Question

(cosx/2+1)(sin^2x/2+2)=0

Answer 1

$(cos \frac{x}{2} +1)(sin ^{2} \frac{x}{2} +2)=0 \\ \\ cos \frac{x}{2} =-1 \\ \\ \frac{x}{2} = \pi +2 \pi n,n\in Z \\ x=2 \pi +4 \pi n, n\in Z \\ \\ sin ^{2} \frac{x}{2} \neq -2 \\ \\ \\ \\ \\ \\ x=2 \pi +4 \pi n, n\in Z$