Trigonometric Functions Teacher Resources

Given the graph of a sinusoidal function, determine its amplitude.

The online assessment demonstrates knowledge of advanced mathematical concepts in Algebra II. The questions test students on trigonometric ratios in right triangles.

Students show understanding of advanced mathematical concepts in Trigonometry. The online quiz tests the scholars on verifying trigonometric identities.

This worked example can be done without trigonometry, but we do show how knowledge of 30-60-90 triangles can be helpful when evaluating trig functions.

Sixteen problems cover a variety of topic of trigonometric ratios. 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...

Worked example using trigonometry to solve for the lengths of the sides of a right triangle given one of the non-right angles.

Video about finding the equation of a trigonometric function from its graph.

The tutorial explores the graphs of the tangent, cotangent, secant, and cosecant functions. The resource consists of animations and examples.

Visualizing changes in amplitude and period for a cosine function

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.

[Free Registration/Login may be required to access all resource tools.] Defining horizontal translations of sine and cosine functions.

Very good site that acts as a tutorial/review site on Spherical Trigonometry. Many diagrams and formulas are included.

These LearningCheck files are designed to determine if students know the unit circle.

A video showing where the graphs of sin and cos intersect. [11:07]

A few more examples using SOH CAH TOA. Examples of finding sine, cosine and tangent for two different right triangles, including finding side lengths by the Pythagorean Theorem and rationalizing the denominator.

Problems address the equation of a circle, basic trignometry.

Video introducing the basic trigonometry ratios sine, cosine, and tangent.

Understanding how the amplitude and period changes as coefficients change.

[Free Registration/Login may be required to access all resource tools.] This concept teaches students to solve word problems using trigonometric ratios.

In this activity students use the CAS tool to explore sin, cos, and tan functions. They expand the functions and find the domain. They also prove the conjectures.

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.

This site, from the University of California, provides several problems from beginning differential calculus, as well as beginning integral calculus. The problems can be accessed by clicking on the link, and the information provided is...

This site gives the student the Taylor Series expansions for the various Inverse Hyperbolic Functions. The site has links to related topics.

An example and a video lesson help to explain inverse functions. [0:38]