Find values of `theta` satisfying `sintheta+sin5theta=sin3theta` such that `0<=theta<=pi`

Explanation

To find the values of \( \theta \) satisfying the equation \( \sin \theta + \sin 5\theta = \sin 3\theta \) within the interval \( 0 \leq \theta \leq \pi \), we can follow these steps:

### Step 1: Use the sine addition formula
We start with the equation:
\[ \sin \theta + \sin 5\theta = \sin 3\theta \]
Using the sine addition formula, we can rewrite \( \sin \theta + \sin 5\theta \) as:
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