Find the number of solutions of the equation \( 2 \sin ^{2} x+\sin ^{2} 2 x \) \( =2 ; \sin 2 x+...

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Find the number of solutions of the equation \( 2 \sin ^{2} x+\sin ^{2} 2 x \) \( =2 ; \sin 2 x+\cos 2 x=\tan x \) in \( [0,4 \pi] \) satisfying the condition \( 2 \cos ^{2} x+\sin x \leq 2 \)
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