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Solve the equation 2 (cos x+cos 2x)+sin ...

Solve the equation `2 (cos x+cos 2x)+sin 2x (1+2 cos x)=2 sin x` for `x in [-pi, pi]`.

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To solve the equation \( 2(\cos x + \cos 2x) + \sin 2x(1 + 2 \cos x) = 2 \sin x \) for \( x \) in the interval \([- \pi, \pi]\), we will follow these steps: ### Step 1: Rewrite the equation We start with the equation: \[ 2(\cos x + \cos 2x) + \sin 2x(1 + 2 \cos x) = 2 \sin x \] ...
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