Solve `sqrt(3) cos theta-3 sin theta =4 sin 2 theta cos 3 theta`.

Explanation

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

### Step 1: Rewrite the Right-Hand Side
We start by rewriting the right-hand side using the double angle identity for sine:
\[ \sin 2\theta = 2 \sin \theta \cos \theta \]
Thus, we can express \( 4 \sin 2\theta \cos 3\theta \) as:
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