\begin{frame}
  \frametitle{Trigonometric Functions: Inverse Tangent}
  
  \begin{minipage}{.4\textwidth}
  \begin{center}
  \scalebox{.7}{
  \begin{tikzpicture}[default,baseline=0cm]
    \diagram{-1.3}{1.3}{-3}{3}{1}
    \begin{scope}[ultra thick]
    \draw[cgreen] plot[smooth,domain=-0.8:0.8,samples=300] (\x,{tan(\x*90)});
    \end{scope}
    \diagramannotatez
    \diagramannotatexx{-1/$-\frac{\pi}{2}$,1/$\frac{\pi}{2}$}
    \diagramannotatey{1,-1}
    
    \begin{scope}[cred,dashed]
    \draw (-1,-3) -- (-1,3);
    \draw (1,-3) -- (1,3);
    \end{scope}
  \end{tikzpicture}
  }\\[.5ex]
  $\tan x$ restricted to $(-\frac{\pi}{2},\frac{\pi}{2})$
  \end{center}    
  \end{minipage}\pause
  \begin{minipage}{.59\textwidth}
  \begin{center}
  \scalebox{.7}{
  \begin{tikzpicture}[default,baseline=0cm]
    \diagram{-3}{3}{-1.3}{1.3}{1}
    \begin{scope}[ultra thick]
    \draw[cgreen] plot[smooth,domain=-0.8:0.8,samples=300] ({tan(\x*90)},\x);
    \end{scope}
    \diagramannotatez
    \diagramannotatex{1,-1}
    \diagramannotateyy{-1/$-\frac{\pi}{2}$,1/$\frac{\pi}{2}$}
  \end{tikzpicture}
  }\\[.5ex]
  $\tan^{-1} x$ or $\arctan x$
  \end{center}    
  \end{minipage}
  \pause\medskip
  
  \begin{block}{}
  \begin{malign}
    \tan^{-1} y = x \;\;\iff\;\; \tan x = y \text{ and } -\frac{\pi}{2} < x < \frac{\pi}{2}
  \end{malign}
  \end{block}
  
  \pause
  The function $\arctan$ has domain \pause $(-\infty,\infty)$ and range \pause$(-\frac{\pi}{2},\frac{\pi}{2})$.
\end{frame}