The goal of this task is to use the unit circle and rigid transformations in order to establish some fundamental trigonometric function identities. Aligns with F-TF.A.2 and F-TF.A.4.

Why is it legal to factor 2x+2y as 2(x+y), but not x sauared +y squared as (x+y)squared? This site there are the distributive laws are separated from the distributive "mistakes," in an easy-to-understand discussion. Logarithms and trig...

Learn more about cosine functions by exploring unit circles, and angles, how to use them, and their various applications along with some solved examples and a few interactive questions to test your understanding.

Exponential identities and logarithms that are commonly used are listed on this page.

Exponential identities and logarithms that are commonly used are listed on this page.

Understand the meaning of identity using mathematical expressions in this tutorial. Complete the assessment at the end of the video to show understanding of the concept.

In this task, students are shown circle formations where an inner circle is surrounded by a set of circles and all circles are touching. In the first situation, all circles have the same diameter. In the second, the inner circle is...

For this task, students are asked to calculate the height above sea level of a lamp on top of a lighthouse that is visible to a boat, and to examine two other interpretations of the distance from the lighthouse to the boat. Aligns with...

The basic identities and properties of addition and multiplication are listed. No explanation, simply the identities.

Students explore the chemical identities of polymeric materials frequently used in their everyday lives. They learn how chemical composition affects the physical properties of the materials that they encounter and use frequently, as well...

Such social reforms brought many women to a realization of their own unequal position in society. From colonial times, unmarried women had enjoyed many of the same legal rights as men, although custom required that they marry early. With...

Explore the world of congruence in this mini-lesson. Provides a definition and examples that help with understanding its properties.

A trigonometry "cheat sheet" to use as a reference when completing trigonometry homework. Lists basic facts, properties, identities, formulas, and inverse trigonometric functions.

Extensive information on the sine function and links to the other trigonometric functions. The site includes definitions of properties of the sine function and various examples involving them. Also includes a number of real world...

A thorough review of calculus series. Links direct the student to the basic properties of series, as well as to explanations and examples of convergence tests in series. The expansions for exponential, logarithmic, and root functions and...

Introductory lesson to trigonometric functions. Includes definitions, properties, graphs, and a wide variety of examples and practice exercises.

Some molecules can be either left- or right-"handed." The left- and right-handed molecules have the same number and type of atoms, and their chemical structures look identical, but they are actually mirror images of each other. Many...

Most recipes for Thanksgiving pumpkin pies call for clove and nutmeg - two distinct spices that come from two nearly identical molecules: eugenol and isoeugenol. "The Chemical Bond Between Cloves and Nutmeg" explains how the strength and...