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

问题描述:

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