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

Explanation

To prove the identity

\[ (1 + \tan \theta + \cot \theta)(\sin \theta - \cos \theta) = \frac{\sec^2 \theta}{\csc^2 \theta} - \frac{\csc \theta}{\sec^2 \theta} \]

we will start by simplifying both sides step by step.

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