已知tanθ=2,则tan(θ+π/4)= ,cos2θ=已知tanθ=2,则tan(θ+π/4)=cos2θ=

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已知tanθ=2,则tan(θ+π/4)= ,cos2θ=已知tanθ=2,则tan(θ+π/4)=cos2θ=

已知tanθ=2,则tan(θ+π/4)= ,cos2θ=已知tanθ=2,则tan(θ+π/4)=cos2θ=
已知tanθ=2,则tan(θ+π/4)= ,cos2θ=
已知tanθ=2,则tan(θ+π/4)=
cos2θ=

已知tanθ=2,则tan(θ+π/4)= ,cos2θ=已知tanθ=2,则tan(θ+π/4)=cos2θ=
解;
tan(θ+π/4)
=(tanθ+tanπ/4)/(1-tanθtanπ/4)
=(2+1)/(1-2)
=-3
cos2θ
=(cos²θ-sin²θ)/(sin²θ+cos²θ) (cos2θ除以1)
=(1-tan²θ)(tan²θ+1) (分子分母同除以cos²θ)
=(1-4)/(4+1)
=-3/5