Derivative of Trigonometric Function

Use the definition of the derivative to show that the derivative of $\sin{x}$ is equal to $\cos{x}$

Show that the derivative of $\cos{x}$ is equal to $-\sin{x}$

Show that the derivative of $\tan{x}$ is equal to $\sec^2{x}$

Use the quotient rule to find the derivative of $\sec{x}$