Question

Diketahui persamaan 2sin2x + 5sin x-3=0 dan -π/2 tolongggg

Answer 1

2 sin² x + 5 sin x - 3 = 0
misal sin x = y
2y² + 5y - 3 = 0
(2y - 1)(y + 3) = 0
2y - 1 = 0 atau y + 3 = 0
y = 1/2 atau y = 3

y = 1/2
sin x = 1/2
sin x = sin 30
x = 30 + k.360
k = 0 ==> x = 30
atau
x = (180 - 30) + k.360
k = 0 ==> x = 150