Solve the following equation: `\ 3cos^2theta-2\ sqrt(3)sinthetacostheta-3sin^2theta=0`

Explanation

To solve the equation \( 3\cos^2\theta - 2\sqrt{3}\sin\theta\cos\theta - 3\sin^2\theta = 0 \), we can approach it as follows:

### Step 1: Rewrite the equation
We can rearrange the equation to make it easier to work with. Notice that we can express it as a quadratic equation in terms of \(\cos\theta\):

\[ 3\cos^2\theta - 2\sqrt{3}\sin\theta\cos\theta - 3\sin^2\theta = 0 \]
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