Question

The value of $x$ which satisfies the equation $ta{n}^{-1}x=si{n}^{-1}\left(\frac{3}{\sqrt{10}}\right)$ is

Answer 1

Answer: 3

Given, $ta{n}^{-1}x=si{n}^{-1}\left[\frac{3}{\sqrt{10}}\right]$
$\Rightarrow x=tan\left\{si{n}^{-1}\left[\frac{3}{\sqrt{10}}\right]\right\}=tan\left\{ta{n}^{-1}3\right\}$
$\Rightarrow x=3$