Lawrence Hall of Science
The Math Page: Trigonometry: Graphs of the Trigonometric Functions
Here is a site that clearly and thoroughly explains how to graph each of the six trigonometric functions and determine the period, amplitude, phase shift, and vertical shift of each. There are example problems solved, problems for the...
Paul Dawkins
Paul's Online Notes: Calculus I: Review
Learners review the algebra and trigonometric skills needed in a Calculus course. Topics investigated are solving trigonometric equations, logarithmic functions, exponential functions, functions, and common graphs. Class notes,...
Varsity Tutors
Varsity Tutors: Hotmath: Practice Problems: Graphing Trigonometric Functions
Fourteen problems offer practice graphing trigonometric functions. They are given with each step to the solution cleverly revealed one at a time. You can work each step of the problem then click the "View Solution" button to check each...
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.
Math Is Fun
Math Is Fun: Sohcahtoa: Sine, Cosine, Tangent
Students learn about the relationships between sine, consine, and tangent. The tutorial consists of notes, examples, and practice problems to check for comprehension.
CK-12 Foundation
Ck 12: Trigonometry: Sum to Product Formulas for Sine and Cosine
[Free Registration/Login may be required to access all resource tools.] Examples of transforming a sum of trigonometric functions to a product of trigonometric functions.
Interactive Mathematics
Interactive Mathematics: The Inverse Trigonometric Functions
The site reviews information on inverse trigonometric functions. The main focus of the site is graphing inverse trigonometric functions including arccos, arcsin, arctan, arcsec, arccsc, and arccot. Exercises are included.
Analyze Math
Analyze Math: Unit Circle and Trigonometric Functions
The free mathematics tutorial explores the unit circle and trigonometric functions. The tutorial consists of definitions and examples with solutions. The interactive applet allows students to investigate domain, range, and asymptotes of...
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.
Analyze Math
Analyze Math: Cotangent Function
The trigonometry tutorial explores the graph of the cotangent function. The interactive tutorial explores the period, phase shift, and domain of the cotangent graph.
Analyze Math
Analyze Math: Cosecant Function
The trigonometry tutorial investigates the graph of the cosecant function. The interactive tutorial examines the period, phase shift, and range of the cosecant graph. Learners use the applet to manipulate the parameters of the cosecant...
Khan Academy
Khan Academy: Period of Sinusoidal Functions From Graph
Given the graph of a sinusoidal function, determine its period. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
University of Arizona
The University of Arizona: Modeling With Sinusoidal Functions [Pdf]
This site provides several real-world application problems that can be solved using sinusoidal functions. Students are asked to sketch, model and solve the problems.
Purple Math
Purplemath: Trigonometric Functions and Their Graphs
Explains the horizontal forms of trigonometric graphs by showing how they relate to the circular graphs.
Math Planet
Math Planet: Algebra 2: Circular Functions
Explanation of circular functions through the use of examples and a video lesson. [1:10]
Khan Academy
Khan Academy: Algebra Ii: Amplitude of Sinusoidal Functions From Graph
Given the graph of a sinusoidal function, determine its amplitude. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
Illustrative Mathematics
Illustrative Mathematics: F Tf Foxes and Rabbits 3
Students are presented with two graphs that show the populations of foxes and rabbits in a national park over a 24-month period. This is the third Foxes and Rabbits task. In this more realistic problem, students must find functions that...
Illustrative Mathematics
Illustrative Mathematics: F Tf, F if as the Wheel Turns
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.
Illustrative Mathematics
Illustrative Mathematics: F Tf Hours of Daylight 1
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...
Cengage Learning
Cengage: Inverse Trigonometric Functions [Pdf]
This site provides a presentation on inverse trigonometric functions. In the presentation students will learn to evaluate and graph the inverse sine function, other inverse trigonometric functions and the composition of trigonometric...
Purple Math
Purplemath: Graphing Trigonometric Functions
This resource explains how to relate constants in trigonometric function to amplitudes, vertical shifts, periods, and horizontal or phase shifts with the help of many solved examples for various trigonometric functions.
Khan Academy
Khan Academy: Graph Sinusoidal Functions
Given the formula of a sinusoidal function of the form a*f(bx)+d, draw its graph. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
Khan Academy
Khan Academy: Algebra Ii: Modeling With Sinusoidal Functions
Given the description of a real-world relationship, find the sinusoidal function that models it. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
Khan Academy
Khan Academy: Algebra Ii: Construct Sinusoidal Functions
Given a few features of a sinusoidal function, find its formula. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.