Solve the equation `(sqrt(3))/2sinx-cosx=cos^2x`

Explanation

To solve the equation \(\frac{\sqrt{3}}{2} \sin x - \cos x = \cos^2 x\), we will follow these steps:

### Step 1: Rearrange the equation
We start by moving \(\cos x\) to the right side of the equation:

\[ \frac{\sqrt{3}}{2} \sin x = \cos^2 x + \cos x \]
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