(1-tan5π/12tanπ/4)/(tan5π/12+tanπ/4)的值
问题描述:
(1-tan5π/12tanπ/4)/(tan5π/12+tanπ/4)的值
答
原式=1/[(tan5π/12+tanπ/4)/(1-tan5π/12tanπ/4)]
=1/tan(5π/12+π/4)
=1/tan(2π/3)
=1/(-√3)
=-√3/3