cos2x/根号2cos(x+π/4)=1/5,0

问题描述:

cos2x/根号2cos(x+π/4)=1/5,0

(cos2x)/√2cos(x+π/4)=(cos²x-sin²x)/[√2(cosxcos(π/4)-sinxsin(π/4))]=[(cosx+sinx)(cosx-sinx)]/(cosx-sinx)=cosx+sinx=1/5即可.