知1+tan(θ+720°) / 1-tan(θ-360°) = 3+2根号2 求
[cos^2(π-θ)+sin(π+θ)*cos(π-θ)+2sin^2(θ-π)]* 1/cos^2(-θ-2π)的值
由已知得:(1+tanθ)/(1-tanθ)=3+2根号2,
tanθ=根号2/2
原式=[cos^2(θ)+sinθcosθ+2sin^2(θ)]/cos^2(θ)
=1+tanθ+2tan^2(θ)
=1+根号2/2+1
=2+根号2/2
知1+tan(θ+720°) / 1-tan(θ-360°) = 3+2根号2 求
[cos^2(π-θ)+sin(π+θ)*cos(π-θ)+2sin^2(θ-π)]* 1/cos^2(-θ-2π)的值
由已知得:(1+tanθ)/(1-tanθ)=3+2根号2,
tanθ=根号2/2
原式=[cos^2(θ)+sinθcosθ+2sin^2(θ)]/cos^2(θ)
=1+tanθ+2tan^2(θ)
=1+根号2/2+1
=2+根号2/2