The Inverse Trigonometric Functions
This lesson covers the six inverse trigonometric functions: inverse sine, cosine, tangent, cotangent, secant, and cosecant. The lesson covers how to define these functions and their derivatives, as well as providing tables of values for each function. The lesson also includes examples of how to find the derivative of various functions using the product rule and chain rule. The inverse trig functions are a fundamental part of calculus and this lesson offers a thorough introduction to their properties and applications.
Inverse sine, cosine, tangent, cotangent, secant, and cosecant. Derivatives and companion indefinite integration formulas.
Copyright 2005, Department of Mathematics, University of Houston. Created by Selwyn Hollis. Find more information on videos, resources, and lessons at http://online.math.uh.edu/HoustonACT/videocalculus/index.html.
- Table of Derivatives - Table of derivatives of several different functions.
- Derivatives of Inverse Trig Functions - List of derivatives of inverse trig functions.
- What are the inverse trig functions?
- What does the inverse sin function look like?
- What is the derivative of inverse sin x?
- What are the derivatives of inverse trig functions?
- What is the integral of square root of 1/(1 - x^2)?
- What is the derivative of 1/(1 + x^2)?
-
Staff Review
This video begins by explaining what the inverse trig functions look like, behave like, and are defined as. Then, the derivatives of each inverse trig function is found and explained. A chart is shown summarizing all of the derivatives of the inverse trig functions. Then, the integrals of functions that lead to inverse trig functions are shown. Then, some example problems involving integrals are shown, which lead to inverse trig functions as the solutions. A really useful video for learning derivatives and integrals involving inverse trig.
