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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.
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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...
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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.
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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.
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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.
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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.
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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...
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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
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Activity
Math Medics

S.o.s. Math: Inverse Hyperbolic Functions

For Students 9th - 10th Standards
This lesson has information explaining the Inverse Hyperbolic Functions. There is a worked example that the student can look over and one that the student can work and check the answer.
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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.
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Activity
Varsity Tutors

Varsity Tutors: Hotmath: Practice Problems: Inverse Trigonometric Functions

For Students 9th - 10th Standards
Sixteen problems present a variety of practice working with inverse trigonometric functions. They are given with each step to the solution cleverly revealed one at a time. You can work each step of the problem then click the "View...
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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.
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Website
eFunda

Taylor Series Expansions of Inverse Hyperbolic Functions

For Students 9th - 10th Standards
This site gives the student the Taylor Series expansions for the various Inverse Hyperbolic Functions. The site has links to related topics.
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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.
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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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Graphic
Math Medics

S.o.s. Math: Inverse Functions With Restricted Domains

For Students 9th - 10th Standards
This math lesson allows you to look at inverse functions to decide which parts are one-to-one and which parts are not one-to-one.
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Activity
Math Medics

S.o.s. Math: Inverse Funtions, Domain Restrictions

For Students 9th - 10th Standards
Good lesson explaining the inverse function with domain redsrictions and giving an example.
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Handout
Math Medics

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

For Students 9th - 10th Standards
This lesson gives an example of an inverse function with no domain restrictions.
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Unit Plan
CK-12 Foundation

Ck 12: Analysis: Inverse Properties of Logarithms

For Students 10th - 12th
[Free Registration/Login may be required to access all resource tools.] This lesson explains the inverse properties of a logarithmic function. Students examine guided notes, review guided practice and attempt practice problems.
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Graphic
BBC

Bbc: Functions

For Students 9th - 10th Standards
This resource takes a look at graphs of functions, composite functions, inverse functions and how to use completing the square to solve quadratic functions. A number of examples and a practice test are offered.
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Activity
Paul Dawkins

Paul's Online Notes: Algebra: Graphing and Functions

For Students 9th - 10th Standards
Students investigate functions and graphing. Topics examined are lines, circles, graphing functions, inverse functions, and combining functions. Class notes, definitions, and examples with detailed solutions are included. The class notes...
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Unknown Type
McGraw Hill

Mc Graw Hill: Inverse Variation [Pdf]

For Students 9th - 10th Standards
This is a page on inverse variation taken from a textbook. Contains a definition, examples, and practice problems with answers.
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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.
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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...

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