Prove that
` (1+(1)/(tan^(2)A))(1+(1)/(cot^(2)A))=(1)/((sin^(2)A- sin^(4)A)). `

Explanation

To prove the given identity, we start with the left-hand side (LHS) and simplify it step by step to show that it equals the right-hand side (RHS).

Given:
\[ \left(1 + \frac{1}{\tan^2 A}\right) \left(1 + \frac{1}{\cot^2 A}\right) = \frac{1}{\sin^2 A - \sin^4 A} \]

### Step-by-Step Solution:

1. **Express \(\tan A\) and \(\cot A\) in terms of \(\sin A\) and \(\cos A\):**
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