Analyze Math
Analyze Math: Inverse Trigonometric Functions
The mathematics tutorial examines inverse trigonometric functions. The tutorial consists of explorations and examples. The interactive applet allows students to investigate domain, range, and graphs of inverse trigonometric functions.
CK-12 Foundation
Ck 12: Trigonometry: Tangent and Cotangent Graphs
[Free Registration/Login may be required to access all resource tools.] Define the tangent and cotangent graphs using the unit circle.
CK-12 Foundation
Ck 12: Algebra Ii: 4.6 Transformations of Trigonometric Functions
Explore how changes to the equations of sine and cosine functions affect the graphs of the functions through transformations (stretches and shifts).
Illustrative Mathematics
Illustrative Mathematics: F Bf Latitude
For this task, students are presented with data about latitude and the percentage of the Earth's surface north of each latitude line. They are to use this data to sketch a graph, analyze it, and build an understanding of an invertible...
Cengage Learning
Cengage: Inverse Trigonometric Functions [Pdf]
This site provides a presentation on inverse trigonometric functions. In the presentation students will learn to evaluate and graph the inverse sine function, other inverse trigonometric functions and the composition of trigonometric...
CK-12 Foundation
Ck 12: Analysis: One to One Functions and Their Inverses
[Free Registration/Login may be required to access all resource tools.] Definition and exploration of 1 to 1 functions and their inverses
eFunda
Efunda: Trigonometric Functions
Site reviews trigonometric functions and inverse trigonometric functions. Formulas and graphs for both groups of functions are also shared.
Math Graphs
Houghton Mifflin: Math Graphs: Horizontal Line Test 3 [Pdf]
The example explores the horizontal line test and inverse functions. The handout is available in PDF format.
Math Graphs
Houghton Mifflin: Math Graphs: Horizontal Line Test 4 [Pdf]
The example explores the horizontal line test and inverse functions. The handout is available in PDF format.
CK-12 Foundation
Ck 12: 3.4 Graphs of Logs as the Inverse of Exponential Functions
This lesson explores the statement that the log functions are identified as the inverse of exponential functions. These functions will be compared visually through the graphs of both the logarithmic and exponential functions.
Lawrence Hall of Science
The Math Page: Topics in Precalculus: Logarithmic and Exponential Functions
Clearly and thoroughly explains the graphs of logarithmic and exponential functions. There are example problems solved, problems for the student to attempt, and answers to the student problems. Point this site out to students who have...
Illustrative Mathematics
Illustrative Mathematics: F if Your Father
This is a simple task which has students analyze functions where they assign a father to each student. It addresses the idea that not all functions have real numbers as domain and range values, and the issue of when a function admits an...
Illustrative Mathematics
Illustrative Mathematics: F Bf Temperature Conversions
In this task involving temperature conversions, students compose and solve functions. Unit conversion problems provide a rich source of examples for the composition of functions and for inverses. Aligns with F-BF.A.1.c and F-BF.B.4.a.
Richland Community College
Richland Community College: Math 116 Lecture Notes
This site from the Richland Community College provides the detailed lecture notes to a college algebra course, complete with equations and definitions. Content ranges from "functions and their graphs" to "conics and parametric equations."
Other
Universite De Nice Sophia Antipolis: Graphic Inverse
An introduction to the graphic inverse with many examples the student can work on-line.
Math Graphs
Houghton Mifflin: Math Graphs: Horizontal Line Test 1 [Pdf]
Learners use the horizontal line test to determine if a function is one-to-one. The problem consists of an enlarged printable version of a graph available in PDF format.
Math Graphs
Houghton Mifflin: Math Graphs: Horizontal Line Test 2 [Pdf]
Learners use the horizontal line test to determine if a function is one-to-one. The problem consists of an enlarged printable version of a graph available in PDF format.
Math Graphs
Houghton Mifflin: Math Graphs: Horizontal Line Test 5 [Pdf]
The handout examines whether the function is one-to-one by using the horizontal line test. The graph is available in PDF format.
Math Graphs
Houghton Mifflin: Math Graphs: Horizontal Line Test 6 [Pdf]
The handout examines whether the function is one-to-one by using the horizontal line test. The graph is available in PDF format.
Oswego City School District
Regents Exam Prep Center: Unit Circle
Two hands-on lab activities for instructors to use when teaching about the coordinate graphs of the sine, cosine, and tangent functions derived from a unit circle. The graphs of the reciprocals of the three functions are investigated....
Wolfram Research
Wolfram Math World: Inverse Tangent
This site is all about inverse tangents. The site includes a definition, color graphs, formulas, and many links to related terms.
Wolfram Research
Wolfram Math World: Inverse Sine
This is a math site on the inverse of sine. Includes charts, color graphs, formulas including the Maclaurin series, as well as links to math terms and subject areas used within the site.
Wolfram Research
Wolfram Mathworld: Inverse Hyperbolic Tangent
This site displays a graph of the inverse Hyperbolic Tangent, gives the algebraic formula for both the real and the complex systems, special values related to the hyperbolic tangent function, and the Maclaurin Series for this function.
Wolfram Research
Wolfram Math World: Inverse Cosine
A site that deals with inverse cosine. Article includes the definition, formulas including the Maclaurin series for the inverse cosine function, and examples, as well as numerous links to related terms.