作业帮已知tanx=x,tany=y,且|x|≠|y|,则sin(x+y)/(x+y)-sin(x-y)/(x-y)=
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已知tanx=x,tany=y,且|x|≠|y|,则sin(x+y)/(x+y)-sin(x-y)/(x-y)=
已知tanx=x,tany=y,且|x|≠|y|,则sin(x+y)/(x+y)-sin(x-y)/(x-y)=
已知tanx=x,tany=y,且|x|≠|y|,则sin(x+y)/(x+y)-sin(x-y)/(x-y)=
由题知sinx/cosx=x siny/cosy=y 也即是sinx=xcosx与siny=xcosy
原式=(sinxcosy+cosxsiny)/(x+y)-(sinxcosy-cosxsiny)/(x-y)
=(xcosxcosy+ycosxcosy)/(x+y)-(xcosxcosy-ycosxcosy)/(x-y)
=(x+y)(cosxcosy)/(x+y)-(x-y)(cosxcosy)/(x-y)
=0
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