Matematika

Pertanyaan

sin(2x+70°)=cos 40° tentukanlah nilai x

1 Jawaban

  • sin (2x + 70) = cos 40
    sin (2x + 70) = sin (90 - 40)
    sin (2x + 70) = sin 50

    2x + 70 = 50 + n x 360
    2x = 50 - 70 + n x 360
    x = (- 20 + n x 360) / 2
    x = - 10 + 180n

    n = 0
    x = -10 + 0 = -10

    n = 1
    x = -10 + 180 x 1 = 170

    atau

    2x + 70 = (180 - 50) + n x 360
    2x = 130 - 70 + 360n
    x = (60 + 360n)/2
    x = 30 + 180n

    n = 0
    x = 30 + 180 x 0 = 30
    HP = {30, 170, 0 ≤ x ≤ 180}

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