2. Solve the system $\left\{\begin{array}{c}\sin x \cdot \sin (x y)=-1 \\ 6 y^{2}=y \operatorname{tg}(x / 2)+1\end{array}\right.$.
Answer: $\left\{\begin{array}{c}x=\frac{3 \pi}{2}(4 t+1), \\ y=\frac{1}{3},\end{array} t \in Z\right.$.