\begin{frame} \frametitle{Trigonometric Functions} \vspace{-1ex} \begin{center} \begin{minipage}{.49\textwidth}\hspace{1.5cm} \begin{tikzpicture}[default,scale=1.1] \draw (0,0) circle (1cm); \draw[fill=clred!20] (0,0) to (30:1cm) arc (30:0:1cm) -- cycle; \draw[->] (.4cm,0) arc (0:30:.4cm); \node at (15:.65cm) {$\alpha$}; \draw[dotted] (-1.2,0) -- (1.2,0); \draw[dotted] (0,-1.2) -- (0,1.2); \draw[<->] (0,-.1) -- node[below] {{\tiny radius $1$}} (1,-.1); \draw[dotted] (30:1cm) -- ({sqrt(3/4)},1.2); \draw[cgreen,<->] (0,1.2) -- node[above,inner sep=1mm] {$\cos \alpha$} ({sqrt(3/4)},1.2); \draw[dotted] (30:1cm) -- (1.2,1/2); \draw[cred,<->] (1.2,0) -- node[right,inner sep=1mm] {$\sin \alpha$} (1.2,1/2); \end{tikzpicture} \end{minipage} \begin{minipage}{.49\textwidth} \onslide<2->{ Properties of $\sin$ and $\cos$: \begin{itemize} \item domain = \alt<-2>{?}{$(-\infty,\infty)$} \item range = \alt<-2>{?}{$[-1,1]$} \end{itemize} }\onslide<3>{} \end{minipage} \end{center} \vspace{-1.5ex} \begin{center} {\small $\sin x$}\quad\scalebox{.7}{ \begin{tikzpicture}[default,baseline=0cm] \diagram{-3}{7}{-1.1}{1.3}{1} \begin{scope}[ultra thick] \draw[cred] plot[smooth,domain=-3:7,samples=300] (\x,{sin(\x*90)}); \end{scope} \diagramannotatez \diagramannotatexx{-2/$-\pi$,-1/$-\frac{\pi}{2}$,1/$\frac{\pi}{2}$,2/$\pi$,3/$\frac{3\pi}{2}$,4/$2\pi$,5/$\frac{5\pi}{2}$,6/$3\pi$} \diagramannotatey{1,-1} \end{tikzpicture}\hspace{1cm} } \end{center} \begin{center} {\small $\cos x$}\quad\scalebox{.7}{ \begin{tikzpicture}[default,baseline=0cm] \diagram{-3}{7}{-1.1}{1.3}{1} \begin{scope}[ultra thick] \draw[cgreen] plot[smooth,domain=-3:7,samples=300] (\x,{cos(\x*90)}); \end{scope} \diagramannotatez \diagramannotatexx{-2/$-\pi$,-1/$-\frac{\pi}{2}$,1/$\frac{\pi}{2}$,2/$\pi$,3/$\frac{3\pi}{2}$,4/$2\pi$,5/$\frac{5\pi}{2}$,6/$3\pi$} \diagramannotatey{1,-1} \end{tikzpicture}\hspace{1cm} } \end{center} \vspace{10cm} \end{frame}