Matematika

Pertanyaan

Tentukan periode dari fungsi fungsi berikut! a.y=2sin (5x+1/6pi) +3.
B.y=-tn 4x+2
C.y= 3cos (2x-50°)-2
Makasih

2 Jawaban

  • a) T = 360/5 = 72
    b) T = 180/4 = 46
    c) T = 360 / 2= 180
  • Rumus periode :
    y = a sin (kx + b) + c => p = 2π/k
    y = a cos (kx + b) + c => p = 2π/k
    y = a tan (kx + b) + c => p = π/k

    A) y = 2 sin (5x + π/6) + 3 => k = 5
    p = 2π/5 = 72°

    B) y = - Tan 4x + 2 => k = 4
    p = π/4 = 45°

    C) y = 3 cos (2x - 50°) - 2 => k = 2
    p = 2π/2 = π = 180°

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