y=sin(x/2)-cos(x/2)求周期T?

问题描述:

y=sin(x/2)-cos(x/2)求周期T?

y=sin(x/2)-cos(x/2)
=√2[√2/2*sin(x/2)-√2/2*cos(x/2)]
=√2sin(x/2-π/4)
周期T=2π/(1/2)=4π