．The system of equations
$$
\left\{\begin{array}{l}
\operatorname{tg} x+\frac{\pi}{\operatorname{tg} x}=2 \sin \left(y+\frac{\pi}{4}\right), \\
\operatorname{tg} y+\frac{1}{\operatorname{tg} y}=2 \sin \left(x-\frac{\pi}{4}\right)
\end{array}\right.
$$

has the solution $\qquad$ $\bullet$
2. The solution to the system of equations

is $\left\{\begin{array}{l}x=2 k \pi+\frac{3 \pi}{4}, \\ y=2 k \pi-\frac{3 \pi}{4},\end{array}(k \in Z)\right.$,