如果sin(x+y)/sin(x-y)=m/n,则tany/tanx的值为?有助于回答者给出准确的答案

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如果sin(x+y)/sin(x-y)=m/n,则tany/tanx的值为?
有助于回答者给出准确的答案

sin(x+y)/sin(x-y)=m/n
(sinxcosy+cosxsiny)/(sinxcosy-cosxsiny)=m/n
上下同除以sinxcosy
(1+tany/tanx)/(1-tany/tanx)=m/n
n(1+tany/tanx)=m(1-tany/tanx)
(m+n)tany/tanx=m-n
tany/tanx=(m-n)/(m+n)