Matematika

Pertanyaan

jika cos x = 1/2 maka cos 3x =

1 Jawaban

  • Anggap daerah penyelesaiannya 0° ≤ x ≤ 360°

    cos x = 1/2
    cos x = cos 60°
    x = 60° ± k.360°
    x = 60° + 0.360°
    x = {60°}
    dan
    x = -60° ± k.360°
    x = -60° + 1.360°
    x = 300°
    x = {300°}

    Jadi, x = {60°, 300°}

    Jika x = 60°
    cos 3x = cos 180° = -1

    Jika x = 300°
    cos 3x = cos 900°
    = cos (900°-720°)
    = cos 180°
    = -1

    Jadi, cos 3x = -1

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