化简:[tan(5π)/4+tan(5π)/12]/[1-tan(5π)/12]

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化简:[tan(5π)/4+tan(5π)/12]/[1-tan(5π)/12]

化简:[tan(5π)/4+tan(5π)/12]/[1-tan(5π)/12]
化简:[tan(5π)/4+tan(5π)/12]/[1-tan(5π)/12]

化简:[tan(5π)/4+tan(5π)/12]/[1-tan(5π)/12]
[tan(5π)/4+tan(5π)/12]/[1-tan(5π)/12]
=tan(π/4)+tan(5π)/12]/[1-tan(π/4)tan(5π)/12]
=tan(π/4+5π/12)=tan(2π/3)=-tan(π/3)=-√3