2sin^2(x)+sin(x)-1=0

Question

2sin^2(x)+sin(x)-1=0

Answer 1

2sin^2(x)+sin(x)-1=0

введем замену sin x= a
2a^2+a-1=0
D=1+8=9
a=-1;1/2

 sin x=-1

x=-pi/2+2pi n

sin x= 1/2
x = (-1)^n pi/6 + pi n