Find the number of solutions of the equa...

Find the number of solutions of the equation ` 2 sin^(2) x + sin^(2) 2x = 2 , sin 2x + cos 2x = tan x ` in ` [0, 4 pi]` satisfying the condition ` 2 cos^(2) x + sin x le 2 `.

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The correct Answer is:

8

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