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Sin(S-A) + sin(S-B) + sin(S-C) - sinS = 1 - cos2A - cos2B - cos2C +2cosAcosBcosC |
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Answer» ONG>ANSWER: 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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