已知函数f=cos(2x-π/3)-cos2x1求函数f(x)的最小正周期

问题描述:

已知函数f=cos(2x-π/3)-cos2x
1求函数f(x)的最小正周期

f(x)=cos(2x-π/3)-cos2x
=cos2xcosπ/3+sin2xsinπ/3-cos2x
=√3/2*sin2x-1/2cos2x
=sin(2x-π/6)
T=2π/2=π
函数f(x)的最小正周期T=π