sin(A+B)=2sin(B+C)怎么化简成sinC=2sinA
问题描述:
sin(A+B)=2sin(B+C)怎么化简成sinC=2sinA
答
即sin[180-(A+B)]=2sin[180-(B+C)]
所以sinC=2sinA
答
sin(A+B)=2sin(B+C)
=sin[π-(A+B)]=sinC
sin(B+C)=sin[π-(B+C)]=sinA
所以
sinC=2sinA