sin(3x/2)=sin(x+x/2)=sinxcos(x/2)+cosxsin(x/2)
{sin(3x/2)}/{sin(x/2)}=sinxcot(x/2)+cosx=2sin(x/2)cos(x/2)+cosx=sinx+cosx
可以看出函数y 最小正周期为2π
sin(3x/2)=sin(x+x/2)=sinxcos(x/2)+cosxsin(x/2)
{sin(3x/2)}/{sin(x/2)}=sinxcot(x/2)+cosx=2sin(x/2)cos(x/2)+cosx=sinx+cosx
可以看出函数y 最小正周期为2π