помогитееее

[tex]sinx +cosx ^{2} \frac{x}{2} =sin^{2} \frac{x}{2} [/tex]

[tex]sin x+cos^2 \frac{x}{2}=sin^2 \frac{x}{2};[/tex]
[tex]sin x+cos^2 \frac{x}{2}-sin^2 \frac{x}{2}=0[/tex]
[tex]sin x+cos(2*\frac{x}{2})=0[/tex]
[tex]sin x+cos x=0[/tex]
[tex]\frac{1}{\sqrt{2}}sin x+\frac{1}{\sqrt{2}}cos x=0[/tex]
[tex]sin xcos \frac{\pi}{4}+sin \frac{\pi}{4}cos x=0[/tex]
[tex]sin(x+\frac{\pi}{4})=0[/tex]
[tex]x+\frac{\pi}{4}=\pi*k[/tex]
[tex]x=-\frac{\pi}{4}+\pi*k[/tex]
k є Z