Activity
Wolfram Research

Wolfram Math World: Inverse Sine

For Students 9th - 10th Standards
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.
Activity
Texas Instruments

Texas Instruments: Computing by Degrees!

For Teachers 9th - 10th Standards
In this activity, students use the calculator to solve trigonometry problems using sine, cosine, and tangent. They also find inverses of trigonometric functions.
Handout
Northeast Parallel Architectures Center, Syracuse University

Npac Reu Program: Trigonometric Functions

For Students 9th - 10th Standards
This Northeast Parallel Architectures Center of Syracuse University site offers a quick overview of the six trigonometric functions from the standpoint of the unit circle.
Activity
Interactive Mathematics

Interactive Mathematics: Derivatives of Inverse Trig Functions

For Students 9th - 10th
The formulas for working with the derivatives of inverse trigonometry functions (arccos, arcsin, etc.) are presented here, along with several examples of how to find such derivatives. The exercises allow you to work the problems before...
Activity
Interactive Mathematics

Interactive Mathematics: Trigonometric Functions

For Students 9th - 10th Standards
This is a excellent review lesson about trigonometric functions of any angle. Good examples here.
Activity
Interactive Mathematics

Interactive Mathematics: Trigonometric Functions of Any Angle

For Students 9th - 10th Standards
Given a reference angle, you can find the trigonometric functions of any angle. The process is demonstrated in this lesson and examples are provided for practicing the concept.
Handout
Oswego City School District

Regents Exam Prep Center: Algebra 2: Definition of Inverse Function

For Students 9th - 10th Standards
An introductory look at the definition of an inverse function, the notation used for inverse functions, and tests used to determine whether a function will have an inverse. Several examples are provided for the student to scroll through...
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
Texas A&M University

Wtamu Virtual Math Lab: College Algebra: Inverse Functions

For Students 9th - 10th Standards
The sample problems and solutions in this tutorial will show you what an inverse function is: how to find one, how to graph a function and its inverse, and how to determine whether a function has an inverse.
Activity
Texas Instruments

Texas Instruments: Inverse Functions

For Teachers 9th - 10th Standards
Review inverse functions with your students using this TI-83 activity. Students will find inverses of given functions, determine whether the inverse is a function, graph both, and check for symmetry through the line y=x. The lesson...
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: F if Parabolas and Inverse Functions

For Teachers 9th - 10th Standards
This task assumes an understanding of the relationship between functions and equations. Students try to solve equations in order to find the inverse of a function given in equation form: when no such solution is possible, then the...
Handout
University of Toronto (Canada)

University of Toronto: How to Graph the Inverse of a Function

For Students 9th - 10th Standards
This site explains how to graph an inverse function.
Activity
Varsity Tutors

Varsity Tutors: Hotmath: Practice Problems: Inverse Functions

For Students 9th - 10th Standards
Over thirty problems present a variety of practice with inverse functions. Solutions are provided with paid subscription.
Unit Plan
CK-12 Foundation

Ck 12: Analysis: Functions and Inverses

For Students 10th - 12th Standards
[Free Registration/Login may be required to access all resource tools.] This lesson covers how to find the inverse of a function. Students examine guided notes, review guided practice and attempt practice problems.
Handout
Oswego City School District

Regents Exam Prep Center: Graphically Represent the Inverse of a Function

For Students 9th - 10th Standards
Investigates how to graph the inverse of a function. There is also an explanation that involves the use of a graphing calculator.
Unknown Type
Khan Academy

Khan Academy: Trigonometry: Evaluate Inverse Trig Functions

For Students 9th - 10th Standards
Given a sine, cosine, or tangent value, find the principle angle that has this value. In other words, find the arcsine, arccosine, or arctangent of that value. Students receive immediate feedback and have the opportunity to try questions...
PPT
Other

Humble Isd: Determine if 2 Functions Are Inverses by Compositions [Pdf]

For Students 9th - 10th Standards
This slideshow explains how to verify by composition that two functions are inverses of each other.
Unit Plan
CK-12 Foundation

Ck 12: Analysis: One to One Functions and Their Inverses

For Students 11th - 12th
[Free Registration/Login may be required to access all resource tools.] Definition and exploration of 1 to 1 functions and their inverses
Activity
Texas Instruments

Texas Instruments: Functions, Relations, and Inverses

For Teachers 9th - 10th
This set of questions pertains to definition of functions, relations, inverses, and composition. Questions are multiple choice, true/false, and short answer. Solutions and explanations are included.
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
Analyze Math

Analyze Math: Derivative of Inverse Function

For Students 9th - 10th Standards
The tutorial explores the derivatives of inverse functions. Examples and practice exercises with solutions are included.
Handout
Purple Math

Purplemath: Proving That Two Functions Are Inverses of Each Other

For Students 9th - 10th Standards
This resource explains how to verify that two functions are inverses of each other.
Activity
Texas Instruments

Texas Instruments: The Inverse Relationship Between Pressure and Volume

For Teachers 9th - 10th
In this activity, students' will use a pressure sensor to investigate the relationship between pressure and volume for an enclosed air sample, and fit an inverse function model to the pressure versus volume data.
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.

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