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If A + B + C = 180^@, then prove that si...

If `A + B + C = 180^@`, then prove that `sin 2 A+ sin 2B + sin 2C = 4 sin A sin B sin C `

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If A+B+C =180^(@) then prove that sin 2A + sin 2B+ sin 2C = 4 sin A sin B sin C

If A+B+C=180^(@), then prove that sin2A+sin2B+sin2C=4sin A sin B sin C

Knowledge Check

  • ( sin 2A + sin 2B + sin 2C )/( sinA + sin B + sin C ) =

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

  • If A + B + C = 180^(@) , then what is sin 2A - sin 2N - sin 2C equal to ?

    A
    `-4 sin A sin B sin C`
    B
    `-4 cos A sin B cos C`
    C
    `-4 cos A cos B sin C`
    D
    `-4 sin A cos B cos C`

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    If A+B+C =pi , prove that sin 2A+sin 2B+sin 2C=4 sin Asin B sin C.

    Theorem 1:sin2A+sin2B+sin2C=4sin A sin B sin C

    If A+B+C=pi then prove that sin2A-sin2B+sin2C=4cos A sin B cos C

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

    If A+B+C=pi , prove that : sin2A+sin2B+sin2C=4sinA sinB sinC

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