A+B+C=2s then cos²s+cos²(s-A)+cos²(s-B)+cos²(s-c)
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sinS+sin(S-A)+sin(S-B)-sin(S-C)
{sinS-sin(S-C)}+{sin(S-A)+sin(S-B)}
2cos(2S-C)/2sin(C/2)+2sin(C/2)cos(B-A)/2
=2sinC/2[cos(A+B)/2 +cos(B-A)/2]
=2sinC/2 .[2cos(B/2)cos(A/2)]
=4cos(A/2)cos(B/2)sin(C/2)
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