Solve: `tan5theta=tan3theta`

Explanation

To solve the equation \( \tan(5\theta) = \tan(3\theta) \), we can use the property of the tangent function, which states that if \( \tan A = \tan B \), then:

\[ A = B + n\pi \quad \text{or} \quad A = B + (n\pi - \pi) \quad \text{where } n \text{ is an integer.} \]

### Step 1: Set up the equation
Given:
...