化简tan(5派/12)

分类: 作业答案 • 2021-12-18 17:05:29

问题描述：

化简tan(5派/12)

答

tan5π/12=tan(π/6+π/4)
=(tanπ/6+tanπ/4)/(1-tanπ/6*tanπ/4)
=(√3/3+1)/(1-1*√3/3)
=(√3+3)/(3-√3)
=(√3+3)^2/6
=(12+6√3)/6
=2+√3