If A+ B+C =pi, then prove that sin (B+ 2...

If A+ B+C =`pi`, then prove that `sin (B+ 2C) +sin(C +2A) +sin(A +2B)=`` 4 Sin ((B-C)/2)sin ((C-A)/2) Sin((A-B)/2) `

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`sin A/2+sin B/2+sin C/2`
`2 sin(A+B)/4cos(A-B)/4+sin c/2`
`2 sin(A+B)/4cos (A-B)/4+1-2sin^2(A+B)/4`
`[A+B+C=pi]`
...

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