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If A+B+C=pi/2, show that : cotA+cotB+cot...

If `A+B+C=pi/2`, show that : `cotA+cotB+cotC=cotA cotB cotC`

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AI Generated Solution

To prove that if \( A + B + C = \frac{\pi}{2} \), then \( \cot A + \cot B + \cot C = \cot A \cot B \cot C \), we can follow these steps: ### Step 1: Express \( A + B \) in terms of \( C \) Since \( A + B + C = \frac{\pi}{2} \), we can express \( A + B \) as: \[ A + B = \frac{\pi}{2} - C \] ...
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