If $\sin x =\large\frac{5}{12}$ find the value of $2 \sec^2 x +\cot^2 x$

Question

$\begin{array}{1 1} (a)\; \large\frac{119}{288}+\frac{25}{119} \\ (b)\large\frac{288}{119}+\frac{119}{25} \\ (c)\;\large\frac{288}{\sqrt{119}}+\frac{\sqrt{119}}{25} \\ (d)\;\large\frac{25}{119}+\frac{119}{288} \end{array} $