早教吧 育儿知识 作业答案 考试题库 百科 知识分享

cos(π/9)*cos(2π/9)*cos(3π/9)*cos(4π/9)结果不重要

题目详情
cos(π/9)*cos(2π/9)*cos(3π/9)*cos(4π/9)
结果不重要
▼优质解答
答案和解析
=sin(π/9)*cos(π/9)*cos(2π/9)*cos(3π/9)*cos(4π/9)/sin(π/9)
=sin(2π/9)cos(2π/9)*cos(3π/9)*cos(4π/9)/[2*sin(π/9)]
=sin(4π/9)*cos(3π/9)*cos(4π/9)/[4*sin(π/9)]
=sin(8π/9)*cos(3π/9)/[8*sin(π/9)]
=sin(π/9)*cos(3π/9)/[8*sin(π/9)]
=cos(3π/9)/8
=1/16