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....
Unit Plan
CK-12 Foundation

Ck 12: Trigonometry: Horizontal Translations or Phase Shifts

For Students 10th - 12th
[Free Registration/Login may be required to access all resource tools.] Defining horizontal translations of sine and cosine functions.
eBook
Mathigon

Mathigon: Geometry: Triangles and Trigonometry: Trigonometry

For Students 9th - 10th
This lesson focuses on trigonometry including the trigonometric functions: sine, cosine, and tangent.
Activity
Texas Instruments

Texas Instruments: Computing by Degrees!

For Teachers 9th - 10th Standards
In this activity, students use the calculator to solve trigonometry problems using sine, cosine, and tangent. They also find inverses of trigonometric functions.
Activity
Texas Instruments

Texas Instruments: "The Sound of Music"

For Teachers 9th - 10th
This activity will use tuning forks and the CBR to gather sound wave data for students to use to write Sine (or Cosine) functions. In this activity we study waves of known musical notes before studying waves of unknown musical notes. I...
Unknown Type
Khan Academy

Khan Academy: Trigonometry: Evaluate Inverse Trig Functions

For Students 9th - 10th Standards
Given a sine, cosine, or tangent value, find the principle angle that has this value. In other words, find the arcsine, arccosine, or arctangent of that value. Students receive immediate feedback and have the opportunity to try questions...
Unit Plan
CK-12 Foundation

Ck 12: Trigonometry: Vertical Translations

For Students 10th - 12th
[Free Registration/Login may be required to access all resource tools.] Define vertical translations of sine and cosine functions.
Activity
Interactive Mathematics

Interactive Mathematics: Phase Shift

For Students 9th - 10th
The tutorial investigates phase shift by examining the shapes of the sine and cosine functions. The resource consists of definitions, animations, interactive graphs, and examples. Practice problems with solutions are included.
Unit Plan
CK-12 Foundation

Ck 12: Trigonometry: Amplitude, Period, and Frequency

For Students 10th - 12th
[Free Registration/Login may be required to access all resource tools.] Combine calculations for amplitude and period on a sine or cosine graph.
Unit Plan
CK-12 Foundation

Ck 12: Trigonometry: Amplitude

For Students 10th - 12th
[Free Registration/Login may be required to access all resource tools.] Find the amplitude of a sine or cosine curve.
Unit Plan
CK-12 Foundation

Ck 12: Trigonometry: Period and Frequency

For Students 10th - 12th Standards
[Free Registration/Login may be required to access all resource tools.] Relating period and frequency for a sine or cosine graph with examples, practice problems, and vocabulary.
eBook
CK-12 Foundation

Ck 12: Algebra Ii: 4.8 Pythagorean Identities

For Students 9th - 10th Standards
This section explores the Pythagorean Identity and how it applies to right triangles set inside unit circles, in terms of sine, cosine, and tangent functions.
Activity
Wolfram Research

Wolfram Math World: Cosecant

For Students 9th - 10th Standards
Graphs of the cosecant function, both 2-dimensional and 3-dimensional. This site from Math World tells the relation between cosecant and sine. If you are not familiar with the sine function there is a link for a better understanding....
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...
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.
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

Gobierno De Navarra: Familias De Funciones Elementales

For Students 9th - 10th Standards
Visualize the different kinds of functions with these interactive activities.
Activity
Mr. Martini's Classroom

Mr. Martini's Classroom: Right Angle Trigonometry

For Students 9th - 10th Standards
Explore sine, cosine, and tangents compared to the selected angle.
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.
Whiteboard
ClassFlow

Class Flow: Trigraphs

For Teachers 9th - 10th Standards
[Free Registration/Login Required] Students use the interactive features of Activstudio to graph various functions.
Unit Plan
CK-12 Foundation

Ck 12: Trigonometry: Cosine Sum and Difference Formulas

For Students 10th - 12th Standards
[Free Registration/Login may be required to access all resource tools.] Examples, videos, and practice problems covering cosine of a sum or difference related to a set of cosine and sine functions. Here you'll learn to rewrite cosine...
Activity
Windstream

Ojk's Precalculus Study Page: Area of a Triangle

For Students 9th - 10th Standards
An introduction to finding the area of a triangle using the sine function. Includes several pictures and examples.
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
Other

Brown Math: Remembering Trig Identities

For Students 9th - 10th Standards
Faced with a large number of trigonometric identities, students tend to try to memorize them all. This site the emphasis is on understanding how the functions work and on memorizing only about a half dozen of them - all the others work...

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