Matematika

Pertanyaan

tentukan nilai x yang memenuhi kesamaan 2 cos (2x + 30 derajat) = akar 3 untuk 0 derajat < x < 360 derajat

1 Jawaban

  • 2cos(2x + 30°) = √3
    2cos(2x + 30°) = √3 (:2)
    cos(2x + 30°) = (1/2)√3
    acos(cos(2x + 30°)) = acos(1/2)√3
    2x + 30° = 30°
    2x = 30° - 30°
    2x = 0°
    2x = 0° (:2)
    x₁ = 0°

    2cos(2x + 30°) = √3
    2cos(2x + 30°) = √3 (:2)
    cos(2x + 30°) = (1/2)√3
    acos(cos(2x + 30°)) = acos(1/2)√3
    2x + 30° = 330°
    2x = 330° - 30°
    2x = 300°
    2x = 300° (:2)
    x₂ = 150°

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