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Find the number of solution of the equat...

Find the number of solution of the equation `sqrt(cos 2x+2)=(sin x + cos x)` in `[0, pi]`.

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To find the number of solutions for the equation \( \sqrt{\cos(2x) + 2} = \sin(x) + \cos(x) \) in the interval \( [0, \pi] \), we will follow these steps: ### Step 1: Square both sides We start with the equation: \[ \sqrt{\cos(2x) + 2} = \sin(x) + \cos(x) \] Squaring both sides, we get: ...
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