(sinπ/24)(cosπ/24)(cosπ/12)
问题描述:
(sinπ/24)(cosπ/24)(cosπ/12)
答
由sin2α=2sinαcosα可得,(sinπ/24)(cosπ/24)=1/2*sinπ/12,
所以(sinπ/24)(cosπ/24)(cosπ/12) =1/2*(sinπ/12)*(cosπ/12)
=1/2*[1/2*sinπ/6]
=1/2*1/2*1/2
=1/8