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If A+B+C=(pi)/(2) ,prove that: sin 2A+"s...

If `A+B+C=(pi)/(2)` ,prove that: `sin 2A+"sin" 2B+"sin" 2C=4 cosA cos B cos C.`

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If A+B+C=pi , prove that sin 2A+sin 2B-sin 2C=4 cos A cos B sin C

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Knowledge Check

  • (sin 2A + sin 2B + sin 2C )/( cos A + cos B + cos C -1) =

    A
    `8 sin ( A//2) sin ( B //2) sin ( C //2)`
    B
    ` 8 cos ( A//2) cos ( B //2) cos ( C//2)`
    C
    `8 sin ( A //2) cos ( B //2) cos ( C //2)`
    D
    `8 cos ( A//2) sin (B//2) sin (C //2)`

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