求证(1+sin2x)/(cosx+sinx)=cosx+sinx

分类: 作业答案 • 2021-12-18 16:12:02

问题描述：

答

(1+sin2x)/(cosx+sinx)
=(sin^2x+cos^2x+2sinxcosx)/(cosx+sinx)
=(cosx+sinx)^2/(cosx+sinx)
=cosx+sinx