Solve: `cot\ theta/2-cottheta=cosec\ theta/2`

Explanation

To solve the equation \( \cot \frac{\theta}{2} - \cot \theta = \csc \frac{\theta}{2} \), we can follow these steps:

### Step 1: Rewrite cotangent and cosecant in terms of sine and cosine
We know that:
\[ \cot x = \frac{\cos x}{\sin x} \quad \text{and} \quad \csc x = \frac{1}{\sin x} \]
Thus, we can rewrite the equation as:
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