问题标题:
证明.(sinx+siny)/cosx-cosy=ctg(y-x)/2
问题描述:
证明.(sinx+siny)/cosx-cosy=ctg(y-x)/2
廉五州回答:
(sinx+siny)/(cosx-cosy)
=[2sin(x+y)/2cos(x-y)/2]/[-2sin(x+y)/2sin(x-y)/2]
=-[cos(x-y)/2]/[sin(x-y)/2]
=-cot(x-y)/2
=cot(y-x)/2
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