Inverse of $$$y = \tan{\left(x \right)}$$$

Find the inverse of the function $$$y = \tan{\left(x \right)}$$$.

To find the inverse function, swap $$$x$$$ and $$$y$$$, and solve the resulting equation for $$$y$$$.

This means that the inverse is the reflection of the function over the line $$$y = x$$$.

If the initial function is not one-to-one, then there will be more than one inverse.

So, swap the variables: $$$y = \tan{\left(x \right)}$$$ becomes $$$x = \tan{\left(y \right)}$$$.

Now, solve the equation $$$x = \tan{\left(y \right)}$$$ for $$$y$$$.

A solution can't be found.

Can't find the inverse.

Graph: see the graphing calculator.