Matematika

Pertanyaan

Selesaikan untuk (0 < x < 2pi)
A. 2 cos 2x -1 = 0
B. 2 sin²x + 3 sin x = 0

1 Jawaban

  • Bab Trigonometri
    Matematika SMA Kelas X

    A] 2 cos 2x - 1 = 0
    2 cos 2x = 1
    cos 2x = 1/2
    2x = π/3
    x = π/6

    2x = 5π/3
    x = 5π/6

    HP = { π/6, 5π/6 }

    2] 2 sin² x + 3 sin x = 0
    sin x (2 sin x + 3) = 0
    sin x = 0
    x = 0
    x = π

    2 sin x + 3 = 0
    2 sin x = - 3
    sin x = -3/2 (tidak memenuhi)

    HP = { 0, π }

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