Porve that : (cosecA-sinA)(secA-cosA)`=(1)/(tanA+cotA)`

Explanation

To prove that \((\csc A - \sin A)(\sec A - \cos A) = \frac{1}{\tan A + \cot A}\), we will start with the left-hand side and simplify it step by step.

### Step 1: Write down the left-hand side
We start with the expression:
\[ LHS = (\csc A - \sin A)(\sec A - \cos A) \]

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