Solve: `tan^(2)3theta=cot^(2)theta`

Explanation

To solve the equation \( \tan^2(3\theta) = \cot^2(\theta) \), we can follow these steps:

### Step 1: Rewrite the equation
We know that \( \cot(\theta) = \frac{1}{\tan(\theta)} \). Therefore, \( \cot^2(\theta) = \frac{1}{\tan^2(\theta)} \). We can rewrite the equation as:
\[ \tan^2(3\theta) = \frac{1}{\tan^2(\theta)} \]

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