函数f(x)=2cos²(x-π/4)-1 的周期

问题描述:

函数f(x)=2cos²(x-π/4)-1 的周期

f(x)=2cos²(x-π/4)-1
= cos[2(x-π/4)]
= cos(π/2-2x)
= sin2x
周期=π

f(x)=2cos²(x-π/4)-1
=cos[2(x-π/4)]
=cos(2x-π/2)
=sin2x
所以T=2π/2=π