已知函数y=cos(x- π/6)[√3sin(x-π/6)+cos(x- π/6)],x∈R,求函数y的最大值以及相应的自变量x的集合

y=cos(x- π/6)[√3sin(x-π/6)+cos(x- π/6)]=2cos(x- π/6)[(√3/2)*sin(x-π/6)+(1/2)*cos(x- π/6)] （两角和的正弦公式）=2cos(x- π/6)*sin(x-π/6+π/6)=2cos(x- π/6)sinx (积化和差公式)=sin(x+x-π/6)+sin...