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In triangle ABC, prove that sin(B+C-A)si...

In triangle ABC, prove that `sin(B+C-A)sin(C+A-B)+sin(A+B-C)=4s in As in Bs in Cdot`

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`sin(B+C-A)+sin(C+A-B)+sin(A+B-C)`
`=sin(pi-2A)+sin(pi-2B)+sin(pi-2C)`
`=sin 2A+sin 2B+sin 2C`
`=4 sin A sin B sin C`
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