\begin{frame} \frametitle{Derivatives of Trigonometric Functions} Summary: derivatives of trigonometric Functions \begin{block}{} \begin{malign} \frac{d}{dx} \sin x &= \cos x & \frac{d}{dx} \cos x &= -\sin x \\[2ex] \frac{d}{dx} \tan x &= \frac{1}{\cos^2 x} = \sec^2 x & \frac{d}{dx} \cot x &= -\frac{1}{\sin^2 x} = -\csc^2 x \\[2ex] \frac{d}{dx} \sec x &= \sec x\cdot \tan x & \frac{d}{dx} \csc x &= -\csc x \cdot \cot x \end{malign} \end{block} \end{frame}