Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: F Tf Properties of Trigonometric Functions

For Teachers 9th - 10th Standards
The goal of this task is to use the unit circle and rigid transformations in order to establish some fundamental trigonometric function identities. Aligns with F-TF.A.2 and F-TF.A.4.
Handout
Cool Math

Coolmath: Pre Calculus Other Identities to Know

For Students 10th - 12th Standards
One page reference sheet of a quick recall of the Trig Identities.
Interactive
Government of Alberta

Learn Alberta: Math Interactives: Exploring Trig Ratios

For Students 6th - 8th
Investigate the cosine, sine, and tangent ratios of trigonometry using this interactive Learn Alberta math resource. Students will use these ratios to determine a right triangle's unknown side or angle. Be sure to follow the link to the...
Unit Plan
Vision Learning

Visionlearning: Wave Mathematics: Trigonometric Functions

For Students 9th - 10th Standards
Learn how to use trigonometric functions to study waves.
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: 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...
Handout
Purple Math

Purplemath: Basic Trigonometric Ratios: Examples

For Students 9th - 10th Standards
Demonstrates how to use trig ratios to do simple solving of triangles.
Handout
Wikimedia

Wikipedia: Trigonometric Function

For Students 9th - 10th
This page from Wikipedia, a free and open-source encyclopedia, covers how to solve a variety of trigonometric equations, most of which involve substitution with a trigonometric identity. The identities themselves are not covered, but...
Activity
Lawrence Hall of Science

The Math Page: An Approach to Calculus: Derivatives of Trig. Functions

For Students 9th - 10th
Here is a site that clearly and thoroughly explains how to find the derivative of each of the six trigonometric functions. There are example problems solved, problems for the student to attempt, and answers to the student problems. Point...
Handout
Lawrence Hall of Science

The Math Page: Trigonometry: Inverse Trigonometric Function

For Students 9th - 10th Standards
Here is a site that clearly and thoroughly explains each of the six inverse trigonometric functions. There are example problems solved, problems for the student to attempt, and answers to the student problems. Point this site out to...
Activity
Other

Karl's Calculus Tutor: Derivative of Inv. Trig Functions

For Students 9th - 10th Standards
This site provides a general overview of the derivative of inverse trig trunctions. Content includes a proof, exercises, and more.
Handout
Northeast Parallel Architectures Center, Syracuse University

Npac Reu Program: Sign (+ or ) of the Trig Functions

For Students 9th - 10th Standards
Northeast Parallel Architectures Center of Syracuse University provides a quick overview of the signs of the six trigonometric functions in the four quadrants of the coordinate plane.
Handout
Varsity Tutors

Varsity Tutors: Hotmath: Algebra Review: Trigonometric Ratios

For Students 9th - 10th Standards
Find a quick, concise explanation of the trigonometric ratios: sine, cosine and tangent. Examples are given and clearly explained.
Unknown Type
Khan Academy

Khan Academy: Find Trig Values Using Angle Addition Identities

For Students 9th - 10th Standards
Find the trigonometric values of various angles that (while they are not special angles) can be expressed as the sum or difference of special angles. Students receive immediate feedback and have the opportunity to try questions...
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: F Tf Trig Functions and the Unit Circle

For Teachers 9th - 10th Standards
The purpose of this task is to help learners make the connection between the graphs of sin t and cos t and the x and y coordinates of points moving around the unit circle. Students have to match coordinates of points on the graph with...
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.
Unit Plan
CK-12 Foundation

Ck 12: Trigonometry: Applications of Inverse Trigonometric Functions

For Students 10th - 12th Standards
[Free Registration/Login may be required to access all resource tools.] Here you'll learn how to apply inverse trig functions to solve problems you would see in real-life situations.
Unit Plan
CK-12 Foundation

Ck 12: Trigonometry: Trigonometric Functions and Angles of Rotation

For Students 10th - 12th Standards
[Free Registration/Login may be required to access all resource tools.] Describing trig functions as relationships on the unit circle.
Activity
Windstream

Ojk's Pre Calculus Study Page: The Four Other Trig Functions

For Students 9th - 10th Standards
Trigonometry ratios and their signs are given in this explanation of the other trig functions. Graphs of tangent, cotangent, secant, and cosecant are given. Examples are included.
Activity
Curated OER

Zona Land: Overlapped Graph of the Six Trig Functions

For Students 9th - 10th Standards
An overview of the six trig functions and their graphs. The site is a little difficult to navigate but is good for finding a graph of a trig function.
Graphic
Calculator Soup

Calculator Soup: Inverse Trigonometric Function Graphs

For Students 9th - 10th
Shows images of inverse trigonometric function graphs.
Graphic
Calculator Soup

Calculator Soup: Trigonometric Function Graphs F(x)

For Students 9th - 10th Standards
Images of trigonometric function graphs.
Interactive
Government of Alberta

Learn Alberta: Math Interactives: Exploring Trigonometry (Video Interactive)

For Students 6th - 9th
This multimedia Learn Alberta math resource looks at how trigonometry is used in making sure that airplanes land safely at airports. The accompanying interactive component gives students practice in using trigonometric ratios, namely...
Unit Plan
University of California

Uc Davis: Trigonometric Integrals

For Students 9th - 10th
This site lists numerous trigonometric identities and integrals. It also provides several examples of how to solve integrals.

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