Solve the equation 2(cos x)^ 2=2-sin x for 0 <=x<=180

Recall the identity ((cos x)^2+(sin x)^ 2=1). Rearrange the identity to give cos x in terms of sin x. Substitute this into the equation. Rearrange so all terms are on one side of the equation and factories the highest common factor. Solve the factorized equation and check the results lie within the range.