Trigonometric Identities Teacher Resources

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.

Worked example that uses the unit circle definition to evaluate trig functions. [11:24]

Produced by a teacher at a school in Jacksonville, FL, this video discusses whether the six trig functions are odd or even functions. [7:14]

Learn how to use trig functions to find an unknown side length in a right triangle.

In Spanish. In this interactive activity you will learn about the six trigonometric ratios, discover relationships between the trigonometric ratios of complementary and supplementary angles and the relationship between the sides of a...

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...

Navigator Activity: This is a review of the right triangle in the coordinate plane. Given two lines (2 really nice ones) the students write the equation of the 3rd line to create a right triangle. They find the vertices of the triangle...

Discover sine and cosine ratios in trigonometric ratios.

Students can use trigonometric ratios to discover the circumference of regular polygons inscribed within and circumscribed about a circle. These ratios will help approximate a value of pi.

[Free Registration/Login may be required to access all resource tools.] Six-chapter book that introduces students to trigonometry. Topics include right angles, circular functions, trigonometric identities, vectors, and polar equations.

Introduction to the Convolution. Video first defines convolution, then gives an example of the convolution of two trig functions.

Here is a site that clearly and thoroughly explains the trigonometry of a right triangle, including finding the values of all six trig functions given a single value. There are example problems solved, problems for the student to...

A continuation of the Khan Academy's series of videos on parametric equations. Presents two parametric equations and then uses trig identities to convert them into one Cartesian equation which happens to be an ellipse. By choosing and...

By the end of this section, you will be able to define normal and tension forces, apply Newton's laws of motion to solve problems involving a variety of forces, and use trigonometric identities to resolve weight into components.

[Free Registration/Login may be required to access all resource tools.] This lesson applies the trigonometric ratios and their inverses to real-life situations.

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.

This is a excellent review lesson about trigonometric functions of any angle. Good examples here.

Investigate the cosine, sine, and tangent ratios of trigonometry using this interactive Learn Alberta math resource. Students will use these ratios to determine a right triangle's unknown side or angle. Be sure to follow the link to the...

Learn how to use trigonometric functions to study waves.

The video tutorial [12:21] demonstrates solutions to problems #66-70 of California Geometry released state test questions. Problems address basic trigonometry ratios, 30-60-90 triangles.

Video introducing the basic trigonometry ratios sine, cosine, and tangent. Examples are shown for the two acute angles of a right triangle. Includes link to additional practice problems. [9:17]

Demonstrates solutions to problems #61-65 of California Geometry released state test questions. Problems address the equation of a circle, basic trigonometry. [11:04]

Begin by watching this captivating video showing how the concepts of similarity and congruence are found in road signs. Following the video [1:27], an interactive applet allows students to resize, flip, move and rotate triangles to...

In this task students are asked to combine numerous skills to create a miniature golf hole. Students create a scale drawing of the hole, calculate the area of the hole and determine the percentage of total area used. In addition,...