m•n=√3sin(x/4)cos(x/4)+cos²(x/4)=(√3/2)sin(x/2)+(1/2)cos(x/2)+1/2=cos(x/2-π/3)+1/2因为向量m垂直向量n,所以cos(x/2-π/3)+1/2=0,cos(x/2-π/3)=-1/2所以cos(2π/3-X)=cos(x-2π/3)= cos2(x/2-π/3)=2 cos²(x/2-π/3)-1=-1/2.