question_answer

The number of ordered pairs \[(x,y)\] satisfying \[x\left( {{\sin }^{2}}x+\frac{1}{{{x}^{2}}} \right)=2\sin x{{\sin }^{2}}y,\]where \[x\in (-\pi ,0)\cup (0,\pi )\] and \[y\in [0,2\pi ]\] is

Answer:

8