Activity
Math Words

Math words.com: Trig Identities

For Students 9th - 10th Standards
This MathWords.com site lists the equations for all of the trigonometric identities.
Unknown Type
Khan Academy

Khan Academy: Algebra Ii: Use the Pythagorean Identity

For Students 9th - 10th Standards
Given the sine (or cosine) of an angle, find its cosine (or sine) using the Pythagorean identity. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
Unit Plan
CK-12 Foundation

Ck 12: Algebra: Solving Equations Using the Pythagorean Theorem

For Students 9th - 10th
[Free Registration/Login may be required to access all resource tools.] Use the Pythagorean Theorem to find a right triangle's missing side lengths.
Handout
Purple Math

Purplemath: Trigonometric Identities

For Students 9th - 10th Standards
Lists the basic trigonometric identities, and specifies the set of trig identities to keep track of, as being the most useful ones for calculus.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: F Tf Trigonometric Ratios and the Pythagorean Theorem

For Teachers 9th - 10th Standards
The purpose of this task is to use the Pythagorean Theorem to establish a fundamental trigonometric identity for an acute angle. The reasoning behind this identity is then applied to calculate a cosine for a given obtuse angle. Aligns...
Activity
Analyze Math

Analyze Math: Trigonometric Identities

For Students 9th - 10th Standards
Learners explore trigonometric identities. Definitions of the Pythagorean, reciprocal, tangent, and negative identities are included.
Activity
Math Medics

S.o.s. Math: Table of Trigonometric Identities

For Students 9th - 10th Standards
This tutorial highlights the numerous trigonometric identites (but does not define the basic trigonometric functions).
Activity
Other

Brown Math: A 10 Minute Trig Review

For Students 9th - 10th Standards
Looking for a 10-minute review of the major concepts of trigonometry? This site is a quick recap of degrees and radians, SOH CAH TOA, Pythagorean identities, and special right triangles are all found here.
Handout
Other

Mathway: Trigonometry Formulas

For Students 9th - 10th Standards
Resource provides trigonometry formulas for unit circle, reciprocal identities, ratio identities, Pythagorean identities, sum and difference formulas, and double-angle formulas.
Unit Plan
CK-12 Foundation

Ck 12: Trigonometry: Pythagorean Theorem for Solving Right Triangles

For Students 10th - 12th Standards
[Free Registration/Login may be required to access all resource tools.] This lesson applies the trigonometric ratios and their inverses to real-life situations.
Unit Plan
CK-12 Foundation

Ck 12: Algebra: Pythagorean Theorem and Its Converse

For Students 9th - 10th
[Free Registration/Login may be required to access all resource tools.] Determine if three side lengths make a right triangle, and given the length of its legs, find the length of a right triangle's hypotenuse.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: A Apr Trina's Triangles

For Teachers 9th - 10th Standards
In this task, young scholars investigate polynomial identities in order to generate Pythagorean triples. Aligns with A-APR.C.4.
Handout
Other

Dans Math: Lessons: Trigonometry

For Students 9th - 10th
College professor Dan Bach reviews basic trig concepts, including trig functions, right triangles, circles, radians, and polar coordinates. Site includes animated graphs and detailed examples.
Lesson Plan
TeachEngineering

Teach Engineering: Handheld Trigonometry

For Teachers 9th - 10th Standards
In addition to understanding the concept of similar right triangles and how they apply to trigonometric ratios, students explore a clinometer app, and discover how it can be used to test the mathematics underpinning trigonometry.
Activity
University of Saskatchewan (Canada)

University of Saskatchewan: Trigonometric Functions

For Students 9th - 10th Standards
This site examines the six trigonometric functions from a right triangle point of view. Provides information, examples, and lots of exercises for understanding.
Activity
Other

Karl's Calculus Tutor: Trigonometric Functions

For Students 9th - 10th Standards
Great application of trig and introduction to the trig functions. Also found here are the Law of Sines and Law of Cosines as well as other trig topics to review.
Interactive
Mangahigh

Mangahigh: Pyramid Panic: Basic Shapes to Advanced Geometry

For Students 9th - 10th Standards
Guide a mummy safely through the burial chambers of a pyramid as you solve length and area problems in basic to advanced geometry. There are four game zones that deal with circles and triangles, quadrilaterals, the Pythagorean Theorem,...
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: F Tf Calculations With Sine and Cosine

For Teachers 9th - 10th Standards
The goal of this task is to study some values of sin x and cos x for different angles, and to look for and then explain patterns that are seen. Aligns with HSF-TF.C.8.
Handout
Windstream

Ojk's Precalculus Study Page: More Difficult Trig Equations

For Students 9th - 10th Standards
An introduction to solving trigonometric equations by using the reciprocal, negative, Pythagorean, and cofunction identities. Includes several examples and exercises with solutions at the bottom of the page.
Activity
Other

Achieve: Miniature Golf Design Task [Pdf]

For Teachers 9th - 10th
In this task students are asked to combine numerous skills to create a miniature golf hole. Students create a scale drawing of the hole, calculate the area of the hole and determine the percentage of total area used. In addition,...