Sin(120°-B/2)+Sin(60°-B/2)=2SinB,求SinB最后答案等于8分之根号39或者:根号3COS B/2=2SIN B 我求到这了

问题描述:

Sin(120°-B/2)+Sin(60°-B/2)=2SinB,求SinB
最后答案等于8分之根号39
或者:根号3COS B/2=2SIN B 我求到这了

√3cos(B/2)=2sinB
2sinB=4sin(B/2)cos(B/2)
左右的cos(B/2)抵消得
sin(B/2)=√3/4
cos(b/2)=√13/4
sinB=2sin(B/2)cos(B/2)=√39/8