If $\theta \in [-2\pi ,2\pi ]$, then the number of solutions of $2\sqrt{2}{\cos }^{2}\theta +(2-\sqrt{6})\mathrm{cosθ}-\sqrt{3}=0$, is equal to: [JEE Main 2025, 2 Apr (Shift 1)]

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If \(\theta \in [-2\pi ,2\pi ]\), then the number of solutions of \(2\sqrt{2}{\cos }^{2}\theta +(2-\sqrt{6})\mathrm{cosθ…

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