The value of x, where $x > 0$ and $\tan \bigg(\sec^{-1}\bigg(\large\frac{1}{x}\bigg)\bigg)$$=\sin (\tan ^{-1}2)$ is

Question

$$\begin {array} {1 1} (a)\;\sqrt 5 & \quad (b)\;\frac{\sqrt 5}{3} \\ (c)\;1 & \quad (d)\;2/3 \end {array}$$