Unit Plan
Oswego City School District

Regents Exam Prep Center: Unit Circle

For Students 9th - 10th Standards
Two hands-on lab activities for instructors to use when teaching about the coordinate graphs of the sine, cosine, and tangent functions derived from a unit circle. The graphs of the reciprocals of the three functions are investigated....
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.
Graphic
Curated OER

Zona Land: Trigonometry, Right Triangles

For Students 9th - 10th Standards
This site provides information on sine, cosine, and tangent. Lengths of the sides are discussed and many diagrams/tables are shown.
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.
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
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...
Unit Plan
CK-12 Foundation

Ck 12: Trigonometry: Inverse Trigonometric Functions

For Students 10th - 12th Standards
[Free Registration/Login may be required to access all resource tools.] This lesson covers the inverses of all six trig functions.
Activity
Math2

Math2: 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
Other

Technical Tutoring: Trigonometry: The Very Fast Review

For Students 9th - 10th Standards
This site is a quick review of the functions and identities in trigonometry. Very helpful site.
Graphic
Math2

Math2.org: Trigonometry Tables

For Students 9th - 10th Standards
Three trig tables are provided for student and teacher reference. The first table lists the sine, cosine, tangent, secant, cosecant, and cotangent values of all whole-number angles from 0 to 90. The radian equivalent (to four decimals)...
Activity
Other

Technical Tutoring: The Very Fast Trig Review

For Students 9th - 10th Standards
This resource is a quick review of the functions and identities in trigonometry.
Activity
University of Vienna (Austria)

Maths Online: Recognize Functions 3

For Students 9th - 10th Standards
An excellent place to test your ability to recognize the graphs of sine and cosine and their various associated forms. A Java applet is also included to plot your own function.
Activity
University of Vienna (Austria)

The Graphs of Sin, Cos, and Tan Maths Online

For Students 9th - 10th
This applet allows the user to create the graphs of sin, cos, and tan by moving a scroll bar. The user can watch the unit circle and the graph simultaneously to see how the two are related. The user may also choose to see the angle...
Activity
Varsity Tutors

Varsity Tutors: Hotmath: Practice Problems: Trigonometric Functions

For Students 9th - 10th Standards
Hotmath provides 24 practice problems relating to trigonometric functions. Each of the practice problems include a step-by-step guide for solving their function.
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.
Interactive
Government of Alberta

Learn Alberta: Exploring Similarity and Congruence

For Students 6th - 8th Standards
Begin by watching this captivating video showing how the concepts of similarity and congruence are found in road signs. Following the video [1:27], an interactive applet allows students to resize, flip, move and rotate triangles to...
Activity
Varsity Tutors

Varsity Tutors: Hotmath: Practice Problems: Graphs of Trigonometric Functions

For Students 9th - 10th Standards
Hotmath provides 20 practice problems on graphs of trigonometric functions. Each of the practice problems include a step-by-step guide for solving their graphs.
Activity
Oswego City School District

Regents Exam Prep Center: Special Right Triangles

For Students 9th - 10th
A collection of lessons, practice activities, and a teacher resource that will aid your exploration and understanding of special right triangles.
Handout
University of Guelph

University of Guelph: Trigonometry Tutorial

For Students 9th - 10th Standards
A guide to calculating trigonometric functions.
Activity
Clark University

Clark University: Dave's Short Trig Course: Trigonometric Functions

For Students 9th - 10th
The Clark University site shows and explains the graphs of the six trigonometric functions. It explains how to find an arbitrary angle measurement using trig. Also, it explains that sine and cosine functions are complementary.
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.
Activity
Windstream

Ojk's Precalculus Study Page: Double and Half Angle Formulas

For Students 9th - 10th Standards
This tutorial introduces the double-angle and half-angle formulas for sine, cosine, and tangent, and gives sample application and proof exercises. Assumes knowledge of the sum and difference formulas.
Handout
Northeast Parallel Architectures Center, Syracuse University

Npac Reu Program: Often Used Values

For Students 9th - 10th
Northeast Parallel Architectures Center of Syracuse University provides a quick reference chart of the exact values of the sine, cosine, and tangent functions for the most common angle measrements in the first quadrant. Includes both...
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.