Prove that: `s e c^2theta+cos e c^2theta=cosec^2θ.sec^2θ` .

Explanation

To prove the identity \( \sec^2 \theta + \csc^2 \theta = \csc^2 \theta \sec^2 \theta \), we will start by using the definitions and relationships of the trigonometric functions involved.

### Step-by-Step Solution:

1. **Recall the definitions of secant and cosecant:**
\[ \sec^2 \theta = 1 + \tan^2 \theta \quad \text{and} \quad \csc^2 \theta = 1 + \cot^2 \theta \]
...