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已知sin(x+y)/cos(x-y)=m/n,则tanx/tany=?
人气:232 ℃ 时间:2020-03-18 06:56:50
解答
要求tanx/tany则x,y≠π/2+kπ,且y≠kπ(k为整数),则cosxcosy≠0
sin(x+y)/cos(x-y)=m/n
(sinxcosy+cosxsiny)/(cosxcosy+sinxsiny)=m/n
(tanx+tany)/(1+tanxtany)=m/n(等式左边同除以cosxcosy)
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