im k
Bit
a
Baþla
O
ngýç
gýç
aþlan
B
kena
AOB açýsý
(+) Pozitif
yönlü açý
rý
O
rý
kena
B
BOA açýsý
() Negatif
yönlü açý
a
Bitim
kena
rý
A
A
. *!.% := .& -*
!
' . *!. !
& #
! .& +!+
' &
$#(,*!.*!.:=LD-,*!.*!.:=LSD&
'
çözüm
kavrama sorusu
A
Bitim
B
A
ý
r
kena
B
Pozitif yön
Baþla
ngýç
C
&E.$#(,*!
.#!&/-*
%#/0113
kena
rý
C
JE)!-.
%
J
&
'
çözüm
kavrama sorusu
ED.-,*!
.#!&/-*
%#/0113
gýç
aþlan
B
rý
kena
C
Negatif yön
D
Bitim
JDE)!-.
%
JD
&
'
14
kena
rý
E
Trigonometri - 1
soru 1
soru 3
D
#565610$
#!*
O
a
A)
B)
O
O
E
4/*#!*-
A
B
B
A
B
A
gisi 0#
C)
= )!-.
J)&
'
D)
= JD)&
'
A
O
E= X#(,*!
.&
'
D= -,*!
.&
'
B
O
= :D=LD&
'
soru 2
#!/*10$
A)
B)
A
0NO808YAYINLARI
E)
O
B
A
soru 4
70$6#!*
A)
O
B)
C
C
B
O
B
C)
C
D
K
M
O
D)
F
B
C)
D)
B
C
C
B
O
E
O
O
E)
O
E)
L
O
B
O
O
C
M
1–D
2–C
3–E
15
4–B
Trigonometri - 1
Birim Çember:
D##
&(
&
(#
U#!
.$3
#!.
&
'0
-##
,##!
.
&!!+
'
<
<
<
(:%=
.$
#!.
&!:AS= M:S= L
&
'
.
(:;%;=
.$3
#!&/&%
<
<
<
:AS;= M:S;= L3
A M L3
<
<
.
&!&
'
.
*!-!
)/&-&
'
y
y
1
x2+y2=1
1
1
2.bolge
x
1
1.bolge
1
1
1
3.bolge
1
x
4.bolge
çözüm
kavrama sorusu
2 ¬
X
% #
.
(
&#!&/-*
%
<
®
2 ¬
X
% #
.
(
&#!&/&
<
®
0!!13
A M L3
.
&!/!
'
<
<
2 ¬<
2 3

<
<

< 3 3 > >

®
3
<
3
&
'
<
Cevap: y
1
2

3 ¬
#
.
(
&%
X A%

< ®
1
1
1
A < < 3
3 ¬<
3 3
3 A < 3 A <
< ®
< <
x
3
3
A <
<
X#
.
&<'*!-&#!&/&%
1
4$1/#813
A A 3
&
'
<
Cevap: 1
2
çözüm
kavrama sorusu
3
X %
<
veya
çözüm
kavrama sorusu
P x, 1
ñ2
1
2
¬
#
.
(
&>'*!-&
®
y
A < < 3
3¬<
< 3
< ®
#!&/-*
%0
x
P 1 ,y
2
16
< 2
2
º &
'
>
<
Cevap: 3
2
Trigonometri - 1
soru 1
3
X %
>
soru 5
¬
#
.
(
&#!&/-*
%
®
y
P x, ò10
4
4
$1/#
01!
x
8
=
3
>
=
2
>
E=
2
>
D=
3;
>
36
>
=
=
soru 2
3
5
=
soru 6
3
¬
X
% #
.
(
&#!&/-*
%
< ®
2
5
E=
6
5
2
>
D=
?
>
=
y
P x, 1
3
4
$1/#
0!
x
8
= 3
>
= 3
<
E= 3
<
D= 2
<
6
<
= soru 3

6 ¬
X A%
#
.
(
&'*!-&#!&/

2 ®
-*
%9
0NO808YAYINLARI
= 6
2
= D= soru 7
?
2
< <
2
E= < 2
2
3;
2
= y
4
$1/#
x
8
= <
2
= <
2
E= 3
2
D=
3
2
=
<
2
P ñ3 , y
2
= soru 4
3
<
soru 8
= 2
<
=
3
<
y
x
8
P 1 ,y
ñ5
= 3
6
= D= 3–A
<
<
D=
$1/#
3
3
3 5¬
3¬
3 ¬

= %
=
%
E= %
<

<®
2 2®
<
®
<
3
¬

¬
2
2
32
D= %
=
%

< ®
> ®
<
>
2–C
3
< <
4
X:A% = # .
(
& ' *!-& #!&/
-*
%#!*
1–E
E= 4–E
5–E
17
3
6
E= 6
6
= 6–D
7–A
2
6
< 6
6
8–E
Trigonometri - 1
Açı Ölçü Birimleri:
.!
*!..!!&/(
!
&
+
&&
'0.
2?;)$
.*!&/&$
.!
&
-*
(.*!.3&
+&
3C.&-*
!
'0.
2?;C&
'G
-
.
*!.:=!-*
!
'
Y
.$)(!.
-*
(.*!.3
&!.&
'
.
&
L3
#!&/&.
.
<S'3L<S&
'3
!(!/&<S
&
'&&#!.
<S
&&
'
A
1° lik
açý
O
A
Çember yayýnýn
1
360
B
O
0.
2?;C
1
radyanlýk
açý
1 br
1 br
uzunluðundaki
yay
B
0.
<S
&&
'
0.
&
+#!
2?;&
+%
&#!
<S
&)#!&/&.*!.
&%
D
&!)
!
$!&/&%
2?; <Q
D:&
+= :
&=
35;
Q
#
!&&!
'
çözüm
kavrama sorusu
:;0$$!
D
/&%
35; Q
2;
35;'L2;'S
35; Q
2;Q
35;
Q
&&
'
?
Cevap:
Q
6
çözüm
kavrama sorusu
:=L<>;C#!&/-*
%$$0
D
/&%
35; Q
<>; 35;'L<>;'S
35; Q
<>;Q
35;
>Q
&&
'
2
Cevap:
4Q
3
çözüm
kavrama sorusu
11Q
0$$
6
33Q 33'35;
33'2; 22;
?
?
D
#!&/&35;C!.S
&!.
35;n Q
*!.)
'(&
&#!
!.
!
&S
35;&
+(!
('
18
Cevap: 330°
Trigonometri - 1
soru 1
soru 5
Q
0$$$$#!4
*
,>$$0$$#!*
=
Q
?
soru 2
=
Q
>
E=
Q
2
D=
Q
<
=
<Q
2
=36C
soru 6
2Q
6
<Q
2
E=
6Q
?
D=
>Q
2
=
2Q
<
6Q
?
soru 4
=
PQ
?
E=
6Q
>
D=
PQ
>
=
33Q
?
1–B
soru 7
soru 8
=
6Q
<
2–C
E=
3>Q
2
D= 2Q
3–B
=
=3;6C
=P6C
E=3<;C
D=326C
=36;C
=36;C
=<3;C
E=<>;C
D=<P;C
=2;;C
7Q
0 $$ $$ #!2
*
>,;' $$ 0 $$ #!
*
= <Q
D=?;C
5Q
0 $$ $$ #!3
*
%@;' $$ 0 $$ #!
*
=
E=>6C
=P6C
0NO808YAYINLARI
soru 3
=
=2;C
5Q
0 $$ $$ #!12
*
@>;' $$ 0 $$ #!
*
=
PQ
<
=2P6C
4–D
5–C
19
=24;C
E=>6;C
6–A
D=6>;C
7–E
=?2;C
8–E
Trigonometri - 1
0
-##
#.
&*!.&
+
&#!
!.!
.#/!!..
(
&-*
+/('
y
O
y
P
0° ve
0 radyan
P
x
O
y
90° ve
p
radyan
2
x
A
y
O
P
180° ve
p radyan
A
y
A
x
P
x
O
270° ve
A
P
O
3p
radyan
2
x
360° ve
2p radyan
XX.*!.
X.*!.
X.*!.
X.*!.
X.*!.
;C;
&&
'
Q
4;C &&
'
<
35;CS
&&
'
2Q
<P;C
&&
'
<
2?;C<S
&&
'
çözüm
kavrama sorusu
4
y
$1/#
D
/&%
35; Q
>6 Q
>6
35;'L>6'S 35;
35; Q
P
68$$
0
45° A
O
x
Q
&&
'
>
Cevap:
Q
4
çözüm
kavrama sorusu
y
Bitim
kenarý
P
30°
P
Baþlangýç
noktasý
90°
30°
x
O
y
x
O
Baþlangýç
kenarý
# X #! . &
+ #!
*!. !&
4;M2;L3<;&
'
400$18
0$$
D
/&%
35; Q
3<; Q <Q
3<; 2
35;
35; Q
.
(
&#
!.
!
)!-.#!
:3%;=#&
'
Cevap:
2Q
3
çözüm
kavrama sorusu
y
y
p
p+
6
p
6
O
x
O
Bitim
kenarý
P
P
Baþlangýç
noktasý
x
Baþlangýç
kenarý
#X#!.*!.
&#!
!&
400$18
$$$13
Q
Q PQ
&
'
?
?
P'35;
PQ
&!.L
LP'2;L<3;C&
'Cevap: 210°
?
?
20
Trigonometri - 1
soru 1
soru 5
y
4
y
P
4
15°
$1
$1
P
x
O
O
8
8
$$0
$$
=
Q
2;
soru 2
=
Q
36
E=
Q
3<
D=
Q
3;
=
Q
4
=36C
soru 6
y
4
=2;C
E=>6C
P
30°
x
O
P
$$
soru 3
6Q
2
E=
6Q
>
D=
<Q
2
=
2Q
>
y
4
0NO808YAYINLARI
8
=
$1
=
<Q
2
E=
D=
6Q
2
=
6Q
>
soru 8
=34;C
O
x
P
E=<;;C
D=<3;C
=<>;C
y
$1
O
x
30°
8
$$0
1–C
p
6
4
$1
6Q
?
4
=356C
y
=3>6C
y
$$
2Q
>
D=326C
8
4
=
E=3;6C
P
$$0
soru 4
x
45°
8
Q
>
soru 7
=P6C
$1
O
=
=>6C
x
O
$$0
6Q
?
p
4
8
=
=P;C
y
$1
x
D=?;C
4
$1
p
4
=
6Q
2
2–A
8
$$
P
E=
>Q
2
D=
3–E
<Q
2
O
=
2Q
>
=<5;C
4–B
5–C
21
=2;;C
E=23;C
6–D
x
p
6
D=2<;C
7–D
P
=22;C
8–E
Trigonometri - 1
X#(,*!.!
&#!&/--,*!.!
&
.
(
&-*
!
('
y
y
Bitim kenarý
P
Baþlangýç
kenarý
a
x
O
O
x
a
Baþlangýç
kenarý
Bitim
kenarý
P
çözüm
kavrama sorusu
&;0$113
y
90°
180°
0°
O
x
70°
P
270°
çözüm
kavrama sorusu
y
y Pozitif yönlü
90°
40°
O
180°+40°=220° derece
180°
x
40°
P
0°
O
x
P
270°
y
4 $1 8 /#10$/0$
$13
90°( 270°)
(180°)
180°
40°
O
0°
x
Negatif yönlü
(180° 40°)=140°
P
270°
( 90°)
Cevap: 220°, – 140°
çözüm
kavrama sorusu
p y
2
y
P
p
4
O
p
x
P
p
4
O
2Q Q 6Q
<
>
>
22
3p
4
0
x
O
p
P
3p
2
X#(,*!%
4 $1 8 /#10$/0$0
$13
Pozitif yönlü
3p p = 5p
2 4
4
p
4
y
x
Negatif yönlü
p p
3p
p 4 + 2 = 4
2
-,*!%
Q Q¬
2Q
6Q
2Q
Cevap:
%
> < ®
>
>
>
Trigonometri - 1
soru 1
soru 5
y
4
8
x
=S36;C
E=S<>;C
D=S2;;C
=S22;C
= PQ
?
soru 6
y
P
4
= x
O
p
3
D=S<>;C
=S2;;C
y
= <Q
6
= D= soru 7
6Q
?
$1
x
81
0$$$
E= 6Q
2
soru 4
=2;;C
E=<5;C
D=<P;C
P
=<>;C
=
2Q
>
soru 8
y
=
6Q
>
E=
$1
$1
P
0$$$
x
D=
=
33Q
>
P
O
81
165°
4Q
>
y
4
O
PQ
>
4
81
x
p
4
O
0$$$0
P
=2<;C
2Q
>
y
$1
60°
<Q
2
4
O
P
= 4
81
x
O
0$$$0
0NO808YAYINLARI
soru 3
34Q
3<
32Q
3<
y
8
0$$$
E=S3<;C
E= = $1
120°
8
=S?;C
3PQ
3<
33Q
?
4
$1
=S2;C
x
0$$$0
D= soru 2
O
8
0$$$
=S?;C
p
12
$1
30°
O
P
4
P
$1
y
x
7p
6
0$$$0
=346C
1–E
=<;6C
2–D
E=<36C
D=<<6C
3–B
=
=<26C
4–A
6Q
?
5–E
23
=
6Q
2
E=
6–B
>Q
2
D=
7–C
2Q
>
=
<Q
2
8–A
Trigonometri - 1
Esas Ölçüsü:
.*!.2?;&
+<S
&)
'B!.2?;C&<S
&&#!.!
)!-.#
&
-.
!
'
y
y
y
P
a
O
P
P
a
x
a
x
O
O
360°+a açýsý
x
720°+a açýsý
&)!!
&-*
!&/-%D.2?;C!
!&/&##!&
'
;GDR2?;C#!(
%D.:DM2?;C=%:DMP<;C=%:DM3;5;C=%'''.!
*!.&
'N#!(
DM'2?;C!.*!.D&
+&
'
;GDR<S#!(
%DM'<S:N=.!
*!.D
&&
'
çözüm
kavrama sorusu
>H;' / @,;;' $$ 13
.
(
&
)!-. #&
)!$ 2?;C ! $ #
<<;C
& !
!
X x
#-!
'*!
.<<;C&
'
y
220°
Z! .(
*!. ! 65; #&:2?;=-*
&/
!& #!&
'.
2?;T*!&!*!.&
'
O
P
3>;;C!.*!.%
580 360
360 1
Esas ölçü
220
1400 360
1080 3
Esas ölçü
320
Cevap: 220°, 320°
çözüm
kavrama sorusu
&#!
!).!
*!.!
!..
.&!<S!
!
'
33Q
22Q
0/
0
4
3
$013
11S0
33Q 3;Q
N
Q Q *!.&
'
<S
#!&/. !
&!
'
22Q 2<Q Q 2<Q Q
>
>
>
>
º
5Q Q Q
*!.&
'
> >
<<Q <3Q Q <3Q Q
2
2
2
2
PQ Q
Q >Q
*!.&
'
?Q Q 2
2
2
Cevap: Q%
24
Q >Q
%
> 2
Trigonometri - 1
soru 1
soru 5
,&;$$
=4;C
soru 2
=3;;C
E=33;C
D=3<;C
7S0$$0
=32;C
=
J:;'$$
=3;;C
E=3<;C
D=32;C
=<P;C
soru 4
E=2;C
D=>;C
=6;C
1–C
soru 7
=
=<3;C
2–E
E=<<;C
D=<>;C
3–B
=
= <Q
Q
<
E= Q
2Q
<
D=
= <Q
2Q
<
soru 8
=
Q
<
E=
Q
>
D=
2Q
>
=
6Q
>
=
6Q
?
<6Q
0$$0
?
@:%;'$$
=<;;C
2Q
<
D=
32Q
0$$0
>
@@;;'$$
=<;C
E= Q
= ;
=3;C
Q
<
=
18S0$$0
0NO808YAYINLARI
soru 3
Q
2
soru 6
=4;C
=<?;C
=
4–D
Q
2
5–C
25
=
Q
?
E=
6–A
<Q
2
D=
7–E
Q
<
8–B
Trigonometri - 1
-,*!.!
*!..J;%2?;C=J;%<S=
&
&!$#(,*!&
'
çözüm
kavrama sorusu
,;;'$$$13
-,*&>;;C!
y
!&/&
#
)!&-X#!
'
*!. J;% 2?;=
320°
O
x
40°
!/& #! -
/& . $#
(,*!
)!/#!
P
2<;C*!.&
'
Cevap: 320°
çözüm
kavrama sorusu
1. Yöntem:
@&;'/H;;'$13
S3P;C2?;C
SS2?;CS3 *!.
34;C
Z!.(&*!.!
!.*
&
'
Birincisi;2?;*!
!!
'+*!&
&(-
!$#(,.-
/&
'
S5;;C2?;C
SS3;5;CS2 *!.
<5;C
2. Yöntem:
OP .!
$#(,*!#!
&)$!#
.!
2?;&.
'
3P;R2?;C#!&/&*!-
!&
2?;S3P;L34;*!.!
'
S5;;C!.5;;C:$#(,*!-=&)!
%
5;;C2?;C
SP<;C< 5;C
!#.2?;&.
!
'
2?;CS5;CL<5;C*!.&
'
Cevap: 190°, 280°
çözüm
kavrama sorusu
<Q
3PQ
0$$$13
2
2
<Q
&!.!&/
+<S&.#!&/&
2
<S!#$!
*!.!!
'
<Q ¬
<Q >Q
<Q <Q *!.
2 ®
2
2
3PQ
&!..*
&
'
2
1. yöntem: 3PQ 35Q Q 35Q Q
2
2
º
2
?Q
N
<S
#!&/& !
&!
'
2
Q Q
2 2
2. yöntem: 3PQ $#(, #!
&)!
*!.
2
!$%!&&!#.<S&.
!!
'
26
3PQ 36Q <Q 36Q <Q
<Q
6Q 2
2
2
2
2
º
<Q >Q Q <Q 6Q
!#.<S&.
!
'
2
2
6Q Q
*!.&
'
2
2
Cevap:
>Q Q
%
2 2
Trigonometri - 1
soru 1
soru 5
@>;'$$
=<3;C
soru 2
=<<;C
E=<2;C
D=<>;C
=<6;C
=2;;C
E=<>;C
D=3<;C
=?;C
soru 4
=<>;C
E=<P;C
D=2;;C
=22;C
1–A
2–B
E=35;C
D=<>;C
3–E
Q
2
=
Q
>
D=
2Q
>
=
6Q
>
E=
Q
<
D=
=
6Q
?
<Q
2
Q
<
soru 8
=3<;C
E=
Q
?
soru 7
=
@%;;'$$
=4;C
Q
5
32Q
0$$0
2
&>;'$$
=2;C
=
33Q
0$$0
?
=
0NO808YAYINLARI
soru 3
2Q
5
soru 6
,%;'$$
=2<;C
2Q
0$$0
>
=
=2;;C
Q
3;
5–E
27
6Q
2
E=
>Q
2
D=
<Q
2
=
Q
2
=
>Q
6
<5Q
0$$0
6
=
4–D
=
=
Q
6
E=
6–A
<Q
6
D=
7–B
2Q
6
8–C
Trigonometri - 1
çözüm
kavrama sorusu
y
y
P
60°
O
30, 60, 90 üçgenindeki
oranlar
P
30°
1
30°
60°
x
O
4$1813
2k
x
A
60°
k
y
P
1 , ñ3
2 2
P
ñ3
2
30°
1
kñ3
ñ3
2
60°
ñ3
2
30°
1 A
2
O
x
60°
O
A
1
2
3 2 ¬
&
'
X###
&!
X %
< < ®
1
3 ¬
Cevap: P ,

2 2 ®
çözüm
kavrama sorusu
y
y
P
P
150°
O
x
P
60°
30°
A
150°
1
2
x
O
60°
A
P
1
2
A ñ3
2
1
2
150°
O
30°
ñ3
2
O
X # ' *!-&
#!&/&$
-,&/
!
'
y
4$1813
1
x

2 3¬
X
%
< < ®

3 1 ¬
,
Cevap: P
2 ®
2
28
Trigonometri - 1
y
soru 1
y
soru 4
P
45°
O
P
135°
x
x
O
4$18-
4$18-
#!*
#!*
2
2 ¬
=
%

<
< ®
3 3¬
= %
< < ®
3
3 ¬

D=
%
<
< ®
soru 2

3 3¬
2 3¬
=
%
= %
< < ®
<
< ®
3
3
3 ¬
D=
%
=
%

<

< ®
<
E= :3% 3=
= :<% <=
soru 5
y
P
3
3 ¬
E=
%

<
< ®
3 ¬

< ®
y
30°
300°
x
4$18#!*
3
2 ¬
= %

< < ®
3
3
2 ¬
2 ¬
= % E= %

<
<
< ®
< ®
2

3¬
2 3¬
D=
%
=
%
< ®
< ®
<
<
soru 3
60°
O
P
4$18#!*

2 3¬
=
%
<
< ®
2
3
3¬
2 ¬
=
%
E= %

<
< < ®
< ®
3
3
2 ¬
2 ¬
D= % = %

<
< ®
< ®
<
soru 6
y
x
O
0NO808YAYINLARI
O
y
315°
x
x
O
P
P
4$18#!*
4$18#!*
3
3
3
2 ¬
3¬
2 ¬
=
% =
%
E= %

<
< ®
< ®
< ®

<
2
3
3
2 ¬
2 ¬
D= %
= %

<
< ®
< < ®
3
3
3 ¬

=
% =
%
<

< ®
<
3
3 ¬
D=
%

<
< ®
1–D
2–A
3–C
4–E
29
3 ¬

< ®
3
3 ¬

E=
%

<
< ®
3 3¬
= %
< < ®
5–D
6–A
Trigonometri - 1
çözüm
kavrama sorusu
810$@%;'$1
y
13
y
P
30°
120°
?
x
O
X#$ P
1
60°
1 1
2 2
120°
x
O
3
&
'
<
Cevap: 1
2
çözüm
kavrama sorusu
y
>Q
0$1
2
13
810$
>Q >'35;
<>;n
2
2
240°
x
O
?
P
y
X##
& 240°
O
30°
1
P

60°
ñ3
2
2
<
x
ñ3
2
Cevap: 3
2
çözüm
kavrama sorusu
70$@:>'$1
/13
y
O
?
x
135°
?
P
y
1
ñ2
1
ñ2
P
30
1
ñ2
45°
1
O
135°
1
ñ2
X#Q
3
$L <
3
x #
&L <
Cevap: 1
1
% 2
2
Trigonometri - 1
soru 1
soru 5
810$:;'$1
70$,>'$1
= 3
<
soru 2
= 2
<
E=
3
<
D=
3
<
2
<
=
soru 6
810$@>;'$1
2
<
soru 3
= 3
<
E= 3
<
D=
3
<
=
2
<
= 6Q
0$1
810$
2
= 3
<
soru 4
= 3
<
E= 2
<
D=
3
<
=
3
<
1–E
2–D
E= 3
<
3–E
D=
3
<
=
2
<
= 3
<
D=
=
2
<
E=
3
<
2
<
D=
=
3
<
3
<
soru 8
2
<
3
<
3
<
soru 7
= = E=
<Q
0$12
6Q
0$1
2
3
<
3
<
70$ 810$
= = %@;'$1
0NO808YAYINLARI
= 2
<
= = 3
<
E= 2
<
D=
3
<
=
2
<
S0$1
2
<
= 3
4–B
5–D
31
= 2
<
6–C
E= 3
D= ;
7–A
= 3
8–D
Trigonometri - 1
Kosinüs Fonksiyonu:
.
(
&D.#X#!'X#$D$$&
cosD!-*
!
'
.#&#$#!&/&%A$&&
'
.
(
&!
#$.S33&/
!
!!+/&#,##&/
JS3%3K
!/&
'
+#oJS3%3K
90°
Do+#D
180°
y
P
a
0°
x (Kosinüs ekseni)
O cosa
270°
1£ cosa £ 1
çözüm
kavrama sorusu
J;'$$$13
y
P 30°
1
ñ3
60°
2
O 1 cosa
x (Kosinüs ekseni)
2
3
2 ¬
3
X # ##
&!
X < % < $ #!&/

®
<
3
&% +# ?;n &
'
<
1
Cevap:
2
çözüm
kavrama sorusu
@>;'!13
60°
y
30°
P
1
1
150°
2
cosa ñ3 O
x
2

2 3¬
X###
&!
X < % <

®
X#$'*!-&#!&/&-,&/
!
'
+#36;n Cevap: 3
2
Cevap: 1
2
çözüm
kavrama sorusu
+#
2
&
'
<
6Q
!13
>
+#
6Q
6'35;n
+#
+# <<6n
>
>
y
cosa
1
P
1
ñ2
225°
1
ñ2
x
45°
3
3 ¬

%
X###
&!
X

<
< ®
#!&/& +# B 32
3
<
Trigonometri - 1
soru 1
soru 5
:;'!
=
3
<
=
soru 2
2
<
E=
<
<
+#
D= <
<
= 3
<
2
<
<
<
soru 6
@:>'!
=
<
<
E= +#
<
<
D= 3
<
= 2
<
2
<
= 2
<
E=
D=
3
<
=
<
<
=
<
<
=
2
<
=
2
<
<Q
!
2
= 2
<
= 3
<
E=
3
<
D=
2
<
0NO808YAYINLARI
=
Q
!
>
= soru 3
soru 7
%@;'!
= 3
<
soru 4
= 2
<
E=
+#
3
<
D=
2
<
=
<
<
1–B
2
<
3
<
soru 8
:;;'!
= 2Q
!
>
= = 3
<
2–C
E=
+#
3
<
D=
3–B
2
<
=
<
<
2
<
5–E
33
= 2
<
E= <
<
D=
<
<
33Q
!
?
= 4–C
= 3
<
6–B
E=
3
<
D=
7–C
<
<
8–E
Trigonometri - 1
y
P2(0, 1)
P3( 1, 1)
90°<a<180°
cosa<0
180°
x
P1(1, 0)
O
y
90°
0°<a<90°
cosa>0
II. bölge
I. bölge
III. bölge
IV. bölge
0°
180°<a<270°
cosa<0
270°<a<360°
cosa>0
P4(0, 1)
270°
JX3K#!.+#;CL3
+#D)
Q
JX<K#!.+#4;CL +# ;
<
JX2K#!.+#35;CL+#SLS3
JX>K#!.+#<P;CL +#
x
2Q
;
<
;CRDR4;C
+
4;CRDR35;C
S
35;CRDR<P;C
S
<P;CRDR2?;C
+
çözüm
kavrama sorusu
Q@>;'
!13
y
ñ3
2
1
2
+#:36;n= 30°
O
x
150°
P
2
<
Cevap: 3
2
çözüm
kavrama sorusu
D#!(
% 2cosDS@!!!13
S3[+#D[3#!&/&
S<[<+#D[<
S3[<+#DM3[2
<+#DM3,&JS3%2K
!/&&/
!
'Cevap: [– 1, 3]
çözüm
kavrama sorusu
L+#3;C
L+#P;C
+L+#3<;C
+#3;C%+#P;C+#3<;C&/
!
.
(
&
)
!!'
y
P120
P70
120°
#!&/-*
%/0$$$0$!!
013
c O
70°
b
10°
P10
a
x
Z!&&-*
!&/-
34
+#3<;CR+#P;CR+#3;C
+RR
Cevap: c<b<a
Trigonometri - 1
soru 1
soru 5
D#!(
% 3cosD@!!#!-
T;'S@H;'S%&;'
*
=S<
=S3
E=;
D=3
=<
=JS>%S3K
soru 2
QJ;'
!
2
= <
D=JS2%<K
soru 6
<
= <
3
E= <
3
D=
<
2
=
<
=JS>%S<K
L+#6;'
L+#2;'
+L+#P;'
#!&/-*
%/0$$$0$!!
##!*
0NO808YAYINLARI
Q%@;'
!
2
= <
<
= <
3
E= <
3
D=
<
2
=
<
=+RR
D=RR+
soru 7
L+#3;;'
L+#36;'
+L+#3P;'
Q@H;'
S@H;'
E=;
D=3
=<
=+RR
D=R+R
soru 8
=S3
=R+R
#!&/-*
%/0$$$0$!!
##!*
=S<
E=+RR
=+RR
soru 4
=JS>%<K
=RR+
soru 3
E=JS<%<K
E=RR+
=RR+
L+#6'
L+#<6;'
+L+#<4;'
#!&/-*
%/0$$$0$!!
##!*
=+RR
1–B
2–D
3–A
4–A
5–E
35
=RR+
D=RR+
6–B
E=R+R
=R+R
7–A
8–C
Trigonometri - 1
Sinüs Fonksiyonu:
.
(
&D.#X#!'X##
&D$$&
sinD!-*
!
'
.&##
&#!&/&%$&&
'
.
(
&
#
#
&.S33&/
!
!!+/&,##&/
JS3%3K
!/&
'
oJS3%3K
90°
sina
DoD
180°
O
y (Sinüs ekseni)
P
a
0°
x
270°
1£ sina £ 1
çözüm
kavrama sorusu
:;'$$$13
y (sinüs ekseni)
60°
P
sina
1
1
30° 2 x
O
ñ3
2
2 3¬
3
% #
&
X###
&!
X
<
< < ®
#!&/&% 2;n 3
&
'
<
Cevap:
çözüm
kavrama sorusu
@:>'!13
y (sinüs ekseni)
P
1
ñ2
1
45°
1
ñ2
sina
135°
x
O
3
X###
&!
X
%

<
X##
&
3 ¬

< ®
3
3
<
#!&/&% 326n <
<
<
Cevap:
çözüm
kavrama sorusu
2
2
y (sinüs ekseni)
6Q
!13
2
1
2
90°
6Q
6'35;n
2;;n
2
2
180° 300°
sina
1
2
1
60°
ñ3
2
x
270° 30° P
3
2 ¬
X###
&!
X %
<
< ®
X##
&'*!-&#!&/&-,&/
!
'
36
6Q
2
2;;n 2
<
Cevap: 3
2
Trigonometri - 1
soru 1
soru 5
J;'!
2
<
=
soru 2
=
3
<
E= 3
<
D= 3
<
= 2
<
3
<
2
<
soru 6
@%;'!
=
2
<
E=
<
<
D= 3
<
= 2
<
= 3
<
E=
3
<
2
<
D=
=
<
<
6Q
!
?
= 2
<
= 3
<
E=
<
<
D=
2
<
=
3
<
0NO808YAYINLARI
=
Q
!
>
= soru 3
soru 7
%%>'!
= 2
<
soru 4
= 3
<
E= <
<
D=
<
<
=
3
<
1–A
2
<
2
<
soru 8
%@;'!
= >Q
!
2
= = 3
<
2–B
E= <
<
3–C
D=
3
<
=
2
<
=
4–B
= <
<
E= 3
<
D=
3
<
=
2
<
2
<
= 33Q
!
?
2
<
5–E
37
=
<
<
E= 6–E
<
<
D= 7–A
3
<
8–E
Trigonometri - 1
y (sinüs ekseni)
y (sinüs ekseni)
P2(0, 1)
90°
90°<a<180°
sina>0
P3( 1, 0)
180°
x
P1(1, 0)
O
0°<a<90°
sina>0
II. bölge
I. bölge
III. bölge
IV. bölge
0°
180°<a<270°
sina<0
270°<a<360°
sina<0
P4(0, 1)
270°
JX3K#!.;CL;
D)
Q
JX<K#!.4;CL 3
<
JX2K#!.35;CLSL;
JX>K#!.<P;CL x
2Q
3
<
;CRDR4;C
+
4;CRDR35;C
+
35;CRDR<P;C
S
<P;CRDR2?;C
S
çözüm
kavrama sorusu
Q¬
!13
> ®
y (sinüs ekseni)
O
sina= 1
ñ2
1
ñ2
1
ñ2
p

4
1
x
1
ñ2
P
Q¬
3
<
> ®
<
<
Cevap: 2
2
çözüm
kavrama sorusu
D #! (
% DL<M3 #!&/ -*
% 0
!!!13
3 b B b 3 #!&/&
N
3 b < 3 b 3
;C
2;C%3<;C<>;C&/
!
.
(
&
)
!!'
y
P120
a
#!&/-*
%/0$$$0$!!
013
240°
P240
b
120°
O
30°
P30
x
c
Z!&&-*
!&/-
38
<>;CR2;CR3<;C
+RR
Cevap: c<aK
=S3
E=;
D#!(
%sinDU:@!0
!!!#!*
D=3
=<
3 <¯
= ¡ % °
¡¢ < 2 °±
<Q ¬
!
2 ®
3
= <
<
E= <
<
D=
<
3
=
<
0NO808YAYINLARI
2
= <
3¯
= ¡;% °
¡¢ 2 °±
soru 7
L3;C
L6;C
+L5;C
Q%,;'
!
3
E=
<
<
D=
<
2
=
<
=+RR
D=R+R
soru 8
3
= <
L36;C
L<3;C
+L22;C
3–A
=RR+
#!&/-*
%/0$$$0$!!
##!*
2–B
E=RR+
=L+R
1–D
= < ;% 2 >
#!&/-*
%/0$$$0$!!
##!*
2
= <
<¯
E= ¡;% °
¡¢ 2 °±
=+RR
soru 4
=J<%6K
D= < ;% < >
soru 3
E=J3%>K
4–E
5–D
39
=RL+
D=R+R
6–C
E=LR+
=+RR
7–E
8–A
Trigonometri - 1
Tanjant Fonksiyonu:
.
(
&D.
JXK#!'
(AL3&#/
/##
&
DV&
tanD!-*
!
'4;C<P;C!.!
!
(!
AL3&#/
&/.
U,##S\4;C%<P;C]&
'
S\4;%<P;]o
DoD
1
tana
y
T
P
1
O
1
a
1
x
x=1 doðrusu (Tanjant ekseni)
çözüm
kavrama sorusu
J;'V13
y
tana
30°
2
T(1, ñ3)
ñ3
P
60°
O
x
1
Tanjant ekseni
D . ( AL3 &#/
/ # 0:3% 2= 0 # #
& 2 #!&/&%
?;CL2
'
Cevap: 3
çözüm
kavrama sorusu
6Q
!13
?
6Q
6'35;n
36;n
?
?
y
P
30°
150° 1
O
1
ñ3
30°
60°
1
ñ3
x
Tanjant ekseni
40
6Q
3
36;n ?
2
Cevap: 1
3
Trigonometri - 1
soru 1
soru 5
,>'!
= 2
soru 2
= 3
E= ;
D=
3
2
= 3
2
=
soru 6
@%;'!
3
2
= E= ;
D= 3
=
E= 3
3
2
D= = 2
2Q
!
>
= 3
2
3
2
= ;
D= E= 3
3
2
= 2
0NO808YAYINLARI
= 2
Q
!
?
=
soru 3
soru 7
%@;'!
= 3
<
soru 4
= 3
2
E=
3
2
D= 3
=
1–E
2
=
soru 8
:;;'!
= 2
6Q
!
2
=
2
= 3
2
2–A
E= ;
D=
3–C
2
=
3
2
3
2
5–B
41
3
2
E= 3
D= 2
= 3
2
=
3
2
33Q
!
?
= 4–A
= 2
6–A
E= 3
D=
7–D
2
8–A
Trigonometri - 1
y
y
P2
P3
P1
O
90°
90°<a<180°
tana<0
()
II. bölge
I. bölge
180°
x
180°<a<270°
tana>0
(+)
P4
III. bölge
IV. bölge
270°
0°
x
270°<a<360°
tana<0
()
Tanjant ekseni
Tanjant ekseni
JX3K#!.;CL;
D)
Q
JX<K#!.4;CL (
<
JX2K#!.35;CLSL;
JX>K#!.<P;CL 0°<a<90°
tana>0
(+)
2Q
(
<
;CRDR4;C
+
4;CRDR35;C
S
35;CRDR<P;C
+
<P;CRDR2?;C
S
çözüm
kavrama sorusu
<Q ¬
!13
2 ®
<Q ¬
<'35; ¬

:3<;=

2 ®
2 ®
y
tan(120)=ñ3
30°
T
ñ3
O
60°
120°
x
1
P
Tanjant ekseni
<Q ¬
:3<;= 2 ®
çözüm
kavrama sorusu
L2;C
L6;C
+L36;C
Cevap: 3
2
b
P150
a
y
50°
150°
O
#!&/-*
%/0$$$0$!!
013
c
P50
30°
P30
T50
T30
x
T150
Tanjant ekseni
Z!&&-*
!&/-%
42
36;CR2;CR6;C
+RR
Cevap: c<a<b
Trigonometri - 1
soru 1
soru 5
2Q ¬
!
< ®
Q:;'
!
= 2
soru 2
3
2
= E= ;
D= 3
=
=0(
2
soru 6
QT;'
!
=S2
=S3
E=3
D=;
=(
=S3
E=;
D=3
=2
L3;C
L<;C
+L5;C
#!&/-*
%/0$$$0$!!
##!*
=R+R
soru 3
0NO808YAYINLARI
Q@H;'
SQ@H;'
=S<
=S3
E=<
D=;
=(
=R+R
D=+RR
soru 7
E=RR+
=+RR
L3;;C
L3<;C
+L3P;C
#!&/-*
%/0$$$0$!!
##!*
=+RR
soru 4
6Q ¬
!
? ®
= 2
D=RR+
soru 8
= 3
2
E= ;
D=
2
=
3
2
=RR+
E=R+R
=R+R
L3?;C
L34;C
+L<;;C
#!&/-*
%/0$$$0$!!
##!*
=R+R
1–B
2–E
3–D
4–E
D=RR+
5–A
43
=RR+
6–C
E=R+R
=+RR
7–B
8–D
Trigonometri - 1
Kotanjant Fonksiyonu:
.
(
&D.
JXK#!'
(L3&#/
/#$D
V&
cotD!-*
!
';C35;C!.!
!
(!
L3&#/
&/.
#U,##S\;C%35;C]&
'
+# S\;C%35;C]o
y
1
Do+#D
y=1 doðrusu
(Kotanjant ekseni)
C
P
1
O
a
1 cota
x
1
çözüm
kavrama sorusu
:;'V13
y
C(ñ3, 1)
P
60°
1
30°
O
ñ3
Kotanjant
ekseni
cot30°
x
2;C!.
(L3&#/
/
#E:2%3=E#$2#!&/&%
+#2;CL2
'
Cevap: 3
çözüm
kavrama sorusu
+#
<Q
!13
2
+#
<Q
<'35;n
+#
+#3<;n
2
2
y
C
P
30°
Kotanjant
ekseni
1
120°
60°
1

1 O
ñ3
ñ3
+#
44
<Q
3
+#3<;n 2
2
x
Cevap: 1
3
Trigonometri - 1
soru 1
soru 5
J;'!
=
2
soru 2
=
3
2
+#
E= 3
= D= ;
3
2
Q
!
>
=S3
=S2
soru 6
@:>'!
=S3
E=;
D=3
=2
E=;
D=2
=3
+#
6Q
!
?
=
3
2
E= 3
= ;
3
2
D= = 2
0NO808YAYINLARI
=S2
soru 3
soru 7
%,;'!
= 2
soru 4
= 3
2
+#
E= 3
D=
3
2
=
1–B
3
2
soru 8
= 3
2
2–B
= 2
E= 3
D=
2
= 3
6Q
!
+#
2
::;'!
= 2
6Q
!
>
= 2
E= 3
3–D
D=
3
2
=
= 2
4–A
3
2
5–E
45
= 2
6–E
E= 3
D= 3
7–E
=
2
8–A
Trigonometri - 1
y
y
P2
P3
Kotanjant
ekseni
P1
O
90°
90°<a<180°
cota<0
II. bölge
180°
x
180°<a<270°
cota>0
III. bölge
P4
IV. bölge
0°
Kotanjant
ekseni
x
270°<a<360°
cota<0
270°
JX3K#!.+#;C(
Q
JX<K#!.+#4;CL +# L;
<
JX2K#!.+#35;CL+#S(
JX>K#!.+#<P;CL +#
I. bölge
0°<a<90°
cota>0
+#D)
2Q
L;
<
;CRDR4;C
+
4;CRDR35;C
S
35;CRDR<P;C
+
<P;CRDR2?;C
S
çözüm
kavrama sorusu
QJ;'
!13
y
C
Kotanjant
ekseni
30°
1
60° O
60°
1 1
ñ3
ñ3
x
P
+#:?;n= L+#P;C
L+#3;;C
+L+#<<;C
Cevap: 1
3
çözüm
kavrama sorusu
3
2
y
C100 C70
P100 P70
C220
220°
#!&/-*
%/0$$$0$!!
013
b
Oa
c
x
P220
Z!&&-*
!&/-%
+#3;;CR+#P;CR+#<<;C
RR+
Cevap: b<a<c
46
Trigonometri - 1
soru 1
soru 5
33Q ¬
+#
? ® !
Q,>'
!
=3
=2
soru 2
E=;
D=S2
=S3
= 2
= soru 6
QT;'
!
=(
=S3
3
2
E= ;
E=;
D=3
3
2
E= 3
2
D= 2
= ;
0NO808YAYINLARI
6Q ¬
+# !
? ®
=
=S%S%M
D=S%M%M
soru 7
L+#3;C
L+#>;C
+L+#56C
#!&/-*
%/0$$$0$!!
##!*
=S3
=;
E=3
D=2
=(
=RR+
D=+RR
soru 8
2Q ¬
+# !
< ®
E=M%S%S
=M%S%M
=RR+
soru 4
2
=2
2
=
@;;'@&;'%J;'#0#!*
=
3
2
=S%M%S
soru 3
D=
E=R+R
=+RR
L+#54C
L+#43C
+L+#<?PC
#!&/-*
%/0$$$0$!!
##!*
=RR+
1–E
2–C
3–A
4–B
D=R+R
5–E
47
=R+R
6–B
E=RR+
=+RR
7–D
8–A
Trigonometri - 1
Sekant ve Kosekant Fonksiyonları:
.
(
&D.
JXK#!'D.X#&
.
.(!/A
/#$D&
D !-*
!
'0//##
&D
&
cscD !-*
!
'
K
y
csca
N#!(
%
P
O
a
seca
x
S
+
S\4;CM'35;C]oS:S3%3=
Do+D
++
S\'35;C]oS:S3%3=
Do++D
+++,##!
:S3%3=
!/&&/
!('
çözüm
kavrama sorusu
J;'/13
y
csc60°= 2
ñ3
60°
2
ñ3
1
P
60°
30°
O
++ ?;n sec60°=2
2
x
<
< 2
2 3
+?;CL<Cevap:
ve 2
2
3
2
çözüm
kavrama sorusu
@>;'!13
y
csc150°=2
30°
2
P
1
60°
150°
30°
O
x
Cevap: 2
++36;CL<
çözüm
kavrama sorusu
L+26C
L+>6C
+L+P;C
y
P70
#!&/-*
%/0$$$0$!!
013
O
35°
P45
P35
b
a
sec35°
c
sec70°
sec45°
x
Z!&&-*
!&/-%
48
+26CR+>6CR+P;C
RR+
Cevap: a<b<c
Trigonometri - 1
soru 1
soru 5
:;'!
=
< 2
2
soru 2
= <
E=
;'!
3
<
2
<
D=
=
=3
2
<
2
=
<
E=
2
<
D=
< 2
2
= <
:;'!
=<
E=3
D=2
=S%S%M
D=M%S%S
soru 7
<
=M%M%S
D=M%M%M
soru 8
E= 3
D= <
=M%M%S
=<
T;'!
=
E=S%M%S
@&'@&,':;;'#0#!*
< 2
=
2
=<2
=M%S%M
soru 4
D=<
=S%S%S
0NO808YAYINLARI
=<<
E=2
&%'@@;'%@:'#0#!*
soru 3
=;
soru 6
,>'!
=
=
2
E=S%M%M
=S%S%S
L++<;C
L++>;C
+L++?;C
#!&/-*
%/0##!*
=+RR
1–A
2–B
3–E
4–C
5–A
49
=RR+
D=R+R
6–D
E=R+R
=+RR
7–B
8–E
Trigonometri - 1
çözüm
kavrama sorusu
@;>'@H@'%@:'/:@,'#-
(sinüs ekseni)
y
013
cot314°
sin105°
cotanjant ekseni
tan213°
cos181°
x (kosinüs ekseni)
tanjant ekseni
3;6C^;%+#353CR;%<32C^;%+#23>CR;
M%S%M%S
Cevap: +, –, +, –
çözüm
kavrama sorusu
LP;C% L?;C +L+#>;C #!&/ -*
% / 0$$$0$!!013
y
b
a
T60
P70
P60
P40
40°
x
c
tan ekseni
Z!&&-*
!&/-%
+#>;CRP;CR?;C
+RR
çözüm
kavrama sorusu
L326C
L6;C
+L+#34;C
Cevap: c<a<b
y
T50
b
P135
#!&/-*
%/0$$$0$!!
013
a
cot
ekseni
P50
c
P190
x
tan ekseni
Z!&&-*
!&/-%
50
326CR6;CR+#34;C
RR+
Cevap: a<b<c
Trigonometri - 1
soru 1
soru 5
HH'@;;'%J;'#0#!*
L3;C% L+#3;C% +L3P;C #!&/ -*
% / 0$$$0$!!##!*
=M%S%S
=M%M%M
D=M%S%M
E=S%M%M
=LR+
=M%M%S
soru 2
@@;' %;;' %H;' # 0
#!*
=S%M%M
D=L+^
soru 6
=M%M%S
D=S%S%M
0NO808YAYINLARI
=S%S%M
D=S%M%M
soru 7
D=S%S%M%S
2–D
E=+RR
=RR+
L36;C%L+#36;C%+L+#2?6C#!&/-*
%/
0$$$0$!!##!*
E=S%S%S%S
=RR+
=S%M%M%S
3–A
=R+R
D=+RR
soru 8
>Q
6Q
2Q
33Q
#
% +# % % +#
2
?
>
2
0#!*
1–E
=RR+
=+RR
E=M%S%S
=M%S%M
=S%S%S%M
E=RR+
L+#26C%L<6C%+L+#<;C#!&/-*
%/0 $$ $0$! ! # #!*
=S%M%S%S
=R+R
D=+RR
soru 4
=RR+
=S%M%S
@>;'%;>':%;'#0#!*
=RR+
E=M%S%S
=S%M%S
E=L+R
LP;C%L+#P;C%+L+#P;C#!&/-*
%/0 $$ $0$! ! # #!*
soru 3
=L+R
4–C
D=+RR
5–B
51
=R+R
6–D
E=RR+
=+RR
7–A
8–C
Trigonometri - 1
çözüm
kavrama sorusu
y
y
P
1
T
P
sina
a
O
tana
T
a
x
& .
(
& D . !)
' 8 / W
D.+&%
D0113
X#X:+#D%D=
x
cosa 1
O
0#0:3%D=
çözüm
kavrama sorusu
y
y
K
P
S
T
C
P
S(sina)
a
O
K(tana)
1
T
a
x
O
C(cosa) 1
T
K
P
S
tana
sina
x
O
cosa C
1
0
!!L3'DSD'+#D
&
.
(
&D.
!)
'D13
<
LDSD'+#D
&
'
Cevap: tanD – sinD.cosD
çözüm
kavrama sorusu
y
K
y
K
1
P
a
N
C
O
P
1
x
1
sina
a
N(cota) C(cosa) O
&
.
(
&D.
!)
'D13
0
!!L
K
x
sina
N
C cosa O
cota
3': +# B = B: +# B =
<
<
+# B B'+# B <
<
Cevap:
52
P
1
cotB sinB .cosB
2
Trigonometri - 1
soru 1
soru 4
y
90°
y
90°
P
P
a
180°
0°
O
a
180°
x
A
270°
0°
B
x
270°
& .
(
& D . !)
' 8 &
.
(
&D.
!)
'#-
#!*
!*#
=:D%+#D=
=+#D
=:+#D%D=
D=:D%+#D=
soru 2
E=:+#D%SD=
=:+#D%D=
y
a
&
.
(
&D.
!)
'W#!*
=:D%+#D=
D=:SD%3=
y
E=:3%D=
=
B'+# B
<
soru 6
90°
C
O
a
A
0°
B
x
&
.
(
&D.
!)
'68$#!*#
=:3%+#D=
y
P
270°
= B'+# B
D=
soru 3
90°
180°
x=1
E=+#DSD
=3M+#D
x
T
=:+#D%D=
=S+#D
D=3S+#D
soru 5
0NO808YAYINLARI
+# B
<
E=
B
<
= <' B'+# B
y
90°
y=1
C
y=1
T
a
180°
0°
180°
x
O
270°
270°
&
.
(
&D.
!)
'#!*
=:+#D%3=
1–B
=:3%+#D=
D=:D%3=
2–C
a
A
0°
B
x
x=1
&
.
(
&D.
!)
'W#!*#
E=:3%D=
=
=:+#D%3=
3–A
+# B B
<
+# B B
E= +# B B
<
+# B ' B
D= B +# B
=
<
4–D
53
=
5–C
6–A
Trigonometri - 1
y
P2
1
P1
JX<K#!.:35;CSD=&
+&
'&X3E3
X<E< .-!
) .-!
#!&/ -*
!&
' &
1
1
a
a
C2(cos(180° a)) O C1(cosa)
&#!%
x
+#:35;CSD=LS+#D&
'
(
)!&)/&.&*)!
$!
('
1
+#:35;CSD=LS+#D
p
+#:35;SD='*!-&
:S=&/
!&/.
+#:35;C+D=LS+#D
p
+#:35;MD='*!-&
:S=&/
!&/.
:35;CSD=LMD
p
:35;SD='*!-&
:M=&/
!&/.
:35;CSD=LSD
p
+#:35;CSD=LS+#D
p
:35;C+D=LSD
p
:35;SD='*!-&
:S=&/
!&/.
:35;C+D=LMD
p
:35;MD='*!-&
:S=&/
!&/.
+#:35;SD='*!-&
:S=&/
!&/.
:35;MD='*!-&
:M=&/
!&/.
+#:35;C+D=LM+#D
p
+#:35;MD='*!-&
:M=&/
!&/.
+:35;CSD=LS+D+:35;CMD=LS+D
++:35;CSD=LM++D++:35;CMD=LS++D
çözüm
kavrama sorusu
@%;'#13
+#:3<;C=L+#:35;CS?;C=#!
,&&!!
'
3
+#:35;CS?;C=LS+#?;CL &
'
;'#13
3P;CL:35;CS3;C=LM3;C
p
3P;C%'*!-&
:M=&/
!&/&
<6;CL:35;CMP;C=LSP;C
p
<6;C%'*!-&
:S=&/
!&/&
Cevap: sin10°, – sin70°
çözüm
kavrama sorusu
@,;'/%:;'#13
3>;CL:35;CS>;C=LS>;C
+#<2;CL+#:35;CM6;C=L+#6;C
Cevap: – tan40°, cot50°
54
Trigonometri - 1
soru 1
soru 5
@J;'##!*
=<;C
=S<;C
D=S+#<;C
soru 2
%;;'##!*
E=+#<;C
=<;C
=?;C
@:;'##!*
=S+#2;C
D=+#6;C
soru 3
E=+#2;C
= =S+#6;C
@@;'##!*
=S3;C
=3;C
D=P;C
soru 4
E=SP;C
1–A
2
<
soru 7
soru 8
@J;'##!*
D=S<;C
2–E
= 3
<
<
<
D=
< 2
2
D=
E= 3
<
=
2
<
= <
E= <
= <
%%>'!
E=<;C
= =S+#?;C
3–C
= <
=S<;C
=+#<;C
=S+#3;;C
%,;'!
=S+#<;C
E=S+#<;C
%@;'!
0NO808YAYINLARI
=+#<;C
D=+#P;C
soru 6
=6;C
4–A
< 2
2
5–C
55
= <
6–B
E= <
D=
7–A
<
=
< 2
2
8–C
Trigonometri - 1
y
O
a
a
+#:2?;CSD='*!-&
:M=&/
!&/.
+:2?;CSD=LM+D
p
+:2?;CSD='*!-&
:M=&/
!&/.
X3X<.-!
).-!
#!&/-*
!&
'
A B
cosa
x
&&#!%
+#:2?;CSD=L+#D&
'
(
)!&)/&.&*)!
$!
('
sina
+#:2?;CSD=LM+#D
p
JX<K#!.:2?;CSD=:SD=&
+&
'&
P1
sina
P2
:2?;CSD=LSD
p
:2?;CSD=LSD
p
:2?;CSD='*!-&
:S=&/
!&/.
:2?;CSD='*!-&
:S=&/
!&/.
+#:2?;CSD=LS+#D
p
+#:2?;CSD='*!-&
:S=&/
!&/.
++:2?;CSD=LS++D
p
++:2?;CSD='*!-&
:S=&/
!&/.
+#:2?;CMD=.&2?;C*!.;C#!&/&+#:2?;CMD=L+#D(
)!&
:2?;CMD=LD%:2?;CMD=LD%+#:2?;CMD=L+#D%+:2?;CMD=L+D++:2?;CMD=L++D&
'
çözüm
kavrama sorusu
:,;'#13
+#:2?;CSD=L+#D#!&/&%
+#2>;CL+#:2?;CS<;C=L+#<;C&
'
Cevap: cos20°
çözüm
kavrama sorusu
%T;'/:&;'#13
:2?;CSD=LSD#!&/&%
<4;CL:2?;CSP;C=LSP;C
+#:2?;CMD=L+#D#!&/&%
+#2P;CL+#:2?;CM3;C=L+#3;C
Cevap: – sin70°, cos10°
çözüm
kavrama sorusu
:;;'/:@>'!13
:2?;CSD=LSD#!&/&%
2;;CL:2?;CS?;C=LS?;CLS2
+#:2?;CSD=LS+#D#!&/&%
+#236CL+#:2?;CS>6C=LS+#>6CLS3
Cevap: – 3, – 1
çözüm
kavrama sorusu
:;;'!13
+:2?;CSD=L+D#!&/&%
+2;;CL+:2?;CS?;C=L+?;CL<
Cevap: 2
56
Trigonometri - 1
soru 1
soru 5
:@;'##!*
=S+#6;C
=+#6;C
D=S6;C
soru 2
:@>'!
E=6;C
=
=+#3;C
:,;'##!*
=<;C
D=+#>;C
soru 3
E=S<;C
=6;C
D=S3;C
soru 4
1–B
2
<
E=3;C
soru 7
2–C
2
E= <
D= 3
=
3
<
=<2
E=<
D=3
=;
=+#3;C
soru 8
2
2
=
=<2
=
= 3
,;>'S,;>'
:;;'!
=
D= <
= < 2
:>;'##!*
< 2
2
=S+#>;C
=S6;C
E=
:T;'S,%;'
0NO808YAYINLARI
= <
<
soru 6
=>;C
E=
:T;'S,%;'
2
D= 2
3–D
= 2
2
=
4–E
> 2
2
5–A
57
=
< 2
2
6–D
E=
2
<
D=
7–C
2
= < 2
8–A
Trigonometri - 1
y
P2
B
P1
JX<K#!.:4;CMD=&
+&
'X3.-!
X<.-).-!
&
'
a
a
O
x
A
&&#!%
+#:4;CMD=LSD&
'
(
)!&)/&.&*)!
$!
('
+#:4;C+D=LSD
p
+#:4;CMD='*!-&
:S=&/
!&/.
+:4;C+D=LS++D
p
+:4;CMD=%'*!-&
:S=&/
!&/.
:4;C+D=LM+#D
p
:4;C+D=LS+#D
p
:4;CMD='*!-&
:M=&/
!&/.
:4;CMD='*!-&
:S=&/
!&/.
+#:4;C+D=LSD
p
+#:4;CMD='*!-&
:S=&/
!&/.
++:4;C+D=LM+D
p
++:4;CMD='*!-&
:M=&/
!&/.
4;C!.!
!!-!& *+,3?&!-!
(-*
%
:4;CSD=L+#D%+#:4;CSD=LD%:4;CSD=L+#D%+#:4;CSD=LD%+:4;CSD=L++D++:4;CSD=L+D&
'
Uyarı
.!
:4;_D=#!
,&/(&
-##
,##o+#%+#o%o+#%+#o%+o++%
++o+#!
&/)/&&('
çözüm
kavrama sorusu
@&;'#13
:4;CMD=L+#D#!&/&%
3P;CL:4;CM5;C=L+#5;C&
'
Cevap: cos80°
çözüm
kavrama sorusu
@;;'#13
+#:4;CMD=LSD#!&/&%
+#3;;CL+#:4;CM3;C=LS3;C&
'
Cevap: – sin10°
çözüm
kavrama sorusu
@>;'S@:>'13
:4;CMD=LS+#D#!&/&%
36;CL:4;CM?;C=LS+#?;CL 3
2
+#:4;CMD=LSD#!&/&%
+#326CL+#:4;CM>6C=LS>6CLS3
3
S3&
'
36;CM+#326CL 2
58
Cevap: 1
1
3
Trigonometri - 1
soru 1
soru 5
@@;'##!*
=3;C
=+#3;C
D=+#<;C
soru 2
@%>'##!*
E=<;C
=<6C
=S3;C
@&;'##!*
=S+#5;C
D=+#5;C
soru 3
E=5;C
@%;'S@>;'
=2
E=;
D=S2
soru 7
=S<2
T>'##!*
1–D
D=+#6C
2–A
=++36C
=+36C
D=S+36C
soru 8
=S+#6C
E=++66C
=+>6C
@;>'##!*
=S6C
=S+66C
D=+66C
soru 4
=S26C
=S++66C
=P;C
=<2
E=26C
@,>'##!*
0NO808YAYINLARI
=+#26C
D=S+#26C
soru 6
=S5;C
E=S++36C
=+6C
@:>'S@:>'
E=6C
=S<
=S3
E=;
D=3
=<
=36C
3–C
4–B
5–E
59
6–A
7–B
8–A
Trigonometri - 1
y
P1
JX<K#!.:<P;CSD=&
+&
'
JX2K
a
O
aa
P2
+#:<P;CSD=LSD
p
+#:<P;CSD='*!-&
:S=&/
!&/.
:<P;CSD=LM+#D
p
:<P;CSD=%'*!-&
:M=&/
!&/.
+:<P;CSD=LS++D
B
x
A
#! . :<P;CMD= &
+&
' X3 .- ! X< .- X2.-!
).-!
&
'
&&#!)/&)!!
(!!
'
P3
+#:<P;C+D=LMD
p
:<P;CSD=LS+#D
p
+#:<P;CMD='*!-&
:M=&/
!&/.
:<P;CSD='*!-&
:S=&/
!&/.
+#:<P;CSD=LMD
p
:<P;C+D=LS+#D
p
:<P;C+D=LS+#D
p
:<P;CMD='*!-&
:S=&/
!&/.
+:<P;C+D=LM++D
+#:<P;CSD='*!-&
:M=&/
!&/.
:<P;CMD='*!-&
:S=&/
!&/.
+#:<P;C+D=LSD
p
++:<P;CSD=LS+D
+#:<P;CMD='*!-&
:S=&/
!&/.
++:<P;C+D=LS+D
Uyarı
.!
:<P;C_D=#!
,&/(&
-##
,##o+#%+#o%o+#%+#o%+o++%
++o+#!
&/)/&&('
çözüm
kavrama sorusu
%>;'/%;;'#13
:<P;CSD=LS+#D#!&/&%
<6;CL:<P;CS<;C=LS+#<;C
+#:<P;CSD=LSD#!&/&%
+#<;;CL+#:<P;CSP;C=LSP;C
Cevap: – cos20°, – sin70°
çözüm
kavrama sorusu
%T;'/:@;'#13
:<P;CMD=LS+#D#!&/&%
<4;CL:<P;CM<;C=LS+#<;C
+#:<P;CMD=LD#!&/&%
+#23;CL+#:<P;CM>;C=L>;C
Cevap: – cos20°, sin40°
çözüm
kavrama sorusu
%,;'/:;;'#13
:<P;CSD=L+#D#!&/&%
<>;CL:<P;CS2;C=L+#2;CL2
+#:<P;CMD=LSD#!&/&%
+#2;;CL+#:<P;CM2;C=LS2;CL 60
3
2
Cevap:
3,
1
3
Trigonometri - 1
soru 1
soru 5
%:;'##!*
=+#2;C
soru 2
:;>'##!*
=+#>;C
D=>;C
E=S+#>;C
=6C
=S>;C
%J;'##!*
=+#3;C
D=S3;C
soru 3
E=3;C
3 2
<
=
D=
soru 4
3 2
<
3 2
<
1–C
=S<6C
2–D
=S++6C
D=+6C
soru 8
D=S+#<6C
E=+5;C
=++6;C
E=S+6C
=+?6C
= 3
%,>'##!*
soru 7
=++6C
=>6C
=S++5;C
D=S+5;C
%J>'##!*
E=
2
=26C
=++5;C
=+#?;C
:;;'S:;;'
=
E=S+#26C
:>;'##!*
0NO808YAYINLARI
=+#26C
D=S26C
soru 6
=S+#3;C
%,;'!
E=<6C
=3
=S2
E=S3
D=S<
=S<2
=+#<6C
3–B
4–E
5–D
61
6–A
7–C
8–D
Trigonometri - 1
çözüm
kavrama sorusu
%,;'!13
<>;CL:35;CM?;C=LS?;CL 2
<
<>;CL:<P;CS2;C=LS+#2;CL 2
<
Y*(&-*
!&/-%
<>;CL:35;CM?;C=L:<P;CS2;C=&
'
Cevap: 3
2
çözüm
kavrama sorusu
@@,;'!13
33>;C*!.!(-
'
33>;C2?;C
S3;5;C2 ?;C
*!.
33>;CL?;CL2
Cevap: 3
çözüm
kavrama sorusu
H&;'!13
5P;C*!.!(-
'
5P;C2?;C
SP<;C< 36;C
*!.
+#5P;CL+#36;CL+#:4;CM?;C=LS?;LS2
Cevap: – 3
çözüm
kavrama sorusu
<2;CL:35;CM6;C=LS6;C
%:;' %T;'
#13
@:;' %>;'
+#<4;CL+#:2?;CSP;C=L+#P;C
32;CL:35;CS6;C=L6;C
+#<6;CL+#:35;CMP;C=LS+#P;C
<2;C +#<4;C 6;n +# P;n
=
32;C +#<6;C
6;n +# P;n
62
: 6;n +# P;n=
: 6;n +# P;n=
3
Cevap: – 1
Trigonometri - 1
soru 1
soru 5
:@;'##!*
=S>;C
=>;C
D=3;C
soru 2
&>;'SH,;'
E=S+#6;C
=<
=3
soru 6
=P;C
=SP;C
D=S+#P;C
E=+#P;C
= =3;C
0NO808YAYINLARI
=S3;C
D=S+#3;C
soru 4
2
3?
= 1–B
soru 7
soru 8
3
2
2–A
2
2
E= =
2
<
< 2
2
=S3
E=3
D=<
=<
=+#3;C
=
2
>
=S<
E=3;C
,;>'
,%;'
= 3
=S<
>;;'3J;;'
%%;'3%,;'
,J;'##!*
=?;C
D=S3
@>;'3%,;'
,%;'3@@,;'
D=
soru 3
E=;
=+#3;C
@@;'##!*
E=
2
&,;' S @@;' S &J>'
:&;' S @T;' S @@%>'
D=
3–E
3
<
=S<
= <
4–C
5–C
63
=S3
E=;
6–A
D=3
7–B
=<
8–D
Trigonometri - 1
'Q
¬
B B .& (!&/&
D
+ #!
&/( . &*)!
& +& .!
. & -.
!&
' .
2
®
-##
,##&/)
%:S_=.&(!&/&
-##
,##!
'8)
)
!,###*!-&!&/&/
-*
!
!
'
#!(
%
k'#!(
%
Q
¬
' B B B +# B%
2
®
Q
¬
+# ' B B B B
2
®
:S_D=L_D
+#:S_D=L_+#D
Q
¬
' B B B +# B%
2
®
Q
¬
+# ' B B B B
2
®
:S_D=L_D
cot:S_D=L_+#D
Q
¬
+ ' B B B ++ B%
2
®
Q
¬
++ ' B B B + B
2
®
+:S_D=L_+D
++:S_D=L_++D
çözüm
kavrama sorusu
5Q ¬

Q¬
Q
1
Q &%

4 ®
4®
4
2
5Q ¬
sin #13
4 ®
5Q ¬
3Q Q ¬
Q
1
+# 4 ®
2
4®
4
2
Cevap: 1
2
çözüm
kavrama sorusu
3Q
¬
Q
¬
B /Q%SD
sin B , cos(S+D),
2
2
®
®
#13
Q
¬
B +# B
2
®
+# Q B +# B
3Q
¬
B +# B
2
®
cot 2Q B cot B
Cevap: cosD, – cosD, cotD, – cotD
çözüm
kavrama sorusu
15Q
¬
B /QTS+D
#13
cos
2
®
15Q
*!.!!'
2
Q
Q 3Q
15Q 14Q Q
7Q 6Q Q 2
2
2
2
2
15Q
¬
3Q
¬
B +# B B
+#
2
®
2
®
9S*!.!!'
9Q 8Q Q Q
:4S+D=L:S+D=LD
Cevap: – sinD, tanD
64
Trigonometri - 1
soru 1
soru 5
Q Q¬
cos !
2 3 ®
Q
¬
tan B ##!* 2
®
3
= <
2
= <
<
E= <
3
D=
<
soru 2
Q
¬
= +# B
E= +#:Q B =
<
®
Q
¬
2Q
¬
D= B
= +# B
<
®
<
®
= :Q B =
2
=
<
soru 6

Q¬
sin2Q !

4®
3
<
= D=
soru 3
sin(10S+D
##!*
<
<
E= 2
<
=
=D
2
<
3
<
=SD
D=S+#D
E=+#D
=+#<D
0NO808YAYINLARI
= soru 7
sin(S+D
##!*
13Q
¬
B ##!*
cot
2
®
=D
=<D
=D
D=SD
soru 4
E=+#D
=S+#D
1–B
B
<
D=SD
E=+#D
=D
soru 8
3Q
¬
B + cos Q B
sin
2
®
9Q
¬
B
cos 20Q B
+ sin
2
®
3Q
¬
B ##!*
cos
2
®
= =S+#D
= +# B
D= +# B
2–B
E= B
=S3
= B
3–D
4–E
5–C
65
=3
E=D
6–A
D=+#D
7–E
=SD
8–A
Trigonometri - 1
,
,###!(
%,:SA=LS,:A=)
/!,##!
tek fonksiyon&
-
,!
#
U-*
'
,:SA=L,:A=)
/!,##!
.,,##&
-
,!
-*
'
# ,##!
,:SA=L,:A= )
/!&/& ., ,##!
&
' D #
*!!
& -
,!
+!&/& -
,!
-*
#!&!
-*
!+
' % U% #U # ,##!
,##!
&
'
+#:SD=L+#D
:SD=LSD
+#:SD=LS+#D
+:SD=L+D
:SD=LSD
++:SD=LS++D
çözüm
kavrama sorusu
+#:S?;C=
+#,##.,,###!&/&%
!13
+#:SD=L+#D&
'
+#:S?;C=L+#?;CL
1
&
'
2
Cevap:
1
2
çözüm
kavrama sorusu
,##,###!&/&%
2Q ¬
sin
3 ®
:SD=LSD&
'
2Q ¬
2Q
sin sin
3 ®
3
!13
sin
2S
3
L3<;CL:35;CS?;C=L?;CL
3
2
2Q ¬
2Q
3
sin sin
3 ®
3
2
Cevap: 3
2
çözüm
kavrama sorusu
+#.,,###!&/&%
: ='+#: =
: ='+#: =
+#:S=L+#:S=
,###!&/&%
!13
:S=LS:S=
: ='+#: = : ='+#: =
1
: ='+#: =
: ='+#: =
Cevap: – 1
66
Trigonometri - 1
soru 1
soru 5
Q¬
+
4 ®
:S2;C=
!#!*
= 1
2
= 2
2
3
2
E= D=
1
2
!
=
=S<
3
2
soru 2
1
2
E=
1
2
D=
2
2
=
!#!*
= 2
E=
2
D= 3
= 3
3
2
0NO808YAYINLARI
= 3Q ¬

4 ®
=
E= ;
D=
1
2
= 3
3Q
¬
B ':B <Q=
2
®

3Q ¬
B ':<Q B =

2®
=3
E=;
D=S3
=S<
D=S<
=S3
soru 8
D+EL2?;C#!(
%
+#:S<3;C=
2?;q E '+#: E=
2?;q D '+#:D 2?;q=
!#!*
= 1
3
E= 2
D=
2
=
1
3
#
=3
1–A
1
2
3
3
soru 4
= 3
= soru 7
=<
=<
soru 3
= 3
D=<
: 36q='+#:P;q='+#: 3;q=
:36q='+#: P;q='+#:3;q=
!#!*
3
2
E=S3
soru 6
Q¬
+#
? ®
= =S<
2–E
3–D
4–C
=;
5–D
67
E=<
6–E
7–B
8–A
Trigonometri - 1
çözüm
kavrama sorusu
#!*>;'0#!
' +#23;CL+#:2?;CS6;C=L+#6;C
' +#23;C
' 3>;CL:4;CM6;C=L+#6;C
' 3>;C
' +#:S6;C=L+#6;C:.,,##=
' +#:S6;C=
' S+#<2;CLS+#:35;CM6;C=LS:S+#6;C=L+#6;C
' S+#<2;C
' 2<;CL:<P;CM6;C=LS+#6;C
' 2<;C
2<;C,&+#6;C)&/!&
'
Cevap: sin320°
çözüm
kavrama sorusu
: 36;q='+#: 326q=
: 236q='+#: <>;q=
:S36;C=LS36;CLS:35;CS2;C=LS2;CLS
1
2
1
2
:S236C=LS236CLS:2?;CS>6C=LS:S>6C=L>6L3
1
+#:S<>;C=LS+#<>;CLS+#:35;CM?;C=LS+#?;CL 3
+#:S326C=L+#326CL+#:35;CS>6C=LS+#>6CLS
!13
1 1 ¬
1

'
2
:36;n='+#:326n=
2 ®
2
2 2 ?
1
1
:236='+#:<>;n=
>
2 2
3':
=
3
3
Cevap:
6
4
çözüm
kavrama sorusu
y
y
cos( q)
x
O q
O q
sin(q)
P
8 #! * !
x
P(cos( q),sin( q))
+#:ST=L+#T:ST=LST#!&/&%
X:+#T%ST=&
'
' X:+#T%ST=
' X:+#T%ST=##
&!
&
'
' X:+#:ST=%:ST==
' X:+#:ST=%:ST==LX:+#T%ST=
' X:+#:<SST=%:S+T==
' X:+#:<SST=%:S+T==LX:+#T%ST=
' X:+#:SST=%:SST==
' X:+#:SST=%:SST==LX:S+#T%T=
X###
&!
&/!&
'
Cevap: P(cos(S – T), sin(S – T))
68
Trigonometri - 1
soru 1
soru 6
#!*@;'0#!
y
90°
P
8
=3P;C
=S26;C
E=+#5;C
180°
#!
D=+#<5;C=:S3;C=
a
0°
O
x
*!
270°
= : +# B% B =
= :+# B% :B ==

Q
¬¬
D= +#:Q B =% +# B
2

®®
E= : +#:B =% B =
soru 2
3Q
¬
¬
= B % :Q B =
®
2
®
#!*%;'0#
=S+#2>;C
=<4;C
E=<6;C
D=+#:S<;C==+#:3?;C=
soru 7
soru 3
y
90°
8
=:S>;C=
=3>;C
D=+#23;C=+#6;C
E=+#32;C
0NO808YAYINLARI
#!*:%;'0#!
180°
#!
0°
O
a
x
*
P
270°
3Q
Q
¬
3Q
¬¬
¬
Q
¬¬
= B % +# B = B % +# B

2
®
2
®®

®

®®
2
2

E= :+#:Q B =% :Q B ==
D= :+#:B =% :B ==
= : +# B% B =
soru 4
: 3<;q='+#: 36;q=
: 326q=
#
soru 8
= 3
4
= 3
2
E= 3
4
D=
3
2
=
3
4
y
90°
8
180°
#!
0°
O
x
a
*!
P
270°
soru 5
= : B% +# B =

Q
¬
3Q
¬¬
E= +# B % B
2
®
2
®®

:S<3;C=M+#:S?;C=
= < 2
1–E
= 2 3
3
2–D
E= <
3–E
D= ;
= ::B =% +# B =
D= ::Q B =% +#:Q B ==

Q
¬
3Q
¬¬
= +# B % B
2

2
®
®®
= <
4–E
5–B
69
6–B
7–E
8–A
Trigonometri - 1
D
.!
-##
#
!
&
!&/&&/
#
!
!& *+*/
)'.&
.#!
&&/
-##
&/
!
!.&.-.(!
%.!&/*!-&!
)
$!
$!
'
çözüm
kavrama sorusu
D.&
.-&)!$
&.-.(('
4;CRDR35;C#!(
%
sin D
A
3
6
o!&/-*
%D, tanD/D!13
5
a
B
4
% D
6
+# D
3
4
3
+# D
>
C
4
2
+D.'*!-&#!&/&%
y
90°
cosa<0
tana<0
cota<0
180°
0°
O
x
270°
4
% D
6
+# D
3
+# D
>
4
'
2
4
3
4
Cevap: % % 5
4
3
çözüm
kavrama sorusu
35;CRDR<P;C#!(
%
+# D
D . &
. - &)!$ &
.-.(('
A
6
13
ol&/-*
%sinD, tanD/D!13
13
12
D
3<
% D
32
3<
+# D
6
6
3<
a
5
B
C
+D.'*!-&#!&/&%
y
90°
180°
sina<0
tana>0
cota>0
D
70
3<
% D
32
0°
O
x
270°
3<
+# D
6
6
3<
Cevap: 12 12 5
%
%
13 5 12
Trigonometri - 1
soru 1
soru 5
SRDR
4;CRDR35;C#!(
%
sin D
1
6
#!&/-*
%D!
=
2
6
=
1
6
E=
1
2
3S
#!(
%
2
3
sin D 6
#!&/-*
% tanDSD
D= 2
6
= 1
3
= soru 2
1
2
= 1
6
E= 1
<;
D=
1
<;
=
31
<;
=
<
soru 6
S
RDRS#!(
%
2
2
D 3
SRDR
3S
#!(
%
2
DL2
#!&/-*
% sinDSD!
#!&/-*
% sinD!
2
13
=
E=
1
13
D= 1
13
2
= 13
soru 3
4;CRDR35;C#!(
%
=
0NO808YAYINLARI
=
3
13
< 3;
6
= E= <
<
<
D=
<
<
soru 7
<P;CRDR2?;C#!(
%
+#DLS<2
sin D
#!&/-*
% sinD3D
5
3P
#!&/-*
% tanD!
= 2 2
4
= 2 2
2
E= 2
2
D=
2
<
=
2 3
2
= soru 4
+# D
1–D
36
5
E= 3P
5
D=
5
36
=
36
5
3S
RDR<S#!(
%
2
1
+# D 2
P
<6
%
= <>
P
2–B
E=
P
<>
D=
3–A
%
#!&/-*
% sin D D
#!&/-*
% tanD!
P
<>
= soru 8
35;CRDR<P;C#!(
%
= 5
36
<6
P
=
<>
P
= 4–E
3
6
5–C
71
= 1
6
6–A
E=
1
6
D=
7– A
3
6
=
4
6
8– D
Trigonometri - 1
çözüm
kavrama sorusu
;RDR
Q
¬
B +# B #!&/&%
2
®
S
#!(
%
2
4
+#DL
6
Q
¬ 4
B &
'
<
® 6
S
¬
#!&/-*
% sin + D 13
%
®
4
5
Cevap:
çözüm
kavrama sorusu
A
S
RDRS#!(
%
2
DLS<
:S+D=LSD
DLS<#!&/&%
2
sin D
6
#!&/-*
%sin(S+D
13
ñ5
2
a
B
C
1
y
90°
sina>0
180°
D . ' *!-& #!&/&%
sin D
0°
O
x
:S+D=LSDL 2
5
çözüm
kavrama sorusu
2
6
Cevap: 270°
SRDR
2
6
3S
#!(
%
2
6
+#DL 13
A
+# D
D
:Q
¬
#!&/ -*
% sin(Q + B )+ tan B %
®
13
13
6
13
3<
% D
32
3<
+# D
6
6
3<
12
a
B
5
C
+%D.'*!-&#!&/&%
y
90°
180°
sina<0
tana>0
cota>0
0°
O
270°
3<
3<
6
% B +# B 32
6
3<
12 ¬ 12
:Q B = B 13 ® 13
2Q
¬
6
B +# B 2
®
12
2Q
¬ 3<
6
<;4
:Q B = B <
® 32 3< 36?
B x
Cevap:
72
209
156
Trigonometri - 1
soru 1
soru 5
;CRDR4;C#!(
%
4;CRDR35;C#!(
%
1
2
sin D
+# D
#!&/-*
%QSD
24
<6
#!&/-*
%QS+D
3QSD
3
= 2
2
= 2
1
E= 2
1
D=
2
3
=
2
= soru 2
sin D
:S
¬
old/-*
% sin
D %
®
= 1
2
E=
1
2
D=
2
2
3
2
=
soru 3
;CRDR
S
#!(
%
2
3
+# D
6
S
¬
#!&/-*
% tan + D %
®
= >
3
= 2
4
E=
2
4
D=
>
3
=
6
4
= <>
<6
4
6
4
2
=
3
>
E= 4
2
D= 3
>
= 3
6
soru 7
3S
#!(
%
2
+#DL3
S
¬
#!&/-*
% S D 3: %S D = %
®
SRDR
3
2
= 1
2
E=
2
2
D=
3
2
=
3
2
<P;CRDR2?;C#!(
%
1
2
:S
¬
S
¬
#!&/-*
% D S D %
®
2
®
sin D
#!&/-*
% sin(SD
=
< 6
6
E=
6
6
D= 6
6
= < 6
6
=
1–A
<6
<>
D= soru 8
S
RDRS#!(
%
2
DLS<
2 6
6
=
= soru 4
=
P
<>
:S
¬
#!&/-*
% S D %
®
0NO808YAYINLARI
3
2
E= 35;CRDR<P;C#!(
%
DL3
= <>
P
= soru 6
;CRDR4;C#!(
%
P
<6
2–B
3–B
4–B
2 3
3
5–E
73
=
3
3
E=
6–C
3
2
D= 3
2
7–D
= 2 3
3
8–E
Trigonometri - 1
çözüm
kavrama sorusu
D
3
2
DL
3
#!&/&%
2
A
%
#!&/-*
%sin DSD13
ò13
3
a
2
B
3
D
13
D
+#DL
C
3
13
2
WDQMDQW LOH D\QÜ EÐOJHOHUGH D\QÜ LíDUHWH VDKLS ROGXðXQGDQ
3
SR]LWLIGLU
2 ¬2 <
4
< 62
2 B +# B
13 ®
2 32 2 24
Cevap:
çözüm
kavrama sorusu
53
39
AL
:2?;CSA=LSALS
#!&/ -*
% Q:J;'9
SQ%&;'9
!13
+#:<P;CSA=LSALS
:2?;CSA=M+#:<P;CSA=LSM:S=LS<
Cevap: –2a
çözüm
kavrama sorusu
:34PC=L:35;CM3PC=L3PCL
3PCL
Q@T&'
Q:,:'
#!&/-*
%
Q%>:'
S@
:2>2C=L:2?;CS3PC=LS3PCLS
+#:<62C=L+#:<P;CS3PC=L3PCL
d!13
34Pq 2>2q
+# <62q 3
: =
3
<
3
Cevap:
74
2a
a +1
Trigonometri - 1
soru 1
soru 5
AL<
AL
%
%
:S
¬
o!&/-*
% Q S S 9
S 9 %
®
#!&/-*
% sin 9 9
=
>
6
=
2
6
E=
<
6
3
6
D=
sind!#!*
6
6
=
=S<
soru 2
4
3
%
#!&/-*
%9S 9
=
3>3
3;;
E=
324
3;;
D=
322
3;;
=
3<4
3;;
soru 3
E=
1
<
D=
1
>
E=
D=3
=<
<6CL
#!&/ -*
%
=
1
5
soru 4
=
E=;
D=S3
=S<
soru 8
+#AL
#!&/-*
%
!#!*
=
2–C
E=
a
2
D=;
3–C
+#22CL
% >&' @
%@:' @,&'
!#!*
S
¬
#!&/-*
% Q S 9
S 9 %
®
1–B
=<
soru 7
=<
=<
Q%S 9
S Q S 9
\
:S
¬
S 9
%
®
%;>' S ::>'
J>'
!#!*
%
= 3
=S<
#!&/-*
%D D
=
!#!*
DL3
= <
D=;
AL
ol&/-*
%
0NO808YAYINLARI
3>2
3;;
a
2
soru 6
+# A
=
E= =S
=S
=
4–D
1
a 1
5–A
75
=
%
a
2
E=
6–E
a 1
a
D=
a 1
a
7–E
=
a 1
a 1
8–D
Trigonometri - 1
Trigonometrik Özdeşlikler
y
&
.
(
&-*
!D.#
X##
&!
X:+#D%D=&
'
P (cosa, sina)
2
2
.
&!A +y L3#!&/&%
O
2
a
2
x
2
2
2
2
+# D+sin DL3
2
&
'
2
+# D+sin DL3)!/&%+# DL3S D DL3S+# D)!!
(!!
'
D.-&
.U#U.%
DL
)&
(!/
#)&
(!/
% +#DL
#)&
(!/
)&
(!/
)!!
!)'
Karþý dik kenar uzunluðu
Hipotenüs uzunluðu
Karþý dik kenar uzunluðu
sina
=
tana=
=
yazýlabilir.
Komþu dik kenar uzunluðu cosa
Komþu dik kenar uzunluðu
Hipotenüs uzunluðu
+# D
sin D
(
.&% +# D
D'+# D
D
D +# D
'
+# D D
1
+# D
+# D
sin B
+# B
&
'
3 D'+#DL3 &
'
1
&)!!&&!
'
D
çözüm
kavrama sorusu
B 2
2
2
L3S ?>CL+# ?>C
L3S ?>C
2
2
L3S+# ?>C
2
L3S+# ?>CL ?>C
2
#!&/-*
%S13
2
ML+# ?>CM ?>CL3&
'
Cevap: 1
çözüm
kavrama sorusu
2
2
sin 3PCM P2C
P2CL+#3PC:0!
.!
#!&/&=
2
13
2
2
2
sin 3PCM P2CL 3PCM+# 3PCL3
Cevap: 1
çözüm
kavrama sorusu
2
2
sin DME'+#EM+# D
2
2
2
sin DME'+#EM+# DL D +#2
D E
'+#
E
13
1
1
L3M3L<
Cevap: 2
76
Trigonometri - 1
soru 1
soru 5
#!*@#!
2
2
= M+# 2
2
E= ?CM+# ?C
2
2
#!#*0#
1
+# 6;q
E=A'+#AL3
2
= ?2CM+# ?2C
D= P;CM <;C
2
2
2
= >;CM+# 6;C
Q
¬
= B ' B 3
2
®
D=+#A'AL+#A
=>;CL
=A'+#ALA
soru 2
soru 6
%
#!* 9#
#!#*0#
2
2
= 3;CL3S+# 3;C
2
2
E= <;CL3M+# <;C
2
2
=+# S3LS a
D=S3M ALS+# A
2
2
2
2
= A' A
=:3SA=:3MA=
E=+# A' A
2
2
2
D=3S A= A'+# A
2
2
2
soru 3
%
#!* ,;'0#!
2
2
0NO808YAYINLARI
=:3SA=':3MA=L+# A
2
=3S+# >;C
=3S 6;C
E=3S+# :3>;C=
2
2
D=3S >;C=3S :32;C=
soru 7
#!#*!
=66CL
2
1
+# <6q
2
E=+# 6CS3L 6C
2
2
2
= <6CL3S+# ?6C
D= 3;q'
1
34;q
3
2
= 353CM+# 43CL3
soru 4
soru 8
#!*@#!
=A'+#A
D=
1–E
=3;C'5;C
#!#*0#
E=
<6q
+# ?6q
2
3–D
2
2
2
=3M+# AL AM<+# A
2
6q
=+#'+#:4;CS=
+# 6q
2–C
2
= >AS3LS+# >A
E=><CM3L<S+# 25
D=36C'+#346CL3
1
=+#6;CL
6;q
4–D
5–A
77
6–E
7–D
8–C
Trigonometri - 1
#,##!
& *+
.
&!!)',##!
#,##!
!#!/!
)/&-,&&!
('
+ D
1
+# D
++ D
1
sin D
çözüm
kavrama sorusu
+?;C
1
+# ?;q
+ ?;q
!13
1
1
2
<
Cevap: 2
çözüm
kavrama sorusu
++<>;C
++ <>;q
!13
1
<>;q
1
:35;q ?;q=
1
?;q
1
3
2
2
3
2 3
2
Cevap: çözüm
kavrama sorusu
2 3
3
A'++A
A'++ A
13
A
1
'
+# A A
1
+# A
+ A
Cevap: secx
çözüm
kavrama sorusu
+# A
++ A
+# A
++ A
#13
+# A
A
1
A
+# A A
'
1
A
+# A
Cevap: cosx
78
Trigonometri - 1
soru 1
soru 5
+2;C
+#A'+A
!
=
2 3
3
=
3
3
##!*
E=
3
2
D= <
=
1
2
=A
soru 2
2 3
3
E=
3
3
D= 2 3
3
3
3
= =++A
0NO808YAYINLARI
=
soru 3
!
=S<
=S3
E=;
D=3
=+A
E=+#A
D=A
=+#A
soru 7
=3
=<
soru 4
=
1
2
E=A
D=+#A
=A
soru 8
++
11S
?
2
2
+ 6;CS 6;C
##!*
!
1–A
=++A
1
1
+2 A +# + 2 A
##!*
+35;C
=<
D=+A
A
+ A
##!*
!
3
2
E=A
soru 6
++3<;C
=
=+#A
=3
2–B
1
E= 2
D=S3
3–B
=S3
=S<
4–E
5–E
79
=;
E=3
6–D
D=A
7–A
=++A
8–C
Trigonometri - 1
çözüm
kavrama sorusu
1
M':4;CS=
+ 2 ifadesi!13
1
+ 2 2
sin a+
1
1
+#2 +#2 :4;CS=L+#
2
sin a+
1
2
M':4;CS=L +#2
'+#
+ 2 1
1
L3M3L<
Cevap: 2
çözüm
kavrama sorusu
2
3M A
3 2 A
#13
3
2 A
+#2 A
+#2 A 2 A
+#2 A
3
+#2 A
+ 2 A
2
Cevap: sec x
çözüm
kavrama sorusu
:AS+A=':AM+A=
A
3 ¬ A
3 ¬
'

:AS+A=':AM+A=L
+# A +# A ® +# A +# A ®
#13
A 3 A 3
'
+# A
+# A
+#2 A
+#2 A
2 A 3
+#2 A
1
Cevap: –1
çözüm
kavrama sorusu
A
++ A +# A
A
++ A +# A
#13
A
3
+# A
A A
A
2 A
3 +#2 A
3 +# A 3 +# A 3 +# A
A
:3 +# A= :3 +# A=
3 +# A
:3 +# A=
Cevap: 1+cosx
80
Trigonometri - 1
soru 1
soru 5
1
1
+ 2 A
1
1
3 2 A 3 +# 2 A
ifad##!*
2
= A
2
=++ A
2
E=+ A
ifad##!*
2
D= A
2
=3
=+# A
soru 2
E=3
D=+#A
2
=A
=++ A
0NO808YAYINLARI
=+#A
soru 3
2
3M+# A
2
2
=++ A
2
E=+ A
D= A
2
2
E= A
2
D=S A
2
=S+# A
2
2
:3S+ A='+# A
=A
=+# A
=<
E=3
D=S3
=S<
soru 8
3 2 A 3 +#2 A
3 ++ 2 A 3 + 2 A
ifad##!*
3 2 A
3 +# 2 A
ifad##!*
1–D
2
=+# A
##!*
soru 4
2
2
=+# A
soru 7
##!*
= A
D=<+#A
3 +# 2 A
3 2 A
ifad##!*
ifad##!*
=3
E=<A
soru 6
A +# A
++ A + A
=A
=<
2
=+# A
2–C
2
2
E=+ A
D=++ A
3–B
2
=<
= A
4–A
5–A
81
=3
E=S3
6–E
D=<A
7–D
=<+#A
8–C
Trigonometri - 1
çözüm
kavrama sorusu
A
3 +# A
3 +# A
A
A
3 +# A
3 +# A
A
A:3 +# A= 3 +# A
A
3 +#2 A
:3 +# A=
A :3 +# A=
#13
2 A
2
A
3 +# A
A
3 +# A 3 +# A
A
< ++ A
Cevap: 2cscx
çözüm
kavrama sorusu
3
2 A ¬

2 A
2
2
+ A A A +# A +# A ®
+#2 A
+#2 A
2
2
3 A
+# A
2 A
2 A
2
2
+#
A
+#
A
+#2 A
+#2 A
2
2
3 A +# A
1
+#2 A
+#2 A
+ 2 A 2 A 2 A
+#2 A
2
#13
2
2
Cevap: 1
çözüm
kavrama sorusu
1
4 A +#4 A :2 A +#2 A=':2 A +#2 A=
3 < +#2 A
3 < +#2 A
2
2
2
A +# A 3 +# A +#2 A
3 < +#2 A
3 < +#2 A
2
3 < +# A
1
3 < +#2 A
4 A +#4 A
3 < +#2 A
#13
Cevap: 1
çözüm
kavrama sorusu
:+# A A=2
+# A
< A
:+# A A=2
+#2 A < +# A' A 2 A
+# A
+# A
< A
< A
1
+#2 A 2 A < +# A' A
+# A
< A
3 < +# A' A
+# A
< A
3 < +# A' A < A'+# A
1
< A
< A
#13
Cevap:
82
1
2sinx
Trigonometri - 1
soru 1
soru 5
2 A
+#2 A
3 +# A 3 A
++ 2 D ifad##!*
=+#ASA
=+#AMA
1
2 D
ifad##!*
E=AS+#A
=D
=+#D
E=3
D=+D
=++D
D=<A=<+#A
soru 2
soru 6
2
2
+# A 3 A 3
+ 2 A 3 ++ 2 A 3
4 A +#4 A
< 2 A 3
ifad##!*
ifad##!*
=3
E=S3
D=S<
=S+#A
=A
=+#A
E=A
D=3
=S3
0NO808YAYINLARI
=<
soru 3
soru 7
: D +# D =2
< +# D
sin D
2
sinT+# TST
##!*
3
=S T
3
= T
2
E= T
2
D=S T
ifad##!*
=T+#T
=+D
soru 4
D=+#D
=3
+#4 A < +#2 A 3
3 +#2 A
1 sin D
D'+# D
ifad##!*
1–A
E=D
soru 8
2
=+#D
=++D
=D
2–C
E=3
2
D=+# D
3–A
ifad##!*
2
= D
=A
4–D
5–C
83
2
= A
2
E=+# A
6–D
2
D=+ A
7–B
2
=++ A
8–B
Trigonometri - 1
çözüm
kavrama sorusu
1
+# A
A
2
A
3
+# A
<
A
A
+# A
<
3
AL<&
'
#!&/-*
%913
ñ5
2
+# A
1
6
x
B
Cevap:
1
5
çözüm
kavrama sorusu
D +# D
D +# D
C
1
D +# D
D +# D
3
2
#!&/-*
% tanD13
3
2
3sinDM2+#DLDS+#D
2sinDLS>+#D
sin D
+# D
4
<
DLS<&
'
Cevap: –2
çözüm
kavrama sorusu
6AL
S
2
#!&/-*
%
<A +# 2A ½
¾ 2A <A
2A +# <A ¿
%93:9
#13
:93%9
<A' 2A
+# 2A'+# <A
6A
S
<
<A' 2A
s<A' 2A
1
Cevap: 1
çözüm
kavrama sorusu
?ALS
AM6ALS
93,9
#!&/-*
%
#13
>93%9
6ALSSA
6AL:SSA=
6ALA&
'
>AM<ALS
>ALSS<A
>AL:SS<A=
>ALS<A&
'
A' >A
6A'<A
A': <A =
si A' 2A
1
Cevap: –1
84
Trigonometri - 1
soru 1
soru 5
6
+# A
3<
A
#!&/-*
%9
=
6
3<
=
6
32
S
2
>A
#!&/ -*
%
E=
3<
32
D=
32
3<
=
*
3<
6
=2
soru 2
=<
6
6
=
E=
<
<
D=
3
<
= <
*
0NO808YAYINLARI
=<
soru 3
A +# A
< A +# A
<
2
#!&/-*
%9
=
1
6
E=
6AL
D= 1
6
D=S3
=S<
S
2
#!&/ -*
%
1
2
1
E= 2
=3
soru 7
93:9
# #!,93%9
*
= 6
=S<
soru 4
=S3
E=3
1
D= 2
=<
soru 8
6 +# A A 3
+# A A
<
#!&/-*
%9
= 2
=S<
QQ S ,9
3%9
##! :S
¬
,93
\ J9
%
®
#!&/-*
%
= 6
D=S3
S
2
5A
#!&/-*
%9
6
E=3
soru 6
AS<+#AL;
=
:93%9
# #!%939
1
= 3
PALSS2A
1
D= 3
E= 3
#!&/-*
% >93:93%9 ##!S
¬
S >9
%
®
= 2
*
=
1–A
2–E
3–E
4–B
1
2
5–C
85
= 3
E= ;
6–D
D= 3
7–C
= 1
2
8–D
Trigonometri - 1
Trigonometrik Fonksiyonların Periyotları:
f:A o!)
,###!'A#!(
%,:AM0=L,:A=)!//!$#(,
0
!
,,##$
#&,##%0,##$
#&&
'
%N%:z;=#!(
%
n:A = ½°
S
2S
%.,
&
'
¾ ,##!
$
#&
|a |
|a |
-:A= +#n:A =°¿
,:A=
n:A = ½°
S
&
'
¾ fonksiyonlar$
#&
|a |
-:A= +#n:A =°¿
,:A=
çözüm
kavrama sorusu
2
2
,:A=L :2AM3=
,:A=L :2AM3=,##$
#&.,#!&/&%
6
-:A=L2+# :>A=
0013
0
S
|3|
S
'
3
6
-:A=L2+# :>A=,##$
#&#!&/&%
0
2S
|4|
2S
4
S
&
'
2
Cevap:
3
,:A=L<' :AS3=
-:A=L+# :S6AM<=
%
3 2
çözüm
kavrama sorusu
S S
3
,:A=L<' :AS3=,##$
#&%
?
0
0013
S
|1|
S
?
-:A=L+# :S6AM<=,##$
#&%
0
S
I 6I
S
6
Cevap: S %
S
5
çözüm
kavrama sorusu
P
3sin :<AM3=,##$
#&%
>A 3¬
PA 3¬
,:A= 2 P
<'+# <

3 ®
2 ®
0
0013
2S
4
3
2S
4
3
3S
2
2 PA 3¬
,##$
#&%
<+#
2 ®
0#$! &
& -##
,##!
$
#&!
!$%$
#&!
#!
,##$
#&!
'
Q
Q 2Q
P
P
P
2
2
2Q <Q ¬ #:2Q%<Q= ?Q
?Q
# % < P ®
#:<%P=
3
0
?S,##$
#&&
'
Cevap: 6S
86
Trigonometri - 1
soru 1
soru 5
A
¬
,:A= 4 6
2
®
2
,:A=L+# A
00#!*
=
S
4
=
S
2
E= S
D=
3S
2
fonk00#!*
= <S
=
soru 2
S
4
00#!*
S
<
E=
S
2
D=
S
?
=
S
3<
=
0NO808YAYINLARI
=
5S
2
00#!*
= S
E=
S
<
D=
S
>
=
>S
2
E=
<S
2
D=
S
2
=
S
?
A
¬
A
¬
,:A= P 3 +#> 3;
<
®
6
®
3
fonk00#!*
=
S
5
=<S
soru 4
=6S
E=3;S
D=36S
=<;S
soru 8
>A
¬
A
¬
,:A= +#? P P 2
6
2
®
®
2A 6 ¬
,:A= +#4

2 ®
fonk00#!*
1–C
= <S
soru 7
,:A=L :<AM33=
4S
2
3S
2
D=
fonk00#!*
soru 3
=
E= S
2A
¬
,:A= +# 6 6
4
®
4
= <S
S
2
soru 6
,:A=L :?AM3=
= S
=
= S
2 –D
E=
S
2
D=
3–B
S
?
=
fonk00#!*
S
3<
=<6S
4–A
5–E
87
=36S
E=3;S
6–B
D=6S
7–E
=2S
8–B
Trigonometri - 1
Trigonometrik Fonksiyonların Grafikleri:
0
-##
,##!
-
,!
.(!
*+,##$
#&!
'X
#&
!/&-
,.(!
&/
$
#&
!!
&-
,
&!
'
y
y
1
O
1
p
2
3p
p 2
1
y=sinx
2p
x
O p
2
1
y=cosx
x
2p
çözüm
kavrama sorusu
3p
p 2
,:A=L<A
,:A=L<A,##$
#&0L<S&
'
0!113
x
sinx
f(x)=2sinx
0
0
0
p
2
1
2
p
0
0
3p
2
1
2
2p
0
0
y
2
1
p
2
1
2
f(x)=2sinx
2p
x
çözüm
kavrama sorusu
3p
p 2
,:A=L2+#:<A=
,:A=L2+#:<A=,##$
#&0LS&
'
0!113
x
cos2x
f(x)=3cos2x
0
1
3
p
4
0
0
p
2
1
3
3p
4
0
0
p
1
3
y
3
2
1
p
1 4
2
3
88
p 3p
2 4
f(x)=3cos2x
p
x
Trigonometri - 1
soru 1
soru 3
,:A=
A
2
,:A=L2+#<A
fonksi0!#!*
0!#!*
A) y
A) y
B) y
C) y
B) y
3
2
2
2
1
O
p
2
O
x
p
2
1
1
3p
p 2 2p
1
3p
p 2 2p
p
2
1
1
2
O
x
1

2
O
3p
p 2 2p
p
2
1
x
p
4
2
p
4
1
O
3p p x
1
4
E) y
3
E) y
2
1
O
1
1
3p 2p x
2
O
p
2
3p
p 2
p
4
p 3p
2 4 p
3p
4 p
1
x
O
1
p p
4 2
x
2
3
0NO808YAYINLARI
p
2
p
3p p x
4
2
2
1
2
O
1

2
p
4
p
2
3
D) y
D) y
2p x
1
2
soru 2
soru 4
y
y
1
O
1
p p
8 4
3p p
8 2
2
1
O
1
2
x
=<A
E=<A
D=>A
p
2p
3p 4p
x
4!/0#!*
4!/0#!*
=>A
p
2
1
O
3p p x
1
4
2
=<>A
= +#
1–C
C) y
2–D
A
2
= < +#
3–A
89
A
2
E=
+# A
2
D= < +# A
= < +# <A
4–B
Trigonometri - 1
çözüm
kavrama sorusu
,:A=
2 A
2
,:A=
2 A
,##$
#&0L<S&
'
2
p

x
p
2
x
tan Tanýmsýz 1
2
0!113
x
3tan Tanýmsýz 3
2
0
p
2
p
0
1
Tanýmsýz
0
3
Tanýmsýz
y

p
p
2
p
2
O
1
2
3
x
p
çözüm
kavrama sorusu
3
2
1
,:A=LS+#<A
,:A=LS+#<A,##$
#& 0
0!113
S
&
'
2
p
4
0
p
4
p
2
cot2x Tanýmsýz
0
Tanýmsýz
0
Tanýmsýz
cot2x Tanýmsýz
0
Tanýmsýz
0
Tanýmsýz

x
p
2

y

p
2

p
4
O
90
p
4
p
2
x
Trigonometri - 1
soru 1
soru 3
0!#!*
A
4
0!#!*
A)
A) y
,:A=
,:A=L<A

p

2
B)
y
p
4
2

p
4
2
p

2
p x
2
D)
p
1
4
p
14
p p

2 4 1
p x
2
E)
p
4
p
2
B) y
1
O
1
x
p
2
3p
p 2
C)y
p
2
1
2p
x
O
1
p
D)y
y
1
2p
3p
2
x
O
1
3p
4p
p 2p
x
E) y
2
p
4
p
2
p

4
x
p
4
O
x
p 2p
3p
4p
1
p 2p
x O
1
3p
4p x
2
0NO808YAYINLARI
p p

2 4
2
y
1
y
2
C)
y
+#
soru 2
soru 4
y
y
1

p O
p

8
4
1
p
8
p
4

x
p
1–A
=A
E=SA
D=S
A
2
p
O
4 1
1 p
4
p
2
p
x
4!/0#!*
4!/0#!*
=<A
p
2
= +# <A
=S<A
2–E
= +# A
3–C
91
E= +#
A
2
D= +# A
= +#
A
2
4–B
Trigonometri - 1
Trigonometrik Fonksiyonların Tersi (Ters Trigonometrik Fonksiyonlar)
sin D
1
&!.*(:;C%2?;C=
!/&DL2;CDL36;C&
',##)!-*
%
2
R
sin
R
R
30°
sin
30°
1
2
R
1
2
,##
!
)
!
/!('
150°
150°
S3
sin % ,## #!
sin1
@##!
#!!.
*
#!!
-
'0
-##
,##!
*
#!&/&%
!
#!!!
.-&/
!
.!
'
Kosinüs Fonksiyonunun Tersi (Arccos)
# ,## *
#! . &/
!
)/& - !
+# ,## S3
+# L
++##!
,&&!
'
p
2
+#J;%S] oJS3%3K#!(
%
y
++#JS3%3KoJ;%S]
L
++#AAL+#
p
0
x
3p
2
çözüm
kavrama sorusu
1¬
++#
2 ®
1
1¬
1
++# LA L+#A&
'+#AL AL?;C
2 ®
2
2
AL22;C&
%+
++#,##&/
!13
;CdAd35;C#!&/&AL?;C&
'
Cevap: 60°
çözüm
kavrama sorusu

3 ¬
++#

2 ®

3 ¬
3
3
++#
L+#A&
'+#AL LA 2 ®
2
2
AL36;CAL<3;C+%36;CJ;C%35;CK#!&/&
!13
AL36;C&
'
Cevap: 150°
92
Trigonometri - 1
soru 1
soru 5
1¬
++#
2 ®
3 ¬

++#
2 ®
!
!
=2;C
=>6C
E=?;C
D=4;C
=
=3<;C
soru 2
S
2
S
<
E=
2S
>
D=
<S
2
=
6S
?
=
0NO808YAYINLARI
=
++#:;=
=
S
?
E=
S
2
D=
S
<
=
3S
<
1–A
=
S
<
=
S
2
E=
2S
4
D= S =
6S
4
soru 7
++#:S3=M
+#:3=
=
S
?
=
S
>
E=
S
2
D=
S
<
= S
soru 8
1¬
1¬
++# ++#
2 ®
2 ®
++#:S3=
!
= ;q
S
>
soru 4
S
4
!
= ;q
D=
!
soru 3
S
?
E=
2 ¬

++#:3= ++#
2 ®
!
S
>
2S
2
soru 6

2 ¬
++#

2 ®
=
=
=
S
2
2 –C
!
E= S
D=
3–D
3S
2
=;C
= <S
4–C
5–B
93
=4;C
E=3<;C
6–A
D=36;C
7–E
=35;C
8–E
Trigonometri - 1
Sinüs Fonksiyonunun Tersi (Arcsin)
,##
*
#!.&/
!
)/&-!
,##
S3
sin L
+#!
,&&!
'
p
2
y
ª S Sº
sin: « % » oJS3%3K#!(
%
¬ 2 2¼
0

x
ª S Sº
+JS3%3Ko « % »
¬ 2 2¼
L
+AAL
p
2
çözüm
kavrama sorusu
3 ¬

+
2 ®
3
3 ¬
LA&
'
+
LA
2 ®
2
!13
AL
3
AL?;CAL3<;C&
%+
2
ª S Sº
+ ,## &/
« % » #!&/&
¬ 2 2¼
AL?;C&
'
Cevap: 60°
çözüm
kavrama sorusu
1¬
+
2 ®
1¬
1
+ LA LA&
'
2®
2
!13
AL 1
AL<3;CALS2;C&
'
2
ª S Sº
+ ,## &/
« % » #!&/&
¬ 2 2¼
ALS2;C&
'
Cevap: – 30°
çözüm
kavrama sorusu

1¬
+# +

2®

1¬
+# +

2
®
A
!13
1
1
+ A A 2
2
AL
S
1
old/-*
AL &
'
?
2

Q
1¬
3
+# + +# &
'

<®
?
<
Cevap:
94
3
2
Trigonometri - 1
soru 1
soru 5
1¬
+
2 ®
!
!
=4;C
=P6C
E=?;C
D=>6C
=2;C
=
soru 2
3
2
S
4
E= ;
D=
S
2
=
S
4
= 0NO808YAYINLARI
=
2 ¬
+

2 ®
= S
3
E= S
2
D=
S
2
=
1–E
2
2
= 3
2
= 3
2
E=
3
2
D=
2
2
=
1
2
=
S
5
soru 7
1¬
1¬
+ +
2 ®
2 ®
= E=
S
<
D=
S
>

3 ¬
3 ¬
++#
+# +

2 ®
2 ®

+:S3=M
+:;=
S
5
D= soru 8
!
= 2
2
= ;
S
4
soru 4
1
2
!
S
4
E= !
soru 3
= 1
2

1¬¬
+
2 ®®

!
S
2
=
soru 6
+:3=
=
3 ¬
+# +

2 ®
= S
>
2–D
E= S
<
3–A
D= ;
=
S
>
=<2
4–C
5–B
95
=2
E=<
6–E
D=3
7– A
=
1
2
8– D
Trigonometri - 1
Tanjant Fonksiyonunun Tersi (Arctan) ve Kotanjant Fonksiyonunun Tersi (Arccot)
0U,##
{
+{&
'
Q Q¬
tan: , o#!(
%
2 2 ®
#U,##
{
++#{&
'
cot: (0,S) o R
Q Q¬
Arctan: R o ,
2 2 ®
y=Arctanx x=tany
Arccot: R o (0,S)
y=Arccotx x=coty
p
2
y
y

0
p
x
x
p
2
çözüm
kavrama sorusu
Arctan(1)
Arctan(1)=x ise 1=tanx
Q Q¬
tanx=1 ve x , #!&/-*
% x
2 2 ®
!13
S
&
'
4
Cevap:
S
4
çözüm
kavrama sorusu
Ar++#:S3)
++#:S2=LAS3=cotx
!13
+#ALS3 ve x(0,S=#!&/-*
%AL36;C&
'
Cevap: 150°
çözüm
kavrama sorusu
sin(Arctan(1))
sin(
Arctan(1))
!13
x diyelim,
Arctan(1)=x ise 1=tanx
Q Q¬
tanx=1 ve x , #!&/-*
% x
2 2 ®
sin(Arctan(1))=sin
S
4
S
'
4
2
2
Cevap:
96
2
2
Trigonometri - 1
soru 1
soru 5
+:2=
!
!
=
2S
2
=
+#:
+:3==
S
<
E=
S
2
D=
S
>
=
S
?
=
soru 2
3
2
S
>
E= S
2
D=
S
2
=
S
?
= 0NO808YAYINLARI
= 3
2
=
S
2
E=
S
>
D=
S
?
=
2S
2
= 3
2
E= 3
D=
1
2
=
3
2
= 1
2
E= 3
D=
3
2
=
1
2
sin:
+:3==
!
ifa!
1–C
1
2
soru 8

1 ¬¬

++#
3 ®®

2
= !
soru 4
=
= ;
sin:
++#:2==
!
S
<
D= 3
soru 7
++#:3=
=
1
2
!
soru 3
E=

1 ¬¬

+# ++#

®®

3
!
S
?
2
2
soru 6
1 ¬
+

3 ®
= =
=
1
3
2–A
E= 3
D= 3–C
1
3
= 3
2
=
4–A
2
2
5–B
97
=
1
2
E= 6–B
1
2
D= 2
2
7–E
= 3
2
8–A
Trigonometri - 1
çözüm
kavrama sorusu

Q ¬¬
Q ¬¬
Arccos cos ve Arccos cos
4 ®®

4 ®®

2 ¬

Q ¬¬
Arccos cos Arccos

2 ®
4 ®®

2
2
!13

¬
2
Arccos 2 =x ise cosx=
2
2 ®
S
x[0,S]#!&/& x
4
2 ¬

Q ¬¬
Arccos cos Arccos

4 ®®

2 ®
2
2
2 ¬
=y ise y= S !
'
Arccos
2 ®
4

Q ¬¬
Q ¬¬
Arccos cos ile Arccos cos

4 ®®
4 ®®

,&!
#+#!&/&&('
S S
Cevap:
4
,
4
çözüm
kavrama sorusu

3 ¬¬
+

4 ®®
A
5
!13

3 ¬¬
+ A
4 ®®

x diyelim
3
3¬
3
+ LAAL
4 ®
4
x
B
4
&.-&AL
3
!
'
5
Cevap:
3
5
çözüm
kavrama sorusu
C
:
+A=
A
#13
: + A=

y diyelim
1
x
+ALLA
2
2
|BC| =|AB| SIEI
2
2
L3SA
y
B
L
98
óõ1xõ2
x
1 x2
C
|BC|=3SA
2
!
'
Cevap:
x
1 x2
Trigonometri - 1
soru 1
soru 5
Q ¬¬
+
? ®®

3¬
+# +

6®
!
=
2S
2
=
S
2
ifa##!*
E=
S
?
D= S
?
= S
2
=
soru 2
6
>
=
S
?
E= 2S
2
D=
S
2
=
S
?
=
0NO808YAYINLARI
=
6Q ¬¬
++# +#
3 ®®

!
S
3
=
<S
3
6
<
=
E=
6S
3
D= S
3
= 6S
3
2
>
6
E=
6
6
D=
< 6
6
=
2 6
6
+#:
++#A=
=
3 A2
A
=
A
3 A2
E= 3 A 2 D= A
=
3
A
soru 8

1¬
+

A®
ifa##!*
=
3<
32
E=
6
3<
D=
3<
6
ifa##!*
=
32
3<
=
3
3 A
2
2–A
3–A
4–B
5–D
99
= 3 A 2 D=
1–C
=
soru 7

6¬
+# +

13 ®
6
32
>
2
ifa##!*
soru 4
=
D=
ifa##!*
soru 3
=
>
6
:
+<=
!
S
2
E=
soru 6
Q ¬¬
+
3 ®®
= 2
6
A
3 A2
6–D
E=
=
3 A2
A
A
3 A2
7–B
8–A
Trigonometri - 1
çözüm
kavrama sorusu
+AL
A
#!&/-*
%#13
+ALAL&
'
L
1
A
3 A2
&
'
x
a
B
C
óõ1xõ2
x
Cevap:
çözüm
kavrama sorusu
+: A=
1 - x2
S
?
A
ñ5
#!&/-*
%913
x
B
+:A=L
1
AL
C
2
S
?
AL
+#AL
S
?
1
2
2
6
Cevap:
2
5
çözüm
kavrama sorusu

4¬
+# Q +

6®

4¬
+# Q + L+#:SSA=LS+#AL

6

A &! ®
!13
+
4
4
LAAL
6
6
A
5
4
+# A
3
6

4¬
3
+# Q + +# A
6®
6
x
B
C
Cevap: 3
5
çözüm
kavrama sorusu
3
+:AS2=
ª S Sº
+JS3%3Ko « % » #!&/&%
¬ 2 2¼
+,##JS3%3K&
'
0#$13
S3dAS2d1
2dAd>!
'
100
Trigonometri - 1
soru 1
soru 5

5¬
Q ++#

3P ®
++#AL
#!&/-*
%!
=
3
3 A2
=
D=
A
ifa!
E= 3 A 2
3 A2
3 A2
A
= 36
3P
5
3P
D=
5
36
=
36
3P
Q
¬
+# +<
2
®
#!&/-*
%!#!*
3 A2
A
=
D=
A
3 A2
E=
3
3 A
2
3
=
A
ifa!
=
0NO808YAYINLARI
= 3 A 2 soru 3
< 6
6
=
6
6
E= 6
6
D= < 6
6
= > 6
6
soru 7
S
+:+# A=
4
#!&/-*
%9
2
=
1
3
+:<AM3=
0 # $ #!
*
E= 3
D=
1
2
= <
=JS3%;K
soru 4
=JS3%3K
E=J;%3K
D=J3%;K
=J3%<K
soru 8
++#: A=
A P ¬
++#
2 ®
S
3
#!&/-*
%9
1–C
E=
soru 6
+AL
= <
5
36
3 A2
A
=
soru 2
=
= =
1
2
E=
2–E
0 # $ #!
*
1
6
D=
3–C
2
6
=
6
=J>%PK
4–A
5–E
101
=J>%4K
E=J6%4K
6–D
D=J6%3;K
7–A
=JP%4K
8–C
Trigonometri - 1
Kosinüs Teoremi
.-&
(!/
!
&.*!.!&/&.+
(!/!.
(!!
!
.-.!
-##
#
!
!.##
!!
('1#
.(*!
!:*!
!=.*((#
!&/(#
!
&##
(#!!/!
'
A
IIL+
%IEIL
IEIL
#!(
%
2
2
2
2
2
2
2
2
2
a L M+ S<'+'+#A
c
b L M+ S<'+'+#
b
+ L +b S<''+#E
a
B
C
çözüm
kavrama sorusu
A
60°
E.-
##
&%
:E=L?;C
A L< +3 S<'<'2'+#?;C
1
2
A L>M4 2 '<'2'
2
2
A L32S?
2
IIL<
3
2
IEIL2
IEILA
x
C
2
2
A LP
#!&/-*
%
B
2
ALP
9
Cevap: 7 br
çözüm
kavrama sorusu
A
##
&%
2
2
2
6 L> MP S<'>'P'+#
<6L3?M>4S6?'+#
5
4
<6L?6S6?'+#
S>;LS6?'+#
B
C
7
+osL
E.-%IIL>
%IEIL6
%IEILP
>;
6?
6
P
Cevap:
#!&/-*
%
çözüm
kavrama sorusu
A
D.-&%
A
2
2
II LIDI MIDI
7
4
3
E 2 C
B
2
E.-%JKAJDK%IDILP
%IDIL2
%IEIL<
%
2
2
2
II L<6
IIL6
D&.-&+#L
D
4
2
II L2 +4
x
D
3
2
7
x
B
5
7
2
E.-&#
E 2 C
5
3
6
#
&%
2
A L3; MP S<'3;'P'+#
3
2
A L3;;M>4S<'3;'P'
6
2
A L3>4S5>L?6
IDIL>
%IEILA#!&/-*
%9
AL?6
Cevap: 65
102
Trigonometri - 1
soru 1
soru 5
A
E.-
30°
:E=L2;C
4
A
2ñ3
IIL>
12
B
IEIL<3 br
IEILA
=2<
x
B
#!&/-*
%9
=2
13
5
E=<2
soru 2
E.-%IIL6
%IEIL3<
%IEIL32
C
D=<
C
#!&/-*
%
=2
=
6
2<
=
>
<4
E=
2
<2
soru 6
A
E.-
D=
6
3P
A
E.-
4ñ2
:E=L>6C
x
6
4
IIL>
IIL>2 br
= ;
IEIL?
IEIL?
IEIL6
45°
6
C
D=><
=62
B
IEILA
#!&/-*
%
B
5
C
6
?
=
=6
=<6
E=2<
soru 3
A
E.-
x
:E=L3<;C
4
IEIL>
IEIL2
IILA
=22
soru 4
<
2
=
2
>
E=
>
6
D=
soru 7
A
E.-
x
6
JGKAJEK
IGIL5
C
IGEIL>
B
8
H
E=?
D=26
=2P
=>2
=P
E=6<
D=<32
soru 8
A
6
=66
A
x
E.-
3
JDKAJDK
B
C
8
B
IEIL2
E.-%IIL2
%IEIL?
%IEIL5
IEIL?
#!&/-*
%
IEDIL3
C
6
= 3P
2?
E= 36
2>
D=
32
2;
=
E
IILA
#!&/-*
%9
33
2;
=<6
1–D
2–B
3–E
1 D
2ñ2
IDIL<2 br
34
2?
C
4
IEILA
#!&/-*
%9
3
= ?
P
IGIL?
#!&/-*
%9
=2;
=
120°
3
B
0NO808YAYINLARI
#!&/-*
%9
4–A
5–E
103
=<?
E=S3?'+#E
B
6LS3?'+#E
D
%E%%E%D&#/
!%IEIL3
%IEIL2
6
!&/(&/
E.-&-!3?
+/(##
&
(!'
+#EL IEIL>
%IEDIL<
%IDIL6
%IILA
#!&/-*
%9
2
2
2
A L3 +3 S<'3'2'+#E

¬
3
6

A 2L3; ? '
3?
5 ®
A 2L3;M
36
5
A 2L
46
5
AL
46
5
Cevap:
95
8
çözüm
kavrama sorusu
E.-
(!!
%+&
'
2
2
6 L> +2 S<'>'<'+#E
2
D
2
E ED .-& # #
-!$ +#E &/
A
##
&%
2
a L M+ S+
2
2
2
2
2
2
2
2
2
a L M+ S<''+'+#(!
'
#!&/-*
%
c
a L M+ S+
b
a L M+ S<'+'+#A
)!!
)!!'
a
B
C
l
2 + 2 <'+'+# l
+ < + '+# 1
l
+# &
'
2
b2 + 2 +
Cevap:
1
2
çözüm
kavrama sorusu
A
##
&+#:E=L?;C!!%
2
2
2
A L> M? S<'>'?'+#?;C
4
2
x
A L3?M2?S 2 '>'?'
2
1
2
A L6<S<>
2
A L<5
B
6
C
AL
%IEIL?
%:E=R?;C
:E=R?;C#!&/&AR<P#!!&
'
#!&/ -*
% 1! ! !
!13
F.-)(!/&?S>RA<RA&
'<RAR<P&
'
Cevap: 2<x<27
104
Trigonometri - 1
soru 1
soru 5
A
x
4
E.-&
(!!
%+&
'
8
B
2
D
2
C
2
#!&/-*
%
3
4
2
a L M+ M+
E
= %E%D%E%&#/
!%IEILIEIL>
%IEIL5
3
2
1
2
= 2
2
E= D=
1
2
3
2
=
IEDIL<
%IDIL2
%IILA
#!&/-*
%9
=>
E=6
D=?
=5
soru 6
A
1
D
soru 2
E.-
IDIL3
4
3
IDIL2
IIL<
2
2
E
C
5
IDIL>
IEILA#!&/-*
%9
=?4
=P;
E=?<
soru 3
D=62
A
D
x
5
6
IIL?
=P4
8
ED&&*
-
E
IDIL5
B
C
=
S
?
S
>
E=
S
2
D=
S
<
=
2S
2
A
soru 7
E.-
3
IIL2
2
=6
E=?
#!&/-*
%
D=<3;
x
B
C
9!!$#!*
=>3
=:3%<=
soru 4
IIL?
180°a
6
4
IDIL5
8
IDEIL2
C
=63;
2–E
3–B
A
10
6
:E=^3<;C
3
a
x
B
C
#!&/-*
%9!!$#!*
=:3>%3?=
D=632
=:3%3;=
IEIL3;
#!&/-*
%9
6 3;
E=
2
D=:3%2=
IIL?
D
IEILA
E=:3%P=
E.-
x
B
IEIL>
=:3%6=
soru 8
A
:=M:D=L35;C
1–D
=
:E=R?;C
IILA
#!&/-*
%9
=3;
2
IEIL<
IDIL6
=>
2
a L M+ S2+
#!&/-*
%#!*
B
IEIL6
E.-&
(!!
%+&
'
x
0NO808YAYINLARI
=2
=:3>%3P=
E=:3>%35=
D=:>%3>=
=:>%3?=
=636
4–C
5–B
105
6–A
7–C
8–A
Trigonometri - 1
Sinüs Teoremi
A
F.-!
& -
(!/%#
-*
.
.#
.-.
!.
.$)
'
IIL+
'
b
c
l
IEIL
'
+
l
E
2R
IEIL
'
a
B
C
çözüm
kavrama sorusu
A
a
4$
O
l
sin A
5
2;q
/
R
8
l
IEIL5
30°
B
:E=L2;C
013
C
+
l
E
2R
5
1
2
2R
2R
Cevap: 8
<L3?L5
çözüm
kavrama sorusu
A
l
+
l
E
2R #
&%
4
2ñ3
60°
4
a
B
3
C
4
?;q
2 3
>'DL<2'?;C
D
>' D
< 2'
sin D
a
ñ7
E.-%IIL<2
%IEIL>
%:E=L?;C
+# D
:E=LD#!&/-*
%D13
3
2
3
4
P
4
Cevap:
7
4
çözüm
kavrama sorusu
A
30°
A
30°
a
6
4
D
<IDEIL2IDI
IDEIL2IDIL<
a
B
C
2k
:ED=L35;CST
sinD13
C
3k
4
2k

1
T
2
DE.-.
:DE=LD%<IDEIL2IDI#!&/-*
%
D.-.
180°q
D
2k
2;q
E.-%IIL>
%IEIL?
%:D=L2;C
:D=LT
6
4
q
B
2R #
&%
4
sin T
T
1
2
3k
sin D
sin D
106
?
2

:35;q T=
D
1
k'
1
k
sin D
2
2
?
sin D
T
' T
<
Cevap:
1
2
Trigonometri - 1
soru 1
soru 5
A
A
60°
4$
/0
R
12
O
B
4
120°
C
4
a
B
C
E.-%IIL>
%IEIL3<
%:E=L3<;C
<
2
=
=
2 <
2
E=
< 2
3
D=
> 2
3
=
:E=LD#!&/-*
% sinD
5 2
3
=
=
E=
2
<
D=
< 2
2
=
?
?
A
4$
6ñ2
/
8
120°
45°
B
45°
B
=?
C
E=4
D=3<
soru 3
=35
A
&E.-
x
.
!.
.$2
30°
B
C
E.-%IEIL5
%:E=L3<;C%:E=L>6C
#!&/-*
%
0NO808YAYINLARI
=2
2
2
soru 6
A
soru 2
2
?
=>2
=>2
E=?
D=<?
=>?
soru 7
A
10ñ2
C
#!&/-*
%
45°
30°
U9
B
C
E.-%IEIL3;<
%:E=L2;C%:E=L>6C
=3
=<
E=2
D=>
=?
#!&/-*
%
=3<
soru 4
E=<;
soru 8
A
5
q
4
3
IEIL>
C
:D=LD
B
D
C
E.-%IIL?
%IEIL6
%:E=L2;C%:E=LT
:DE=L?;C
#!&/-*
% sinT
IDEIL<IDI#!&/-*
%sinD
=
6
?
1–D
=
6
3<
2–D
E=
6
32
D=
3–C
3
3<
=<6
a 60°
IIL2
30°
D=<>
A
E.-
6
B
=36
=
?
32
=
4–B
2
2
5–A
107
=
< 2
2
E=
6–E
?
?
D=
< ?
2
7–C
=
2 ?
>
8–A
Trigonometri - 1
Trigonometrik Alan Formülleri
A
0
-##
&!.-!*!-!
!!
$!-
c
.#*
&
*!
!!)!&
'
1
!:E=L ''+'A
2
b
a
B
!:E=L
1
''+'
2
!:E=L
1
'''E
2
C
çözüm
kavrama sorusu
A
!,#
!&%
1
l
!:E=L
IEI'I EI'E
2
4
30°
6
B
1
'''E
2
1
'>'?' 2;q
2
1
1
'>'?'
? 2
2
2
C
E.-%IEIL>
%IEIL?
%:E=L2;C
Cevap: 6
#!&/-*
%Q
13
çözüm
kavrama sorusu
A
45° 60°
x
2IDIL<IDEIIDIL<IDEIL2
!!
#
!
#
)#!&/&%
2ñ2
:D=
:DE=
B
D
<
3
1
'A'I DI' >6q
2
1
'< <'I DI'?;
2
C
E.-%IEIL<<
%:D=L>6C
:DE=L?;C%2IDIL<IDEI%IILA
A'
#!&/-*
%913
2
2
A
2 3
3
2 2'
2
A
2
3
<
3
4 3
3
Cevap:
4 3
3
çözüm
kavrama sorusu
A
A
2
2
D
D
3
3
a
6
x
C
B
ED
.-%IDIL<
%IDIL2
E
B
6
C
x
E
:E=L:D=
IEIL?
%IEILA
%:E=L:D=
1
1
I I'IEI' D
'IDI'II' D
2
2
1
1
'6'?' D
'2':A ?=' D
2
2
#!&/-*
%913
2;L2AM35
2AL3<AL>
108
Trigonometri - 1
soru 1
soru 5
A
60°
E.-
E.-
4ñ3
IIL>3 br
A
2
IIL2 br
IEIL<
IEILA
:E=L?;C
:D=L?;C
B
#!&/-*
%
C
ñ2
D
60°
:DE=L>6C
<'IDEILIDI
Q
45°
x
B
C
#!&/-*
%9
=>
=?
E=5
D=3;
=3<
=
soru 2
2
2
=
3
2
A
10
IIL3;
B
:E=L36;C
B
C
D
D.-%JKAJEK%IIL<2
%IDIL>
E=3;
D=3<
=36
A
soru 3
0NO808YAYINLARI
=?
5
IEIL6
=3
Q"
=<
8
B
=52
D=3;2
soru 4
=3
=3<3
30° 45°
E.-
x
6ñ3
C
4
:DE=L>6C
IDIL3
B
=<
E=2
D
D
C
!:E=L2
D=>?
3–D
=6
A
2
E
3
2
D 1B
#!&/-*
%
IILA#!&/-*
%9
E=<?
D=>
IEIL2
IEIL2
2–E
8
IIL<
:D=L2;C
=>2
x
soru 8
A
IDILIDEI
E
:E=L:D=#!&/-*
%9
E=42
IEIL?3 br
=2
A
B
#!&/-*
%Q
D=<
2
IEDIL>
IILA
C
E=2
soru 7
IEIL5
120°
:E=L3<;C
1–B
Q
#!&/-*
%
IIL<
E.-
=<2
4
C
6
#!&/-*
%Q
IEIL5
=<?
30°
2ñ3
150°
IEIL?
=6
D=<2
soru 6
A
E.-
=?2
E=2
Q"]
12
=2
= 6
=??
4–E
5–B
109
E=2
6–C
3
D= 4 6
7–D
C
=?
8–B
Trigonometri - 1
A
E.-!)/&,#
!!
&!&!!
'
c
b
O
R
B
IIL+
!:E=
IEIL
IEIL
C
a
''+
4R
Y
L<LMM+#!(
!:E=
': =': =': +=
&
':G
#,#
!=
çözüm
kavrama sorusu
A
Y
L<L>M6MP
<L3?
5
4
L5
': =': =': +=
!:E=
7
B
5':5 P=':5 6=':5 >=
C
5'3'2'>
E.-%IIL>
%IEIL6
%IEILP
> ? 2
#!&/-*
%Q
6
çözüm
kavrama sorusu
B
4
O
(!.
E.-.
!.
&
.$L>
'
&
(!
8
A
.
!)
'
6
IIL>
!:E=
IEIL?
16
ò15
C
IEIL5
3?
IEIL
br
36
''+
4R
>'?'5
3?
>'
36
2
L236
#!&/-*
%Q
Cevap: 315
çözüm
kavrama sorusu
A
Y
L<L2M6M?
<L3>
LP
6
3
!:E=
': =': =': +=
P':P ?=':P 6=':P 2=
P'3'<'>
B
5
C
2 14
IIL?
%IEIL2
%IEIL6
#!&/-*
%
!:E=
$/0
110
''+
< 3>
4R
2'6'?
2 14
4R
2'6'?
>6
>'< 3> > 3>
>6 3>
'
6?
Cevap:
45 14
56
Trigonometri - 1
soru 1
soru 5
A
E.-
%
3
4
^1>@%@:/:; $
/
IIL>
IEIL2
5
B
IEIL6
C
=3;
=3<
E=32
D=3>
=3?
%
#!&/-*
%Q
=<
=2
E=<
soru 2
D=2
=?
soru 6
A
E.-
IIL4
IIL?
8
6
IEIL5
IEIL33
#!&/-*
%
=62
4
B
%
Q
E=26
D=23;
%
^1&HT$ E=26
D=<3;
10
B
/0
=236
soru 3
=?6
$
C
0NO808YAYINLARI
#!&/-*
%
=3<6
11
9
IEIL3;
IEIL>
=3;2
A
=23;
=

soru 7
D=
22 2
5
C
=
22 <
5
A
IIL5
IEIL3;
IEIL?
10
8
#!&/-*
%
$/
0
=2
soru 4
5
B
.
!)
'
3
IIL6
E=6
6
D=?
C
=5
soru 8
A
&
(!
=>
B
5
^1:,>$/
C
6
O
=2
IEIL?
=<
E=>
D=
6
2
=6
IEIL6
<6
%
IIL
#!&/-*
%Q
5
=?
1–E
=4
2–E
E=3<
D=35
3–A
=<>
4–C
5–C
111
6–E
7–C
8–E