Matematika

Pertanyaan

persamaan trigonometri mohon dibantu, tolong caranya trims.

cos 2x = cos 120

1 Jawaban

  • diketahui :
    cos 2x = cos 120

    jawab :
    cos 2x = cos 120
    2cos^2 x - 1 = cos 120
    2cos^2 x - cos 120 - 1 = 0
    misal :
    cos x = A

    maka :
    2cos^2 x - cos 120 - 1 = 0
    2A^2 - A - 1 = 0
    (A + 1)(2A - 1)
    A = -1 V A = 1/2
    ...................................kembalikan
    ●→A = -1
    cos x = -1
    cos x = cos 180
    >>> x = 180

    ●→ A = 1/2
    cos x = 1/2
    cos x = cos 60
    >>>> x = 60

    Hp : {60, 180}

    silahka di check kembali, semoga membantu

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