If $\tan x=\large\frac{b}{a}$,then find the value of $\sqrt{\large\frac{a+b}{a-b}}+\sqrt{\frac{a-b}{a+b}}$

Question

$\begin{array}{1 1}(A)\;\large\frac{2\cos x}{\sqrt{\cos 2x}}&(B)\;\large\frac{2\sin x}{\sqrt{\cos 2x}}\\(C)\;\large\frac{4\cos x}{\sqrt{\cos x}}&(D)\;\text{None of these}\end{array} $