# Fungsi dan Grafik Fungsi Trigonometri

A
Aururia Begi Wiwiet RambangUniversity of Palangka Raya
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### Fungsi dan Grafik Fungsi Trigonometri

• 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
• 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
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