\begin{frame} \frametitle{Derivatives of Trigonometric Functions} \begin{block}{} \begin{malign} \frac{d}{dx} \sin x &= \cos x && \frac{d}{dx} \cos x = -\sin x \end{malign} \end{block} \medskip \begin{exampleblock}{} Differentiate the \emph{cosecant} $\csc x = \frac{1}{\sin x}$: \begin{talign} \frac{d}{dx} \csc x &= \frac{d}{dx} \left( \frac{1}{\sin x} \right) \\ &\mpause[1]{= \frac{\sin x \cdot \frac{d}{dx} 1 - 1 \cdot \frac{d}{dx}\sin x}{(\sin x)^2} } \\ &\mpause[2]{= \frac{-\cos x}{\sin^2 x} } \mpause[3]{= -\csc{x}\cdot \cot x} \end{talign} \end{exampleblock} \vspace{10cm} \end{frame}