(sina5π/12+cos5π/12)(sin5π/12-cos5π/12)
问题描述:
(sina5π/12+cos5π/12)(sin5π/12-cos5π/12)
答
(sin5π/12+cos5π/12)(sin5π/12-cos5π/12)=sin²5π/12-cos²5π/12
=(1-cos5π/6)/2-(1+cos5π/6)/2
=(1+√3/2)/2-(1-√ 3/2)/2
=√3/2