早教吧作业答案频道 -->数学-->
求Sin(π+π/6)Sin(2π+π/6)Sin(3π+π/6).Sin(2008π+π/6)的值
题目详情
求Sin(π+π/6)Sin(2π+π/6)Sin(3π+π/6).Sin(2008π+π/6)的值
▼优质解答
答案和解析
Sin(π+π/6)Sin(2π+π/6)Sin(3π+π/6)...Sin(2008π+π/6)=Sin(π+π/6)Sin(π/6)Sin(π+π/6)...Sin(π/6)=[Sin(π+π/6)]^1004 * [Sin(π/6)]^1004
=[-Sin(π/6)]^1004* [Sin(π/6)]^1004
=[Sin(π/6)]^2004
=(1/2)^2008
=[-Sin(π/6)]^1004* [Sin(π/6)]^1004
=[Sin(π/6)]^2004
=(1/2)^2008
看了 求Sin(π+π/6)Sin...的网友还看了以下：