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Prove that in any DeltaABC, a (sin B - s...

Prove that in any `DeltaABC, a (sin B - sin C) + b(sin C - sin A) + c (sin A - sin B) = 0`

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Prove that in any Delta ABC,a(sin B-sin C)+b(sin C-sin A)+c(sin A-sin B)=0

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Knowledge Check

  • In any DeltaABC, sum a^(2) (sin^2 B - sin^2 C) =

    A
    2s
    B
    `a^(2)+b^(2)+c^(2)`
    C
    0
    D
    none of these

  • If in a DeltaABC, "sinA, sin B and "sin" C are in AP, then

    A
    the altitudes are inAP
    B
    the altitudes are in HP
    C
    the angles are in AP
    D
    the angles are in HP

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    (cos A)/(sin B sin C)+(cos B)/(sin C sin A)+(cos C)/(sin A sin B)=2

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