Matematika

Pertanyaan

Tentukan periode fungsi trigonometri berikut
a. y = sin 3x
b. y = 3 cos 1/2x

1 Jawaban

  • Y = a sin (bx + c) --> periode = 2π/b = 360/b
    y = a cos (bx + c) --> periode = 2π/b  =360/b

    1) y = sin 3x
    a = 1,  b = 3 , c = 0
    P = 2π/b = 2π/3 = 120°

    2) y = 3 cos 1/2 x
    a = 3
    b = 1/2
    c = 0

    p = 2π/b = 2π/(1/2) = 4π = 4(180) = 720°

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