问题描述: 求证:(tanx+secx-1)/(tanx-secx+1)=(1+sinx)/cosx 1个回答 分类:数学 2014-11-20 问题解答: 我来补答 证明:(tanx+secx-1)/(tanx-secx+1) =(sinx-cosx+1)/(sinx+cosx-1) =(sinx-cosx+1)(sinx+cosx+1)/[(sinx+cosx-1)(sinx+cosx+1)] =2sinx(1+sinx)/(2sinxcosx) =(1+sinx)/cosx 故:(tanx+secx-1)/(tanx-secx+1)=(1+sinx)/cosx. 展开全文阅读