Question

2Cos²(x-π) + 3Sin*(π+x)=0

Answer 1

2COS^2X - 3SINX = 0
2*(1 - sin^2x) - 3sinx = 0
2sin^2x + 3sinx - 2 = 0
D = 9 + 4*2*2 = 25
x1 = (-3 - 5)/4
x1 = -2
x2 = (-3 + 5)/4
x2 = 1/2