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If \(\theta \in[0,2 \pi]\) satisfying the system of equations \(2 \sin ^2 \theta=\cos 2 \theta\) and \(2 \cos ^2 \theta=…

Q1

If \(\theta \in[0,2 \pi]\) satisfying the system of equations \(2 \sin ^2 \theta=\cos 2 \theta\) and \(2 \cos ^2 \theta=3 \sin \theta\). Then the sum of all real values of \(\theta\) is

[JEE Main 2025]

a

\(\frac{3 \pi}{2}\)

b

\(\pi\)

c

\(\frac{\pi}{2}\)

d

\(\frac{5 \pi}{6}\)

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