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Prove that, in triangle ABC sin^3A cos(...

Prove that, in triangle ABC `sin^3A cos(B-C)+sin^3B cos(C-A)+sin^3C cos(A-B)=3sinAsinBsinC`

A

`3cos A cos B cos C`

B

`3 sin A sin B sin C`

C

`2 cos A cosB cosC`

D

`2 sin A sin B sin C `

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The correct Answer is:
B
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