Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: F Tf, F if as the Wheel Turns

For Teachers 9th - 10th Standards
In this task, students use trigonometric functions to model the movement of a point around a wheel and through space. Students also interpret features of graphs in terms of the given real-world context. Aligns with F-TF.B.5 and F-IF.B.4.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: F Tf Hours of Daylight 1

For Teachers 9th - 10th Standards
In order to determine how effective solar panels would be at various times of the year, it is important to know the amount of daylight at a given location. Students are asked to find an appropriate function that serves as a mathematical...
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.
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Khan Academy

Khan Academy: Algebra Ii: Trig Values of Special Angles

For Students 9th - 10th Standards
Find the sine and cosine of special angles, which are angles whose trig values we can determine without the use of a calculator. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or...
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.
Unit Plan
Interactive Mathematics

Interactive Mathematics: Graphs of Sine and Cosine Functions

For Students 9th - 10th
An interactive graph provides a demonstration to show how the measure of an angle is related to the sine and cosine waves. Topics covered include amplitude and period. Examples allow students to practice the concepts.
Unit Plan
CK-12 Foundation

Ck 12: Exact Values for Inverse Sine, Cosine, and Tangent

For Students 10th - 12th Standards
[Free Registration/Login may be required to access all resource tools.] Find all angles on the unit circle matching exact trig ratios. Resource includes examples, videos, and practice problems.
Handout
Cool Math

Coolmath: The Pythagorean Identities

For Students 9th - 10th Standards
A resource describing Pythagorean Identities with visuals.
Lesson Plan
Homeschool Math

Homeschool Math: Introduction to Sine

For Teachers 8th - 9th Standards
This is an introductory lesson plan about the trigonometric function sine. Young scholars will study several similar right triangles and the ratio of certain two sides in them.
Handout
Cuemath

Cuemath: Trigonometry

For Students 9th - 10th Standards
A comprehensive guide for learning all about the basics of trigonometry, the various identities-formulas of trigonometry, solved examples, and practice questions.
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.
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
Math2

Math2.org: Trigonometry Functions

For Students 9th - 10th Standards
A complete look at trig functions. From an "overview," page giving general definitions and important vocab words, to a listing of the 12 trig functions, to an explanation of the three modes used in trigonometry, to the procedures of how...
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
Hofstra University

Hofstra University: Modeling the Sine Function

For Students 9th - 10th
Extensive information on the sine function and links to the other trigonometric functions. The site includes definitions of properties of the sine function and various examples involving them. Also includes a number of real world...
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
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
Windstream

Ojk's Precalculus Study Page: The Law of Sines

For Students 9th - 10th Standards
An introduction to solving acute and obtuse triangles by using the law of sines, including a derivation of the formula. Includes several pictures and examples.
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Windstream

Ojk's Precalculus Study Page: Trigonometry Sample Test

For Teachers 9th - 10th Standards
A practice test that covers proving trigonometric identities and solving advances trigonometric equations.
Handout
Windstream

Ojk's Precalculus Study Page: Easier Trigonometric Equations

For Students 9th - 10th Standards
An introduction to solving trigonometric equations, including finding general and particular solutions. The connection between the tangent function and the slope of a line is also covered. Includes several examples and graphs.
Activity
Windstream

Ojk's Precalculus Study Page: Translations of Sine and Cosine Curves

For Students 9th - 10th
This study tutorial covers more advanced graphing of sine and cosine functions, including horizontal and vertical translations (phase shifts and vertical shifts). Includes several examples and graphs.
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.
Handout
Windstream

Ojk's Precalculus Study Page: Geometric Representation of Complex Numbers

For Students 9th - 10th Standards
An introduction to viewing the complex plane in terms of polar coordinates. Assumes knowledge of the conversion formulas. Includes several examples and pictures.
Primary
Windstream

Ojk's Precalculus Study Page: Powers of Complex Numbers

For Students 9th - 10th Standards
An introduction to DeMoivre's Theorem for quickly finding the powers of complex numbers. Assumes knowledge of polar form of complex numbers. Includes several examples and pictures.