已知f(x)=sin(5kπ/3X+π/3)周期不大于1,k≠0,k∈Z,求最小正常数K

问题描述:

已知f(x)=sin(5kπ/3X+π/3)周期不大于1,k≠0,k∈Z,求最小正常数K

f(x)的周期T=2π/(5kπ/3)=6/(5k)≤1,
则 k≥6/5=1.2.
最小正常数K=1.2