Matematika

Pertanyaan

Tentukan hp dari pesamaan 2 cos 2x + √3 = 0 dan 0°≤ x ≤ 720°

1 Jawaban

  • 2 cos 2x + √3 = 0
    cos 2x = -√3/2
    cos 2x = cos 150°

    2x = 150 + k.360
    x = 75 + k.180
    k = 0, x = 75°
    k = 1, x = 255°
    k = 2, x = 435°
    k = 3, x = 615°

    2x = -150 + k.360
    x = -75 + k.180
    k = 1, x =105°
    k = 2, x = 285°
    k = 3, x = 465°
    k = 4, x = 645°

    Hp° = {75°, 105°, 255°, 285°, 435°, 465°, 615°, 645°}

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