求证tanx+tany/tanx-tany=sin(x+y)/sin(x-y)(详细步骤)
问题描述:
求证tanx+tany/tanx-tany=sin(x+y)/sin(x-y)(详细步骤)
答
(tanx+tany(/(tanx-tany)
分子分母同乘以cosxcosy:
=(sinxcosy+cosxsiny)/(sinxcosy-cosxsiny)
=sin(x+y)/sin(x-y)