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.
Khan Academy
Khan Academy: Midline of Sinusoidal Functions From Graph
Given the graph of a sinusoidal function, determine its midline equation. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
Other
Gcse Answers' Easy Start Trigonometry
Some basic questions dealing with everyday situations where trigonometry is needed to solve the problem. Click a button for the solutions.
Illustrative Mathematics
Illustrative Mathematics: F tf.a, F bf.b.3 Exploring Sinusoidal Functions
In this task, students explore the effect that changing the parameters in a sinusoidal function has on the graph of the function. Aligns with F-TF.A and F-BF.B.3.
University of St. Andrews (UK)
University of St. Andrews: Trigonometric Functions
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.
University of St. Andrews (UK)
University of St. Andrews: Albert Girard
In trigonometry today, we use the abbreviations sin, cosine and tan. Girard was the first mathematician to use these abbreviations in his work.
Khan Academy
Khan Academy: Midline of Sinusoidal Functions From Equation
Given the formula of a sinusoidal function, determine its midline equation. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
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.
Purple Math
Purplemath: Special Angle Values: 30 60 90 and 45 45 90 Triangles
Explains a simple pictorial way to remember basic reference angle values. Provides other memory aids for the values of trigonometric ratios for these "special" angle values, based on 30-60-90 triangles and 45-45-90 triangles.
CK-12 Foundation
Ck 12: Trigonometry: Angle Side Angle Triangles
[Free Registration/Login may be required to access all resource tools.] Find the unknown side of a triangle when two angles and the included side are known.
Khan Academy
Khan Academy: Start Here! Ready to Dive Into Some More Math?
This is an overview of the lesson: Students are going to derive a powerful formula which will calculate where any point (x,y) (x, y) (x,y)left parenthesis, x, comma, y, right parenthesis goes afterrotation by an angle theta theta about...
Math Open Reference
Math Open Reference: Trigonometry Functions Introduction
A complete reference guide to trigonometry functions. It provides definitions, examples, and an interactive activity that enhances further explanation. Includes links to related topics.
Purple Math
Purplemath: Quadrants and Angles
Explains how to model angles in the x,y-plane, and demonstrates how to extend the concept of trig ratios to angles larger than 90 degrees.
Purple Math
Purplemath: Trigonometric Identities
Lists the basic trigonometric identities, and specifies the set of trig identities to keep track of, as being the most useful ones for calculus.
Purple Math
Purplemath: The Unit Circle
Relates the unit circle to the method for finding trig ratios in any of the four quadrants. Demonstrates how the unit circle might be useful.
University of Maryland
Thinking Problems in Oscillations and Waves
A series of thought-provoking, multichoice questions from the University of Maryland on the topic of oscillations and waves. Equations for calculating the period of motion for masses on springs, pendulums, sounds, and waves on a string...
University of California
University of California, Davis:trig Derivatives
Use this site from the University of California, Davis to practice taking derivatives of trigonometric functions. The site begins with a list of the derivatives of each of the trig functions and then offers related problems with solutions.
Exploratorium
Exploratorium: Cross Reference: Harmonic Motion
A page which cross-references various museum exhibits pertaining to harmonic motion. Page also contains an animation depicting the sinusoidal nature of simple harmonic motion.
Other
Inverse Trigonometric Functions [Pdf]
This is a ten page selection from a math textbook that highlights the concept of inverse trigonometric functions. The book provides real world examples, worked out practice problems and numerous problems for students to attempt on their...
Interactive Mathematics
Interactive Mathematics: Vital Revision for Fourier Series
Begin your studies of the Fourier Series with this lesson. It contains information on all of the essentials of getting started, including trigonometric functions, continuity, periodic functions, and more.
Interactive Mathematics
Interactive Mathematics: Applying Trigonometric Derivatives
The applications presented here demonstrate how the derivatives of trigonometric functions are used in real world problems.
Other
University of Winnipeg: The Simple Pendulum
The periodic motion of a pendulum is described with words and equations; little conceptual emphasis. Sample problems with solutions are provided.
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