Find real `theta` such that `(3+2isintheta)/(1-2isintheta)`is purely real.

Explanation

To solve the problem of finding real `theta` such that \(\frac{3 + 2i \sin \theta}{1 - 2i \sin \theta}\) is purely real, we will follow these steps:

### Step 1: Write the expression
We start with the expression:
\[ z = \frac{3 + 2i \sin \theta}{1 - 2i \sin \theta} \]

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