Find the general solution of `sin5x cos 3x = sin9x cos7x`

Explanation

To find the general solution of the equation \( \sin(5x) \cos(3x) = \sin(9x) \cos(7x) \), we can follow these steps:

### Step 1: Use the product-to-sum identities
We can use the product-to-sum identities for sine and cosine:
\[ \sin A \cos B = \frac{1}{2} [\sin(A + B) + \sin(A - B)] \]
Applying this to both sides of the equation:
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