y=sin(π/2+x)*cos(π/6-x)=cosx*(cosπ/6*cosx+sinπ/6*sinx)=√3/2(cosx)^2+1/2sinx*cosx=√3/4cos2x+√3/4+1/4sin2x=1/2sin(2x+π/3)+√3/4因为sin(2x+π/3)∈（-1,1）所以函数的最大值为√3/4+1/2最小值为√3/4-...