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

Explanation

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 follow these steps:

### Step 1: Convert all trigonometric functions to sine and cosine
We start with the left-hand side of the equation:
\[ 2\sin^2\left(\frac{3\pi}{4}\right) + 2\cos^2\left(\frac{\pi}{4}\right) + 2\sec^2\left(\frac{\pi}{3}\right) \]

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