求证tanx+tany/tanx-tany=sin(x+y)/sin(x-y)

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求证tanx+tany/tanx-tany=sin(x+y)/sin(x-y)求证tanx+tany/tanx-tany=sin(x+y)/sin(x-y)求证tanx+tany/tanx-tany=

求证tanx+tany/tanx-tany=sin(x+y)/sin(x-y)
求证tanx+tany/tanx-tany=sin(x+y)/sin(x-y)

求证tanx+tany/tanx-tany=sin(x+y)/sin(x-y)
sin(x+y)/sin(x-y)
=(sinxcosy+cosxsiny)/(sinxcosy-cosxsiny) 上下都除以cosxcosy
=(tanx+tany)/(tanx-tany)