Prove that `cos^2 theta cosec theta+sin theta=cosec theta`

Explanation

To prove that \( \cos^2 \theta \cdot \csc \theta + \sin \theta = \csc \theta \), we will start with the left-hand side (LHS) and manipulate it to show that it equals the right-hand side (RHS).

### Step-by-Step Solution:

1. **Start with the left-hand side:**
\[ \text{LHS} = \cos^2 \theta \cdot \csc \theta + \sin \theta \]
...