已知函数f(x)=cosx的二次方-sinx的二次方+二倍根号三sinxcosx+1

f(x)=cos2x+√3sin2x+1
=2(sin2x*√3/2+cos2x*1/2)+1
=2(sin2xcosπ/6+cos2xsinπ/6)+1
=2sin(2x+π/6)+1
所以T=2π/2=π
π/6