tan(a+π/4)=2,则cos2a+3sin^2a+tan a=
问题描述:
tan(a+π/4)=2,则cos2a+3sin^2a+tan a=
答
tan(a+π/4)=2
tana=1/3
sin^2a=1/10
cos2a+3sin^2a+tan a
=1-2sin^2a+3sin^2a+tan a
=1+sin^2a+tan a
=1+1/10+1/3
=43/30