sin(A+B)=2sin(B+C)怎么化简成sinC=2sinA

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sin(A+B)=2sin(B+C)怎么化简成sinC=2sinAsin(A+B)=2sin(B+C)怎么化简成sinC=2sinAsin(A+B)=2sin(B+C)怎么化简成sinC=2sinAs

sin(A+B)=2sin(B+C)怎么化简成sinC=2sinA
sin(A+B)=2sin(B+C)怎么化简成sinC=2sinA

sin(A+B)=2sin(B+C)怎么化简成sinC=2sinA
sin(A+B)=2sin(B+C)
=sin[π-(A+B)]=sinC
sin(B+C)=sin[π-(B+C)]=sinA
所以
sinC=2sinA

即sin[180-(A+B)]=2sin[180-(B+C)]
所以sinC=2sinA