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Curated OER
Trig Cheat Sheet
Your pre-calculus learners will make use of this wonderful cheat sheet that summarizes all things trigonometric. Definitions based on both the unit circle and the right triangle are included, as well as many convenient trigonometric...
Curated OER
Trigonometry Review Sheet
Get the trig facts fast, and use the review sheet as a guide in the classroom. The worksheet also includes a document version if any changes are needed to the problems. The information includes a small degree/radian chart, a graph of all...
Willow Tree
The Pythagorean Theorem
There isn't a more popular geometry formula than the Pythagorean Theorem! Learners understand the special side relationships in a right triangle. They use the Pythagorean Theorem to find missing sides and to solve problems. They begin...
West Contra Costa Unified School District
Law of Sines
One must obey the sine laws. A lesson introduces and derives the Law of Sines for non-right triangles. With examples that use the Law of Sines to determine unknown measures in triangles, the lesson checks to see if the Law...
Curated OER
Math Handbook: Trigonometry
You'll be spinning in unit circles once you read through this jumbo-sized resource of everything you need to know about trigonometry. Each page has color-coded examples with explicit directions that detail the problems and...
Wind Wise Education
What are Wind Shear and Turbulence?
Let's go fly a kite. By flying a kite, class members observe the difference in air flow. The class notices the characteristics of banners tied to the kite string to determine where wind turbulence stops. Adding an anemometer to...
Other
Sierra College: Trigonometric Identities
Provides trigonometric identities, which include fundamental identities, even-odd identities, addition formulas, double-angle formulas, subtraction formulas, product-sum formulas, and identities for sin squared and cos squared.
Purple Math
Purplemath: Proving Trigonometric Identities
An "identity" is a tautology, an equation or statement that is always true, no matter what. Proving an identity is very different in concept from solving an equation. This resource demonstrates some useful techniques for proving...
Purple Math
Purplemath: Trigonometric Identities
Lists the basic trigonometric identities, and specifies the set of trig identities to keep track of, as being the most useful ones for calculus.
Purple Math
Purplemath: Inverses of Trigonometric Ratios
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...
Cool Math
Coolmath: Pre Calculus Other Identities to Know
One page reference sheet of a quick recall of the Trig Identities.
Purple Math
Purplemath: Basic Trigonometric Ratios: Examples
Demonstrates how to use trig ratios to do simple solving of triangles.
Wikimedia
Wikipedia: Trigonometric Function
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...
Lawrence Hall of Science
The Math Page: Trigonometry: Inverse Trigonometric Function
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...
Northeast Parallel Architectures Center, Syracuse University
Npac Reu Program: Sign (+ or ) of the Trig Functions
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.
Varsity Tutors
Varsity Tutors: Hotmath: Algebra Review: Trigonometric Ratios
Find a quick, concise explanation of the trigonometric ratios: sine, cosine and tangent. Examples are given and clearly explained.
Windstream
Ojk's Precalculus Study Page: Sum and Difference Formulas for Sine and Cosine
An introduction to trigonometric identities, beginning with the sum and difference formulas. Some of the formulas are proven, some are left to the reader. Includes several examples and pictures.
Purple Math
Purplemath: Graphing Trigonometric Functions
This resource explains how to relate constants in trigonometric function to amplitudes, vertical shifts, periods, and horizontal or phase shifts with the help of many solved examples for various trigonometric functions.
Windstream
Ojk's Precalculus Study Page: Sum and Difference Formulas for Tangent
This tutorial introduces the sum and differnce formulas for tangent, and gives several examples of problems to be solved as well as proving other identities. Assumes knowledge of the sum and difference formulas for sine and cosine.
Northeast Parallel Architectures Center, Syracuse University
Npac Reu Program: Trigonometric Functions
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.
Wolfram Research
Wolfram Math World: Trigonometric Addition Formulas
This tutorial offers formulas and explanations on trigonometric addition formulas and features an easy way to remember the sine and cosine addition formulas using matrices.
Paul Dawkins
Paul's Online Notes: Derivatives of Inverse Trig Functions
Online notes with examples and solutions.
Cool Math
Coolmath: The Pythagorean Identities
A resource describing Pythagorean Identities with visuals.
Purple Math
Purplemath: Using Identities to Evaluate
Demonstrates how to evaluate trigonometric functions by using trig identities.
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