cos72度*cos36度

问题描述:

cos72度*cos36度
cos72°cos36°
=2sina36°cos72°cos36°/2sina36°
=sin72°cos72°/2sin36° =2sin72°cos72°/4sin36°
=sin144°/4sin36° =sin36°/4sin36° =1/4
请问怎么步骤分别是怎么得到的,用的是什么公式和过程,讲解一下,谢谢
打错了是:
cos72°cos36°
=2sin36°cos72°cos36°/2sin36°
=sin72°cos72°/2sin36° =2sin72°cos72°/4sin36°
=sin144°/4sin36° =sin36°/4sin36° =1/4

sin(2x)=2sin(x)*cos(x)
sin(x)=sin(180-x)
就这两条