1. FFUUNNGGSSII && GGRRAAFFIIKK FFUUNNGGSSII
TTRRIIGGOONNOOMMEETTRRII
1
FUNGSI &GRAFIK FUNGSI
TRIGONOMETRI
Oleh:
Aururia Begi Wiwiet Rambang
ACA 111 0064
1

2. 2

3. 3

4. 4

5. 5

7. AATTUURRAANN SSIINNUUSS
c
a = =
SinC
b
SinB
SinA

8. BBuukkttii ::
CDb =
SinΑ
CD = b.SinA CD = aSinB
SinB
CD =
a
bSinA = aSinB
b
SinB
a =
SinA

9. CCOONNTTOOHH SSOOAALL ::
Pada segitiga ABC,
diketahui
0
c = 6, sudut B = 600 dan
sudut C = 450.
Tentukan panjang b !

10. PPEENNYYEELLEESSAAIIAANN ::
b
b
c
Sin Sin
2
6
3
6
45
=
60
=
1
2
1
2
0 0
=
b
SinC
SinB
2
= ´
3 6
3 6
1
1
6 3
= ·
6 6
2
2
2
2
2
2
= =
b
b
b

11. AATTUURRAANN KKOOSSIINNUUSS
a2 =b2+c2-2bcCosA
b2 =a2 +c2 -2acCosB
c2 =a2 +b2 -2abCosC

12. CCOONNTTOOHH SSOOAALL ::
Pada segitiga ABC,
diketahui
a = 6, b = 4 dan sudut C
= 1200 Tentukan
panjang c

13. PPEENNYYEELLEESSAAIIAANN ::
c2 = a2 + b2 – 2.a.b.cos C
c2 = (6)2 + (4)2 – 2.(6).(4).cos 1200
c2 = 36 + 16 – 2.(6).(4).( – ½ )
c2 = 52 + 24
c2 = 76
c =√76 = 2√19

14. 14
Berhenti sejenak…

15. 15
b. Membuat Grafik Fungsi
Trigonometri
a. Grafik y = sin xo , 00 ≤ X ≤ 3600
x 0 30 90 150 180 210 270 330 360
y 0 ½ 1 ½ 0 -1/2 -1 -1/2 0

16. 16
1
0
-1
90 0 180 0
270 0
360 0
Y = sin x
y
x

17. SSiinnee ggrraapphhss
y = sin(x)
y = sin(3x)
y = 3sin(x)
y = sin(x – 3)
y = sin(x) + 3
y = 3sin(3x-9)+3
y = sin(x)
y = sin(x/3)

18. 18
b. Grafik y = Cos xo ; 00 ≤ X ≤ 3600
x 0 60 90 120 180 240 270 300 360
y 1 1/2 0 1/2 -1 - 1/2 -1 1/2 1

19. 19
1
0
-1
90 0 180 0
270 0
360 0
Y = Cos x

20. GGrraapphhss ooff ccoossiinnee
y = cos(x)
y = cos(3x)
y = 3cos(x)
y = cos(x – 3)
y = cos(x) + 3
y = 3cos(3x – 9) + 3
y = cos(x)
y = cos(x/3)

21. 21
c. Grafik y = tg xo
x 0 45 90 135 180 225 270 315 360
y 0 1 ∞ -1 0 1 ∞  1 0

22. 22
1
0
-1
90 0 180 0
270 0
Y = Tg x
360 0
45 0
135 0 315 0
225 0

23. GGrraapphhss ooff ttaannggeenntt aanndd
ccoottaannggeenntt
y = tan(x)
Vertical asymptotes at
y = cot(x)
x =p + np
. Verrical asymptotes at x = np .
2

24. GGrraapphhss ooff sseeccaanntt aanndd ccoosseeccaanntt
y = sec(x)
Vertical asymptotes at
Range: (–∞, –1] U [1, ∞)
y = cos(x)
y = csc(x)
Vertical asymptotes at
Range: (–∞, –1] U [1, ∞)
y = sin(x)
x =p +np .
x = np.
2

25. Mohon maaf jika ada kesalahan maupun
kekurangan selama presentasi ini.
Tuhan Memberkati
BARISAN DAN DERET
Hal.: 25