求证(1+sin2x)/(cosx+sinx)=cosx+sinx_数学解答

求证(1+sin2x)/(cosx+sinx)=cosx+sinx

人气：169 ℃　时间：2019-10-30 20:42:23

解答

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