A quadratic equation with rational coefficients one of whose roots is $\tan \left(\frac{\pi }{12}\right)$ is

Graph of the function $f\left(x\right)=A{x}^2-BX+C$, where
$A=(\sec \theta -\cos \theta )(cosec\theta -\sin \theta )(\tan \theta +\cot \theta )$ 

$\mathrm{B}=(\sin \theta +cosec\theta {)}^2+(\cos \theta +\sec \theta {)}^2-\left({\tan }^2\theta +{\cot }^2\theta \right)\&$

$C=12$ is represented by