(cosπ/12+sin11π/12)(cosπ/12+sin13π/12)

问题描述:

(cosπ/12+sin11π/12)(cosπ/12+sin13π/12)

(cosπ/12+sin11π/12)(cosπ/12+sin13π/12)
=(cosπ/12+sin1π/12)(cosπ/12-sin1π/12)
=(cosπ/12)^2-(sin1π/12)^2
=cosπ/6
=√3/2