The number of solutions of the system of equations :
\[
\begin{aligned}
2 \sin ^{2} x+\sin ^{2} ... VIDEO
The number of solutions of the system of equations :
\[
\begin{aligned}
2 \sin ^{2} x+\sin ^{2} 2 x &=2 \\
\sin 2 x+\cos 2 x &=\tan x
\end{aligned}
\]
in \( [0,4 \pi] \) satisfying \( 2 \cos ^{2} x+\sin x \leq 2 \) is :
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