The sum of all values of $\theta \in[0,2 \pi]$ satisfying $2 \sin ^2 \theta=\cos 2 \theta$ and $2 \cos ^2 \theta=3 \sin \theta$ is [JEE Main 2025, 22 Jan (Shift 2)]

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The sum of all values of \(\theta \in[0,2 \pi]\) satisfying \(2 \sin ^2 \theta=\cos 2 \theta\) and \(2 \cos ^2 \theta=3 …

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