y=sinx+sin(x-pi/6)=sinx+sinxcospi/6-cosxsinpi/6=sinx+根号3/2sinx-1/2cosx=(1+根号3/2)sinx-1/2cosx=根号[(1+根号3/2)^2+1/4]sin(x-m).所以,最大值=根号[(1+根号3/2)^2+1/4]=根号(1+3/4+根号3+1/4)=根号(2+根号3)...