jika 3cos^2 2x + 4cos2x - 4 = 0, maka cos x = ....?
Matematika
Miyapermata
Pertanyaan
jika 3cos^2 2x + 4cos2x - 4 = 0, maka cos x = ....?
1 Jawaban
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1. Jawaban hendrisyafa
p = cos 2x
3p² + 4p - 4 = 0
(3p-2)(p+2) = 0
p = ²/₃ dan p = -2
p = ²/₃
cos 2x = ²/₃
2 cos²x - 1 = ²/₃
2cos²x = ²/₃ + 1
= ⁵/₃
cos²x = ⁵/₆
cos x = √⁵/₆ atau - √⁵/₆
= ¹/₆ √30 atau - ¹/₆ √30