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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.
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.
National Council of Teachers of Mathematics
Nctm: Illuminations: Trigonometric Graphing
Explore the amplitude, period, and phase shift by examining the graphs of various trigonometric functions.
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.
CK-12 Foundation
Ck 12: Algebra Ii: 4.2 Right Triangle Trig Extended to Circles With a Model
This section explores the relationship between right triangles, circles, and trigonometry. It investigates how a right triangle that is set inside a circle and rotates around the circle is connected to trigonometric functions and their...
Math Medics
S.o.s. Math: Trigonometric Functions
Introductory lesson to trigonometric functions. Includes definitions, properties, graphs, and a wide variety of examples and practice exercises.
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.
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.
Interactive Mathematics
Interactive Mathematics: Trigonometric Functions
Just about everything you need to know about trigonometry can be found here. Interactive examples and demonstrations help to enhance the lessons. Although not required, the tutorial uses Live Math and Scientific Notebook.
Curated OER
Trig Function Point Definitions
A java applet that relates the unit circle to the graphs of the six trigonometric functions, complete with the values of the functions.
Oswego City School District
Regents Exam Prep Center: Graphs of the Inverse Trig Functions
This site reviews basic information on inverse functions and inverse notation. Graphs of inverse trig functions are shared and discussed.
William Mueller
William Mueller: Families of Functions
Meet the Function Family! Each member of the family has examples of their graphs and descriptions of the types of real-world situation that produce those graphs.
Illustrative Mathematics
Illustrative Mathematics: F Tf Trig Functions and the Unit Circle
The purpose of this task is to help learners make the connection between the graphs of sin t and cos t and the x and y coordinates of points moving around the unit circle. Students have to match coordinates of points on the graph with...
Cuemath
Cuemath: Tangent Function
A comprehensive guide for learning all about tangent functions with definitions, tangent formula, tangent meaning, range and domain of the tangent function, tan function graph, trigonometric ratios, trig identities, solved examples, and...
University of Colorado
University of Colorado: Ph Et Interactive Simulations: Trig Tour
Take a tour of trigonometry using degrees or radians! Look for patterns in the values and on the graph when you change the value of theta. Compare the graphs of sine, cosine, and tangent.
Math Medics
S.o.s. Math: Hyperbolic Functions
This math lesson gives formulas for the hyperbolic trigonometric functions, a very most important property of their version of the Pythagorean Theorem, and it's verification, and many helpful visual aides.
CK-12 Foundation
Ck 12: Trigonometry: Cosine and Secant Graphs
[Free Registration/Login may be required to access all resource tools.] Define the cosine and secant graphs using a unit circle.
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.
Illustrative Mathematics
Illustrative Mathematics: F Tf, F if as the Wheel Turns
In this task, learners 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.
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.
Interactive Mathematics
Interactive Mathematics: Graphs of Tangent, Cotangent, Secant, and Cosecant
The tutorial explores the graphs of the tangent, cotangent, secant, and cosecant functions. The resource consists of animations and examples.
Khan Academy
Khan Academy: Amplitude of Sinusoidal Functions From Graph
Given the graph of a sinusoidal function, determine its amplitude.
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.
Illustrative Mathematics
Illustrative Mathematics: F Tf, G Co, Trigonometric Identities and Rigid Motions
The purpose of this task is to apply translations and reflections to the graphs of the functions f(x)=cos x and g(x)=sin x in order to derive some trigonometric identities. There are also rotations 180 degrees about points on the x-axis...