三角函数算值题1-tan^2(π/8) /tan(π/8)=tan(15)/1-tan^2(15)=
问题描述:
三角函数算值题
1-tan^2(π/8) /tan(π/8)=
tan(15)/1-tan^2(15)=
答
(1-tan^2(π/8))/tan(π/8)=2((1-tan^2(π/8))/2tan(π/8))=2(1/(2tan(π/8)/(1-tan^2(π/8))))=2/(2tan(π/8)/(1-tan^2(π/8)))=2/((tan(π/8)+tan(π/8))/(1-tan^2(π/8)))=2/(tan(π/4))=2/1=2tan(15°)/(1-tan^2...