首页 > 留学知识库

问题: cos67.5cos22.5

为什么等于1/2sin45

解答:

 cos67.5cos22.5
= (1/2)[cos(67.5+22.5)+cos(67.5-22.5)] ...... 积化和差公式
= (1/2)(cos90+cos45)
= (1/2)(0+√2/2)
= √2/4