(20°的余弦值)×(40°的余弦值)×(60°的余弦值)×(80°的...(20°的余弦值)×(40°的余弦值)×(60°的余弦值)×(80°的余弦值)=?怎么算的?

来源:学生作业帮助网 编辑:作业帮 时间:2024/07/11 06:58:00
(20°的余弦值)×(40°的余弦值)×(60°的余弦值)×(80°的...(20°的余弦值)×(40°的余弦值)×(60°的余弦值)×(80°的余弦值)=?怎么算的?
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(20°的余弦值)×(40°的余弦值)×(60°的余弦值)×(80°的...(20°的余弦值)×(40°的余弦值)×(60°的余弦值)×(80°的余弦值)=?怎么算的?
(20°的余弦值)×(40°的余弦值)×(60°的余弦值)×(80°的...
(20°的余弦值)×(40°的余弦值)×(60°的余弦值)×(80°的余弦值)=?怎么算的?

(20°的余弦值)×(40°的余弦值)×(60°的余弦值)×(80°的...(20°的余弦值)×(40°的余弦值)×(60°的余弦值)×(80°的余弦值)=?怎么算的?
教你一个简单的方法:
我们已经知道了公式:sin2a=2sinacosa
所以将cos20°cos40°cos60°cos80°先乘一个2sin20,
得sin40cos40°cos60°cos80°,再乘2
得sin80cos80cos60,再乘2
得sin160cos60
注意:我们一开始成了个sin20
因为sin160=sin20,所以最后剩下cos60,cos60=1/2
因为我们还连续乘了三个2,所以再除去,得到1/16