Sin x = 1x1=arcsinpi/2+2pin x2=pi-pi/2+2pin= ? +2pinчему равен х2

Решите задачу:

$sina=1\; \; \Rightarrow \; \; x=\frac{\pi}{2}+2\pi n\; ,\; n\in Z\\\\ili\\\\x=(-1)^{n}\cdot arcsin1+\pi n=(-1)^{n}\cdot \frac{\pi}{2}+\pi n= \left [ {{\frac{\pi}{2}+2\pi n\; ,\; \; n\in Z\qquad } \atop {(\pi -\frac{\pi}{2})+2\pi n=\frac{\pi}{2}+2\pi n}} \right. =\\\\= \frac{\pi}{2}+2\pi n,\; \; n\in Z$