Matematika

Pertanyaan

jika 3 cos² 2x + 4 cos 2x - 4 = 0, nilai cos x adalah...

1 Jawaban

  • cos 2x = y
    3 y² + 4 y - 4 = 0
    (3y- 2)(y+2) = 0
    y = 2/3  ∨ y= -2
    cos  2x = 2/3  ∨ cos 2x = -2 (Tidak Memenuhi, krn -1≤ cos ax ≤ 1

    cos 2x = 2/3
    2cos² x - 1 = 2/3
    2 cos² x = 1 + 2/3 = 5/3
    cos² x = 5/6
    cos x = +_ √(5/6)
    cos x = +- 1/6 √30

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