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The number of solutions of the equation $(2 \sin (\frac{\sin x}{2})) (\cos (\frac{\sin x}{2})) (\sin (2 \tan \frac{x}{2} \cos^{2} \frac{x}{2}) - 3) + 2 = 0 i n [0, 2 π]$ is

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answer is A.

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Detailed Solution

$\sin^{2} (\sin x) - 3 \sin (\sin x) + 2 = 0$

${\sin (\sin x) - 2} {\sin (\sin x) - 1} = 0$

Equation has no solution.

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