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If A+B+C= pi/2, show that : sin^2 A + si...

If `A+B+C= pi/2`, show that : `sin^2 A + sin^2 B + sin^2 C=1-2 sinA sinB sinC`

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To prove that \( \sin^2 A + \sin^2 B + \sin^2 C = 1 - 2 \sin A \sin B \sin C \) given that \( A + B + C = \frac{\pi}{2} \), we can follow these steps: ### Step 1: Express \( A + B \) Since \( A + B + C = \frac{\pi}{2} \), we can express \( A + B \) as: \[ A + B = \frac{\pi}{2} - C \] ...
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