Number of solutions of $\sqrt{3}\cos 2\theta +8\cos \theta +3\sqrt{3}=0,\theta \in [-3\pi ,2\pi ]$ is: [JEE Main 2026, 23 Jan (Shift 1)]

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Number of solutions of \(\sqrt{3}\cos 2\theta +8\cos \theta +3\sqrt{3}=0,\theta \in [-3\pi ,2\pi ]\) is: [JEE Main 2026,…