Question

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

Answer 1

Verified answer

2sin² x + 3cos x = 0
2(1 - cos² x) + 3cos x = 0
2cos² x - 3cos x - 2 = 0
(2cos x + 1)(cos x - 2) = 0
2cos x + 1 = 0
cos x = -1/2
x = 120°

HP = {120°}