Inverse Trig Functions
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Lesson Summary:
This lesson covers the topic of inverse trigonometric functions. Inverse sine, cosine, tangent, secant, cosecant and cotangent functions are discussed, including their definitions, domains, ranges, and derivatives. The lesson also includes tables of exact values and examples for finding derivatives of compositions of inverse trig functions. Overall, this lesson provides a comprehensive overview of inverse trigonometric functions and their properties.
Lesson Description:
Early Transcendentals extra video lecture on inverse trigonometric functions.
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.
Additional Resources:
- Table of Derivatives - Table of derivatives of several different functions.
- Derivatives of Inverse Trig Functions - List of derivatives of the inverse trig functions.
Questions answered by this video:
- What are the inverse trig functions?
- What is the definition of inverse sin of x?
- What is the derivative of the inverse sin of x?
- What is the derivative of inverse cos, inverse tan, inverse sec, inverse csc, and inverse cot?
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Staff Review
A great explanation of inverse trig functions, such as inverse sin, inverse cos, and inverse tan. The derivatives of the inverse trig functions are also explained and defined. Really through explanations are provided, which really help explain why the properties are true. The inverse secant, inverse cosecant, and inverse cotangent are also covered. All of the formulas and examples are provided.
