Question

Himpunan penyelesaian persamaan dari 2 sin^2x + 3cos x =0 dengan Hp dari0 ≤ x ≤ 180

Answer 1

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Answer 2

2 sin^2x + 3cos x =0

2 (1-cos^2x) + 3cos x =0

2-2cos^2x +3cos x = 0

2cos^2x -3cos x -2 =0

(2cosx +1) (cosx -2) =0

2cosx +1 = 0

cosx = -1/2 dan
Cosx -2 = 0

Cosx = 2 (tidak memenuhi)

Cos x = -1/2

Cos x = cos 120

X ={120}