Activity
University of St. Andrews (UK)

University of St. Andrews: Trigonometric Functions

For Students 9th - 10th Standards
This site from the University of Saint Andrews provides an historical look at the origins of trig functions. This site ties together mathematics and history from Hipparchus to Ptolemy to Lambert.
Handout
Purple Math

Purplemath: Special Angle Values: 30 60 90 and 45 45 90 Triangles

For Students 9th - 10th
Explains a simple pictorial way to remember basic reference angle values. Provides other memory aids for the values of trigonometric ratios for these "special" angle values, based on 30-60-90 triangles and 45-45-90 triangles.
Lesson Plan
Khan Academy

Khan Academy: Start Here! Ready to Dive Into Some More Math?

For Students 9th - 10th
This is an overview of the lesson: Students are going to derive a powerful formula which will calculate where any point (x,y) (x, y) (x,y)left parenthesis, x, comma, y, right parenthesis goes afterrotation by an angle theta theta about...
Website
Cool Math

Coolmath: Solving Trig Equations

For Students 9th - 10th
This CoolMath resource explains how to solve trigonometric equations
Handout
Math Open Reference

Math Open Reference: Trigonometry Functions Introduction

For Students 9th - 10th Standards
A complete reference guide to trigonometry functions. It provides definitions, examples, and an interactive activity that enhances further explanation. Includes links to related topics.
Handout
Purple Math

Purplemath: Quadrants and Angles

For Students 6th - 8th Standards
Explains how to model angles in the x,y-plane, and demonstrates how to extend the concept of trig ratios to angles larger than 90 degrees.
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.
Handout
Purple Math

Purplemath: The Unit Circle

For Students 9th - 10th Standards
Relates the unit circle to the method for finding trig ratios in any of the four quadrants. Demonstrates how the unit circle might be useful.
Handout
Cut the Knot

Cut the Knot!: Analogues and Generalization of the Pythagorean Theorem

For Students 9th - 10th
This site discusses the theorems and other findings which are directly related to the fundamental Pythagorean theorem. Be sure to click on the link to information on Pythagorean theorem to find several proofs of the theorem.
Unit Plan
University of California

University of California, Davis:trig Derivatives

For Students 9th - 10th
Use this site from the University of California, Davis to practice taking derivatives of trigonometric functions. The site begins with a list of the derivatives of each of the trig functions and then offers related problems with solutions.
Website
Other

Inverse Trigonometric Functions [Pdf]

For Students 9th - 10th Standards
This is a ten page selection from a math textbook that highlights the concept of inverse trigonometric functions. The book provides real world examples, worked out practice problems and numerous problems for students to attempt on their...
Activity
Interactive Mathematics

Interactive Mathematics: Vital Revision for Fourier Series

For Students 9th - 10th
Begin your studies of the Fourier Series with this lesson. It contains information on all of the essentials of getting started, including trigonometric functions, continuity, periodic functions, and more.
Activity
Interactive Mathematics

Interactive Mathematics: Applying Trigonometric Derivatives

For Students 9th - 10th
The applications presented here demonstrate how the derivatives of trigonometric functions are used in real world problems.
Graphic
Calculator Soup

Calculator Soup: Inverse Trigonometric Function Graphs

For Students 9th - 10th
Shows images of inverse trigonometric function graphs.
Graphic
Curated OER

Math2.org: Trigonometric Graphs

For Students 9th - 10th
Sketches of the graphs of the 12 "parent," trigonometry functions are given: sine, cosine, tangent, secant, cosecant, cotangent, arcsine, arccosine, arctangent, arcsecant, arccosecant, and arccotangent.
Graphic
Curated OER

Math2.org: Trigonometric Graphs

For Students 9th - 10th
Sketches of the graphs of the 12 "parent," trigonometry functions are given: sine, cosine, tangent, secant, cosecant, cotangent, arcsine, arccosine, arctangent, arcsecant, arccosecant, and arccotangent.
Graphic
Curated OER

Math2.org: Trigonometric Graphs

For Students 9th - 10th
Sketches of the graphs of the 12 "parent," trigonometry functions are given: sine, cosine, tangent, secant, cosecant, cotangent, arcsine, arccosine, arctangent, arcsecant, arccosecant, and arccotangent.
Graphic
Curated OER

Math2.org: Trigonometric Graphs

For Students 9th - 10th
Sketches of the graphs of the 12 "parent," trigonometry functions are given: sine, cosine, tangent, secant, cosecant, cotangent, arcsine, arccosine, arctangent, arcsecant, arccosecant, and arccotangent.
Graphic
Curated OER

Math2.org: Trigonometric Graphs

For Students 9th - 10th
Sketches of the graphs of the 12 "parent," trigonometry functions are given: sine, cosine, tangent, secant, cosecant, cotangent, arcsine, arccosine, arctangent, arcsecant, arccosecant, and arccotangent.
Graphic
Curated OER

Math2.org: Trigonometric Graphs

For Students 9th - 10th
Sketches of the graphs of the 12 "parent," trigonometry functions are given: sine, cosine, tangent, secant, cosecant, cotangent, arcsine, arccosine, arctangent, arcsecant, arccosecant, and arccotangent.
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.
Handout
Wolfram Research

Wolfram Math World: Trigonometric Functions

For Students 9th - 10th Standards
This site provides a listing of the trigonometric functions and their inverses. Their notation is also addressed along with links to each of the fundamental trigonometric functions.
Activity
Wolfram Research

Wolfram Math World: Trigonometric Functions

For Students 9th - 10th Standards
This site from MathWorld.com is a site full of links to very extensive documentation on the trigonometric functions.
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.

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