Solve: `tan2thetacottheta=1`

Explanation

To solve the equation \( \tan(2\theta) \cot(\theta) = 1 \), we can follow these steps:

### Step 1: Rewrite the equation
We start with the equation:
\[ \tan(2\theta) \cot(\theta) = 1 \]
We can rewrite \( \cot(\theta) \) as \( \frac{1}{\tan(\theta)} \):
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