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In any triangle ABC, prove that sin^3Aco...

In any triangle ABC, prove that `sin^3Acos(B-C)+sin^3Bcos(C-A)+sin^3Ccos(A-B)`=`3sinAsinBsinC`

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CENGAGE ENGLISH-TRIGONOMETRIC FUNCTIONS-All Questions
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  16. Prove that in triangle A B C ,cos^2A+cos^2B-cos^2C=1-2sinAsinBcosCdot

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