If A+B+C=pi, prove that : (sin ((B+C)/(2...

If `A+B+C=pi`, prove that : `(sin ((B+C)/(2)) + sin ((C+A)/(2)) + sin( (A+B)/(2) ))` equals `(4cos ((pi-A)/(4)) cos( (pi-B)/(4)) cos((pi-C)/(4)))`.

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