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

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Prove that, in triangle ABC `sin^3A cos(B-C)+sin^3B cos(C-A)+sin^3C cos(A-B)=3sinAsinBsinC` Prove that, in triangle ABC `sin^3A cos(B-C)+sin^3B cos(C-A)+sin^3C cos(A-B)=3sinAsinBsinC`
In a ` DeltaA B C ,\ ` prove that `sin^3Acos(B-C)+sin^3B cos(C-A)+sin^3\ C cos(A-B)=3\ sin A\ In a ` DeltaA B C ,\ ` prove that `sin^3Acos(B-C)+sin^3B cos(C-A)+sin^3\ C cos(A-B)=3\ sin A\
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