cos五分之π 乘以cos五分之二π

问题描述:

cos五分之π 乘以cos五分之二π
1个回答 分类:数学 2014-12-14

问题解答:

我来补答
原式=2sin(π/5)cos(π/5)cos(2π/5)/[2sin(π/5)]
=sin(2π/5)cos(2π/5)/[2sin(π/5)]
=2sin(2π/5)cos(2π/5)/[4sin(π/5)]
=sin(4π/5)/[4sin(π/5)]
=sin(π-π/5)/[4sin(π/5)]
=sin(π/5)/[4sin(π/5)]
=1/4
 
 
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