Solutions of Trigonometric Equation (Jee Mains)

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Solutions of Trigonometric Equation

The number of solutions of equation $\left( {4-\sqrt 3 } \right)$ sin x $-2\sqrt 3$ cos² x = $- \frac{4}{{1 + \sqrt 3 }},x \in \left[ { - 2\pi ,\frac{{5\pi }}{2}} \right]$ is

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