Решите уравнение tg2(x+ y)+ctg2( x+ y )=

$tg(2x+2y)+ctg(2x+2y) = \sqrt{\frac{2x}{x^2+1}} + 1\\ \frac{2}{sin(4x+4y)} = \sqrt{ \frac{ 2x}{x^2+1}}+1\\ sin(4x+4y) = \frac{2}{ \sqrt{\frac{2x}{x^2+1}}+1}\\ x+y=arsin(\frac{2}{\sqrt{\frac{2x}{x^2+1}}+1})\\ y=\frac{\pi\*n}{2}-\frac{arcsin( \frac{2}{\sqrt{\frac{2x}{x^2+1}}+1})}{4}-x+\frac{\pi}{4}\\ y=\frac{\pi\*n}{2}-\frac{arcsin( \frac{2}{\sqrt{\frac{2x}{x^2+1}}+1})}{4}-x$