In a right triangle, one angle measures $x^{\circ}$ where $\sin x^{\circ}=\large\frac{3}{5}$. What is $\tan (90^{\circ}-x)$ ?

Question

$\begin{array}{1 1} (a)\;\frac{4}{3} \\ (b)\;\frac{4}{7} \\(c)\;\frac{1}{3} \\(d)\;\frac{2}{3}\end{array}$