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2sin^2(pi/6 )+c o s e c^2((7pi)/6)cos^2(...

`2sin^2(pi/6 )+c o s e c^2((7pi)/6)cos^2(pi/3)=3/2`

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To solve the equation \( 2\sin^2\left(\frac{\pi}{6}\right) + \csc^2\left(\frac{7\pi}{6}\right) \cos^2\left(\frac{\pi}{3}\right) = \frac{3}{2} \), we will evaluate each term step by step. ### Step 1: Evaluate \( \sin\left(\frac{\pi}{6}\right) \) We know that: \[ \sin\left(\frac{\pi}{6}\right) = \frac{1}{2} \] ...
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