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GRAFIK FUNGSI TRIGONOMETRI

Oleh: Suratno, S.Pd SMAN 1 Kaliwungu. GRAFIK FUNGSI TRIGONOMETRI. GRAFIK FUNGSI TRIGONOMETRI. Y = SIN X 2. Y = COS X 3. Y = TG X. 1. Fungsi Trigonometri. Perhatikan fungsi-fungsi yang ditentukan sebagai berikut:. a. f(x) = sin x o. b. f(x) = cos x o. c. f(x) = tan x o.

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GRAFIK FUNGSI TRIGONOMETRI

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  1. Oleh: Suratno, S.Pd SMAN 1 Kaliwungu GRAFIK FUNGSITRIGONOMETRI

  2. GRAFIK FUNGSITRIGONOMETRI • Y = SIN X • 2. Y = COS X • 3. Y = TG X

  3. 1. Fungsi Trigonometri Perhatikan fungsi-fungsi yang ditentukan sebagai berikut: a. f(x) = sin x o b. f(x) = cos x o c. f(x) = tan x o d. f(x) = 2 sin x o e. f(x) = cos 2x o Fungsi-fungsi di atas merupakan contoh fungsi trigonometri

  4. Kita dapat menentukan nilai suatu fungsi trigonometri, untuk setiap x anggota daerah asal yang diberikan. Contoh Suatu fungsi trigonometri ditentukan oleh f(x) = cos xo Hitung nilai fungsi f untuk nilai x sebagai berikut : a. x = 60 b. x = 150 c. x = 225 Penyelesaian Ditentukan f(x) = cos xo, maka : a. f(60) = cos 60o =1/2 b. f(150) = cos 150o = -1/2Ö3 c. f(225) = cos 225o = -1/2Ö2

  5. 2. 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

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

  7. 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

  8. 1 Y = Cos x 270 0 360 0 0 90 0 180 0 -1

  9. c. Grafik y = tg xo x 0 45 90 135 180 225 270 315 360 y 0 1 ∞ -1 0 1 ∞ 10

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

  11. Y = sin x Y = sin ( x + 90 0 ) PERGESERAN GRAFIK FUNGSI TRIGONOMETRI 1 270 0 360 0 0 180 0 90 0 -1

  12. Berhenti sejenak…

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