One of the general solutions of `sqrt(3) cos theta-3 sin theta=4 sin 2 theta cos 3 theta` is `mpi+pi/(18),m in Z` `(mpi)/2+pi/6,AAm in Z` `m` `pi/3+pi/(18),m in Z` none of these

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 Side
We start with the equation:
\[ \sqrt{3} \cos \theta - 3 \sin \theta = 4 \sin 2\theta \cos 3\theta \]
We can rewrite \( 4 \sin 2\theta \cos 3\theta \) using the identity \( 2 \sin A \cos B = \sin(A + B) + \sin(A - B) \):
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