Matematika

Pertanyaan

untuk 0 ≤ x ≤ 2π , tentukan himpunan penyelesaian persmaan
a. 4 sin x = 2 √3
b. 6 cos x = 3

1 Jawaban

  • 4 sin x = 2√3
    Sin x = 2√3/4 = 1/2 √3 => sin positif dikuadran 1 dan 2
    Kuadran 1 : x = 60° = π/3
    Kuadran 2 : x = (180° - 60°) = 120° = 2π/3
    HP = {π/3, 2π/3}

    6 cos x = 3
    cos x = 3/6 = 1/2 => cos positif di kuadran 1 dan 4
    Kuadran 1 : x = 60° = π/3
    Kuadran 4 : x = (360° - 60°) = 300° = 5π/3
    HP = {π/3, 5π/3}

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