Prove each of the following identities :
`(sin theta)/((cot theta + "cosec" theta )) - (sin theta)/((cot theta - "cosec" theta))= 2 `

Explanation

To prove the identity

\[ \frac{\sin \theta}{\cot \theta + \csc \theta} - \frac{\sin \theta}{\cot \theta - \csc \theta} = 2, \]

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

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