In a triangle ABC with $\angle C=90^{\large\circ}$ the equation whose roots are $\tan A$ and $\tan B$ is ___________

Question

$\begin{array}{1 1}(A)\;x^2-\large\frac{2}{\sin 2A}\normalsize x+1\\(B)\;x^2+\large\frac{2}{\sin 2A}\normalsize x+1\\(C)\;x^2-\large\frac{2}{\sin A}\normalsize x+1\\(D)\;x^2-\large\frac{1}{\sin 2A}\normalsize x+1\end{array}$