已知函数y=sinx/2+根号3cosx/2,x属于r 求y取最大值时x的集合

y=(1/2)sinx+(√3/2)cosx=sinxcos(π/3)+cosxsin(π/3)=sin(x+π/3)当x+π/3=π/2+2kπ时,函数y(x)取最大值1x=π/6+2kπ取最大值的集合是：{x|x=π/6+2kπ,k∈Z}