2cos(A+B)/2*sin(A-B)/2*2sin(A+B)/2*cos(A-B)/2=sinBsinC怎么化简成sin(A+B)*sin(A-B)=sinBsinC

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2cos(A+B)/2*sin(A-B)/2*2sin(A+B)/2*cos(A-B)/2=sinBsinC怎么化简成sin(A+B)*sin(A-B)=sinBsinC2cos(A+B)/2*sin

2cos(A+B)/2*sin(A-B)/2*2sin(A+B)/2*cos(A-B)/2=sinBsinC怎么化简成sin(A+B)*sin(A-B)=sinBsinC
2cos(A+B)/2*sin(A-B)/2*2sin(A+B)/2*cos(A-B)/2=sinBsinC怎么化简成sin(A+B)*sin(A-B)=sinBsinC

2cos(A+B)/2*sin(A-B)/2*2sin(A+B)/2*cos(A-B)/2=sinBsinC怎么化简成sin(A+B)*sin(A-B)=sinBsinC
倍角公式sin2x=2sinxcosx
所以左边=[2sin(A+B)/2*cos(A+B)/2][2sin(A-B)/2*cos(A-B)/2]=sin(A+B)*sin(A-B)