Prove each of the following identities :
` (tan^(2) theta)/((1+ tan^(2) theta)) + (cot^(2) theta)/((1+ cot^(2) theta)) =1 `

Explanation

To prove the identity

\[ \frac{\tan^2 \theta}{1 + \tan^2 \theta} + \frac{\cot^2 \theta}{1 + \cot^2 \theta} = 1, \]

we will start with the left-hand side (LHS) and simplify it step by step.

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