2sin^2 s + sin x - 1 = 0

Question

2sin^2 s + sin x - 1 = 0

Answer 1

Sinx=a
2a²+a-1=0
D=1+8=9
a1=(-1-3)/4=-1⇒sinx=-1⇒x=-π/2+2πn,n∈z
a2=(-1+3)/4=1/2⇒sinx=1/2⇒x=(-1)^k*π/6+πk,k∈z