Solve that equation : `sintheta+sin3theta+sin5theta=0.`

Explanation

To solve the equation \( \sin \theta + \sin 3\theta + \sin 5\theta = 0 \), we can follow these steps:

### Step 1: Combine the sine terms
We can use the sine addition formula to combine the sine terms. Recall that:
\[ \sin A + \sin B = 2 \sin\left(\frac{A+B}{2}\right) \cos\left(\frac{A-B}{2}\right) \]
We will first combine \( \sin 3\theta \) and \( \sin 5\theta \):
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