The number of solutions of the equation $4 \sin ^2 x-4 \cos ^3 x+9-4 \cos x=0, x \in[-2 \pi, 2 \pi]$ is

[JEE Main 2024, 1 Feb (Shift 2)]

Question

The number of solutions of the equation $4 \sin ^2 x-4 \cos ^3 x+9-4 \cos x=0, x \in[-2 \pi, 2 \pi]$ is [JEE Main 2024, 1 Feb (Shift 2)]

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The number of solutions of the equation \(4 \sin ^2 x-4 \cos ^3 x+9-4 \cos x=0, x \in[-2 \pi, 2 \pi]\) is [JEE Main 2024…