§2.4 Derivatives of other trigonometric functions

Introduction

Derivatives of the cotangent, secant, and cosecant functions

Which of the following is the derivative of the secant function?

Which of the following is the derivative of the cosecant function?

Since $\tan(x) = \frac{\sin(x)}{\cos(x)}$, the domain of the tangent function consists of

For $f(x) = 5\sec(x) - 2\csc(x)$, compute the tangent slope $f'(\frac{\pi}{3})$ rounded to three decimals.

A damped oscillator has displacement $s(t) = \frac{15\sin(t)}{e^t}$ inches at time $t$ seconds. Compute the velocity $s'(2)$ rounded to two decimals.

The functions $\sec(x)$ and its derivative $\sec(x)\tan(x)$ have the same domain.