Sin(π+π/6)Sin(2π+π/6)Sin(3π+π/6).Sin(2008π+π/6)

题目

Sin(π+π/6)Sin(2π+π/6)Sin(3π+π/6).Sin(2008π+π/6)
求值

答案

（sinπ×cosπ/6+cosπ×sinπ/6）×（sin2π×cosπ/6+cos2π×sinπ/6）······（sin2008π×cosπ/6+cos2008π×sinπ/6）=（－sinπ/6）×sinπ/6×（－sinπ/6）×sinπ/6×·······×（－sinπ/6...