Activity
Wolfram Research

Wolfram Math World: Inverse Trigonometric Functions

For Students 9th - 10th Standards
A site on inverse trigonometric functions. Contains a definition, a chart showing functions and their domains, formulas, and many links.
Unknown Type
Khan Academy

Khan Academy: Verify Inverse Functions

For Students 9th - 10th Standards
Given the formulas of two functions, compose the functions and determine whether they are inverses of each other.
Activity
Math Medics

S.o.s. Math: Inverse Functions, No Domain Restrictions

For Students 9th - 10th Standards
A good lesson explaining the inverse function and its domain. The lesson has two examples the student can examine.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: F Bf Temperatures in Degrees Fahrenheit and Celsius

For Teachers 9th - 10th
In this task involving temperature conversions, students construct a linear function given two input-output pairs, investigate the inverse of a linear function, and reason about quantities and/or solving a linear equation. Aligns with...
Activity
Purple Math

Purplemath: Inverse Functions: Definition of "Inverse" / Drawing the Inverse

For Students 9th - 10th Standards
Explains the concept of inverse functions, covers some typical exercises, and demonstrates how to find the inverse of a given function.
Unit Plan
Windstream

Ojk's Precalculus Study Page: Inverse Trig Functions

For Students 9th - 10th Standards
An introduction to the inverse trigonometric functions, concentrating on the domain restrictions, which are explained graphically. Several examples and exercises with solutions are included, as well as a quiz.
Handout
Purple Math

Purplemath: Inverses of Trigonometric Ratios

For Students 9th - 10th Standards
You know that you can take side lengths and find trig ratios, and you know you can find trig ratios (in your calculator) for angles. What is missing is a way to go from the ratios back to the original angles. And that is what "inverse...
Graphic
Analyze Math

Analyze Math: Table for the 6 Trigonometric Functions for Special Angles

For Students 9th - 10th Standards
Learners explore the special angles for the six trigonometric functions. The special angles can be used to solve trigonometry problems. The table gives the values of sine, cosine, tangent, cotangent, secant, and cosecant for special angles.
Activity
Stefan Warner and Steven R. Costenoble

Finite Mathematics & Applied Calculus: Topic Summaries: Trigonometric Functions

For Students 9th - 10th Standards
The topic summary outlines trigonometric functions. Some topics reviewed are derivatives of trigonometric functions, sine function, trigonometric identities, and indefinite integrals of trigonometric functions. The resource consists of...
Activity
University of St. Andrews (UK)

University of St. Andrews: Trigonometric Functions

For Students 9th - 10th Standards
This site from the University of Saint Andrews provides an historical look at the origins of trig functions. This site ties together mathematics and history from Hipparchus to Ptolemy to Lambert.
Activity
Texas Instruments

Texas Instruments: Swing Thing Activity Math and Science in Motion

For Teachers 6th - 8th
This activity serves as a follow-up to Activity 10 in the Explorations book, Math and Science in Motion: Activities for Middle School by Chris Brueningsen, Elisa Brueningsen, and Bill Bower (Texas Instruments Incorporated, 1997).
Handout
Paul Dawkins

Paul's Online Notes: Algebra: Inverse Functions

For Students 9th - 10th Standards
Detailed math tutorial features notes and examples that take a look at the process of finding inverse functions. It also defines one-to-one functions.
Unknown Type
University of Saskatchewan (Canada)

University of Saskatchewan: Exponential and Logarithmic Functions

For Students 9th - 10th Standards
The University of Saskatchewan's Department of Mathematics and Statistics provides high school students with online tutorials and exercises on what they deem some of the most important topics in exponential and logarithmic functions....
Unit Plan
Math Is Fun

Math Is Fun: Working With Exponents and Logarithms

For Students 9th - 10th Standards
Clearly presented explanation of how logarithms and exponents work together, the properties of logarithms, the natural logarithm and the natural exponential functions, the common logarithm, changing the base, and real-world applications...
Handout
Wolfram Research

Wolfram Math World: Trigonometric Functions

For Students 9th - 10th Standards
This site provides a listing of the trigonometric functions and their inverses. Their notation is also addressed along with links to each of the fundamental trigonometric functions.
Unknown Type
Khan Academy

Khan Academy: Algebra I: Evaluate Inverse Functions

For Students 9th - 10th Standards
Practice evaluating the inverse function of a function that is given either as a formula, or as a graph, or as a table of values. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or...
Unknown Type
Khan Academy

Khan Academy: Algebra I: Find Inverse Functions

For Students 9th - 10th Standards
Practice finding the formula of the inverse function of a given polynomial, radical, or rational function. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
Activity
Texas Instruments

Texas Instruments: Learning Pre Calculus With the Ti 89

For Teachers 9th - 10th
See examples of how to use the TI-89 in Pre-Calculus. Example topics include equations with radicals, trigonometric identities, composition of functions, and inverse functions.
Unit Plan
CK-12 Foundation

Ck 12: Analysis: Operations on Functions

For Students 9th - 10th Standards
[Free Registration/Login may be required to access all resource tools.] This lesson covers how to add, subtract, multiply, divide and compose two or more functions. Students examine guided notes, review guided practice, watch...
Handout
Other

Radford University: One to One and Inverse Functions

For Students 9th - 10th Standards
This site from the Radford University provides a concise mathematical definition of one-to-one and inverse functions.
Unit Plan
CK-12 Foundation

Ck 12: Trigonometry: Definition of Inverse Reciprocal Trig Functions

For Students 10th - 12th
[Free Registration/Login may be required to access all resource tools.] Define reciprocal function.
Unit Plan
CK-12 Foundation

Ck 12: Trigonometry: Composition of Inverse Reciprocal Trig Functions

For Students 10th - 12th Standards
[Free Registration/Login may be required to access all resource tools.] Define inverse reciprocal of trigonometric functions.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: F Bf Temperature Conversions

For Teachers 9th - 10th Standards
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.
Unit Plan
Khan Academy

Khan Academy: Intro to Inverse Trig Functions

For Students 9th - 10th Standards
Learn about arcsine, arccosine, and arctangent, and how they can be used to solve for a missing angle in right triangles.