求Sin(π+π/6)Sin(2π+π/6)Sin(3π+π/6).Sin(2008π+π/6)的值
问题描述：
求Sin(π+π/6)Sin(2π+π/6)Sin(3π+π/6).Sin(2008π+π/6)的值
答
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...