2cos(α+π/4)=2[cosαcos(π/4)-sinαsin(π/4)]=2[(√2/2)cosα-(√2/2)sinα]=√2(cosα-sinα)因为α属于(0,π/2)sinα=3/5、所以cosα=4/5所以√2(cosα-sinα)=]=√2/5 老兄、α属于(0,π/2)吧