Inside Mathematics
Hopewell Geometry
The Hopewell people of the central Ohio Valley used right triangles in the construction of earthworks. Pupils use the Pythagorean Theorem to determine missing dimensions of right triangles used by the Hopewell people. The assessment task...
Curated OER
Loyalists
Students explain why some colonists remained loyal to England during the American revolution. In this social studies lesson, students write a letter to an editor about their reasons for remaining loyal to England.
CK-12 Foundation
Ck 12: Algebra Ii: 4.5 Graphing Sine and Cosine
This section explores the graphs of sine and cosine functions. It investigates how these graphs are related to coordinates for different angles in a unit circle.
Interactive Mathematics
Interactive Mathematics: Graphs of Sine and Cosine Functions
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.
Texas Instruments
Texas Instruments: Sine and Cosine Graphs
This activity will help students identify the amplitude, period and shifts of graphs of sine and cosine using the TI-Navigator.
Texas Instruments
Texas Instruments: Sine and Cosine
This set of questions measures knowledge of amplitude, horizontal and vertical shift, and periods of sine and cosine graphs. Questions are multiple-choice and true/false; solutions are included.
Windstream
Ojk's Precalculus Study Page: Evaluating and Graphing Sine and Cosine
An introduction to graphing the sine and cosine functions by using the 30-60-90 and 45-45-90 right triangle values of the two functions as guides.
Texas Instruments
Texas Instruments: Give Me a Sine (And a Cosine) Using Ti Navigator
In this lesson, students contribute data points to build graphs of the sine and cosine functions. The transition from trig ratios to trig functions is a particularly difficult one, but it is also one where the social space of the...
Other
Personal Site: Sine and Cosine Do "The Wave"
This personal site provides a great animation of how the sine and cosine waves are formed. It connects the unit circle with the sine and cosine graph.
Windstream
Ojk's Precalculus Study Page: Translations of Sine and Cosine Curves
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.
Interactive Mathematics
Interactive Mathematics: Graphs of the Trigonometric Functions
The tutorial investigates period and frequency 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.
Oswego City School District
Regents Prep: Applications of Trigonometric Graphs
Students can use this site to practice questions dealing with trigonometric graphs. Students are challenged with multiple real-world problems and after solving those problems they can check their solution online.
University of Vienna (Austria)
Maths Online: Recognize Functions 3
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.
Clark University
Clark University: Dave's Short Trig Course: Trigonometric Functions
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.
CK-12 Foundation
Ck 12: Trigonometry: Period and Frequency
[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.
University of Vienna (Austria)
The Graphs of Sin, Cos, and Tan Maths Online
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...
Purple Math
Purplemath: Trigonometric Functions and Their Graphs
Explains the horizontal forms of trigonometric graphs by showing how they relate to the circular graphs.
Math2
Math2: Trigonometric Graphs
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.
CK-12 Foundation
Ck 12: Trigonometry: Amplitude, Period, and Frequency
[Free Registration/Login may be required to access all resource tools.] Combine calculations for amplitude and period on a sine or cosine graph.
BBC
Bbc: Radians and Equations
BBC provides a tutorial that explains how radians are related to degrees and demonstrates how to solve trig equations in radian units. Examples and a practice test are available.
Analyze Math
Analyze Math: Graphs of Basic Trigonometric Functions
The trigonometry tutorial explores the graphs of the basic trigonometric functions. The interactive tutorial investigates the range, domain, and asymptotes of the functions. The activity has several examples with detailed solutions.
McGraw Hill
Glencoe Mathematics: Mc Graw Hill Education
Learners show comprehension of advanced mathematical concepts in Trigonometry. The online quiz assesses the scholars on the graphs of the sine and cosine functions.
Math Is Fun
Math Is Fun: Graphs of Sine, Cosine and Tangent
Students learn about the graphs of the sine, cosines, and tangent functions. The tutorial consists of notes and examples.