I NEED to do this for my cal class...

this is the problem,

Solve the equation for values of x. 0 ≤ x <2(pi):
sin(x)=1-2sin^2x

Rewrite as

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

Now, let u=sin(x) and get the quadratic:

2u^{2}+u-1=0

Now, solve the quadratic and resub.