已知函数f(x)=3sin²x+2√3sinxcosx+5cos²x.{1}求函数f【x】的周期和最大值.

做过的原题f(x)=3sin^2x+2√3sinxcosx+5cos^2x =sin^2 x+2√3sinxcosx+3cos^2 x+2(sin^2 x+cos^2 x) =sin^2 x+2√3sinxcosx+(√3)^2·cos^2 x+2 =(sinx+√3cosx)^2+2 =[√(1^2+(√3)^2)·sin(x+arctan(√3/1)]^2+2 =...