(sin5π/12-sinπ/12)(cos5π/12+cosπ/12)=?

(sin5π/12-sinπ/12)(cos5π/12+cosπ/12)=?

(sin5π/12-sinπ/12)(cos5π/12+cosπ/12)
=(cosπ/12 - sinπ/12)(sinπ/12 + cosπ/12)
=cos²;(π/12)- sin²;(π/12)
=cos(π/6)
=(根號3)/2