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sin(A+B)=2sin(B+C)怎么化简成sinC=2sinA
题目详情
sin(A+B)=2sin(B+C)怎么化简成sinC=2sinA
▼优质解答
答案和解析
sin(A+B)=2sin(B+C)
=sin[π-(A+B)]=sinC
sin(B+C)=sin[π-(B+C)]=sinA
所以
sinC=2sinA
=sin[π-(A+B)]=sinC
sin(B+C)=sin[π-(B+C)]=sinA
所以
sinC=2sinA
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