cos^4(π/8)-sin^4(π/8)等于?

来源:学生作业帮助网 编辑:作业帮 时间:2024/04/30 12:40:17

cos^4(π/8)-sin^4(π/8)等于?
cos^4(π/8)-sin^4(π/8)等于?

cos^4(π/8)-sin^4(π/8)等于?
cos^4(π/8)-sin^4(π/8)
[平方差公式]
=(cos^2(π/8)-sin^2(π/8))(cos^2(π/8)+sin^2(π/8))
=(cos^2(π/8)-sin^2(π/8))*1
[2倍角公式 cos^2(a)-sin^2(a)=cos2a]
=cos(π/8*2)
=cos(π/4)
=根号2/2