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2sin^(2)(3pi)/(4) + 2cos^(2)pi/4+2sec^(2...

`2sin^(2)(3pi)/(4) + 2cos^(2)pi/4+2sec^(2)pi/3=10`

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To solve the equation \(2\sin^2\left(\frac{3\pi}{4}\right) + 2\cos^2\left(\frac{\pi}{4}\right) + 2\sec^2\left(\frac{\pi}{3}\right) = 10\), we will evaluate each term step by step. ### Step 1: Evaluate \( \sin^2\left(\frac{3\pi}{4}\right) \) Using the identity \( \sin\left(\pi - x\right) = \sin x \), we can write: \[ \sin\left(\frac{3\pi}{4}\right) = \sin\left(\pi - \frac{\pi}{4}\right) = \sin\left(\frac{\pi}{4}\right) \] ...
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