Solve the equation `4cos^(2)theta+sqrt(3)=2(sqrt(3)+1)costheta`.

Explanation

To solve the equation \( 4\cos^2\theta + \sqrt{3} = 2(\sqrt{3} + 1)\cos\theta \), we will follow these steps:

### Step 1: Rewrite the equation
The given equation is:
\[ 4\cos^2\theta + \sqrt{3} = 2(\sqrt{3} + 1)\cos\theta \]
Expanding the right side, we have:
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