已知tana/2=2则tan(a+π/4)=?6sina+cosa/3sina-2cosa=?

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已知tana/2=2则tan(a+π/4)=?6sina+cosa/3sina-2cosa=?已知tana/2=2则tan(a+π/4)=?6sina+cosa/3sina-2cosa=?已知tana

已知tana/2=2则tan(a+π/4)=?6sina+cosa/3sina-2cosa=?
已知tana/2=2则tan(a+π/4)=?6sina+cosa/3sina-2cosa=?

已知tana/2=2则tan(a+π/4)=?6sina+cosa/3sina-2cosa=?
tana=2tana/2 / (1-tan^2 a/2)
=2*2/(1-2^2)
=-4/3
tan(a+π/4)=(tana+tanπ/4)/(1-tanatanπ/4)
=(-4/3+1)/(1+4/3)
=-1/7
6sina+cosa/3sina-2cosa
=(6tana+1)/(3tana-2)
=(-8+1)/(-4-2)
=7/6