求证.(tanx+tany)/(tanx-tany)=(sinx+siny)/(si求证.(tanx+tany)/(tanx-tany)=(sinx+siny)/(sinx-siny)

来源：学生作业帮助网 编辑：作业帮 时间：2024/05/03 02:28:31
求证.(tanx+tany)/(tanx-tany)=(sinx+siny)/(si求证.(tanx+tany)/(tanx-tany)=(sinx+siny)/(sinx-siny)

求证.(tanx+tany)/(tanx-tany)=(sinx+siny)/(si求证.(tanx+tany)/(tanx-tany)=(sinx+siny)/(sinx-siny)
求证.(tanx+tany)/(tanx-tany)=(sinx+siny)/(si
求证.(tanx+tany)/(tanx-tany)=(sinx+siny)/(sinx-siny)

求证.(tanx+tany)/(tanx-tany)=(sinx+siny)/(si求证.(tanx+tany)/(tanx-tany)=(sinx+siny)/(sinx-siny)
1、sin(x+y）/sin(x-y)
=(sinxcosy+cosxsiny)/(sinxcosy-cosxsiny) 上下都除以cosxcosy
=(tanx+tany)/(tanx-tany)
2、(tanx+tany)/(tanx-tany)
=(sinx/cosx+siny/cosy)/(sinx/cosx-siny/cosy)
=[(sinxcosy+cosxsiny)/cosxcosy]/[(sinxcosy-cosxsiny)/cosxcosy]
=(sinxcosy+cosxsiny)/(sinxcosy-cosxsiny)
=sin(x+y)/sin(x-y).

楼主，此题不成立。你带x=π/6,y=π/3去试试............

不懂，请无视

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