求cos20×cos40×cos60×cos80
问题描述：
求cos20×cos40×cos60×cos80
答
cos20×cos40×cos60×cos80
=sin20×cos20×cos40×cos60×cos80/sin20
=sin40×cos40×cos60×cos80/2sin20
=sin80×cos60×cos80/4sin20
=sin160×cos60/8sin20
=sin20×cos60/8sin20
=cos60/8=1/16
因为cos60=1/2,逐步利用倍角公式