Find the sum of series `cosec theta+cosec 2 theta+cosec 4 theta+.......` to n terms .

Explanation

To find the sum of the series \( \csc \theta + \csc 2\theta + \csc 4\theta + \ldots \) up to \( n \) terms, we can follow these steps:

### Step 1: Rewrite Cosecant in Terms of Sine
We know that:
\[ \csc x = \frac{1}{\sin x} \]
Thus, we can express the series as:
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