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问题: 二倍角公式求解

cosπ/2*cos5π/12=?
(要过程)

解答:

cosπ/12*cos5π/12
= (cos(π/12-5π/12)+cos(π/12+5π/12))/2
=(cos(-4π/12)+cos(6π/12))/2
=(cos(π/3)+cos(π/2))/2
=1/4.