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If 2sin^(2)theta=3costheta, where 0leth...

If `2sin^(2)theta=3costheta`, where `0lethetale2pi`, then find the value of `theta`.

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To solve the equation \( 2\sin^2\theta = 3\cos\theta \) for \( \theta \) in the interval \( [0, 2\pi] \), we can follow these steps: ### Step 1: Rewrite the equation We start with the equation: \[ 2\sin^2\theta = 3\cos\theta \] Using the identity \( \sin^2\theta = 1 - \cos^2\theta \), we can rewrite the equation as: ...
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