已知tanx=x,tany=y,且|x|≠|y|,则sin(x+y)/(x+y)-sin(x-y)/(x-y)=

来源:学生作业帮助网 编辑:六六作业网 时间:2024/11/16 11:27:27
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

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
很高兴为您解答,【学习宝典】团队为您答题.
请点击下面的【选为满意回答】按钮,