Theoretical physicist Julian Schwinger used the mathematical process of renormalization to rid the quantum field theory developed by Paul Dirac of serious incongruities with experimental observations that had nearly prompted the...

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...

For this task, students are shown a unit circle in a plane and an angle measured from the x-axis. They must determine the coordinates of the line segment for the angle and answer a question about the sum of the coordinates. The purpose...

The purpose of this task is to help students 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...

For this task, students are give values for sin, cos, or tan, and use them to find the missing value as well as the quadrant of the angle. Aligns with HSF-TF.C.8.

The goal of this task is to study some values of sin x and cos x for different angles, and to look for and then explain patterns that are seen. Aligns with HSF-TF.C.8.

In trigonometry today, we use the abbreviations sin, cosine and tan. Girard was the first mathematician to use these abbreviations in his work.

The goal of this task is to provide a geometric explanation for the relationship between the sine and cosine of acute angles. In addition, students will need to think about the sine and cosine as functions of an angle in order to reason...

The definitions of the six trig ratios are presented here, along with several examples of how to determine the ratios given 2 or more sides of a right triangle.

BBC provides a tutorial that explains how radians are related to degrees and demonstrates how to solve trig equations in radian units. Examples and a practice test are available.

This paper, published by American Scientific Affiliation (ASA), explores the possibility of Adam and Eve's existence while addressing both the scientific and biblical-theological perspective.

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.

This tutorial presents a series of trigonometric integrals to solve using recursion or reduction formulas. Click Solution next to each formula and a popup screen provides the solution.

This site provides information on sine, cosine, and tangent. Lengths of the sides are discussed and many diagrams/tables are shown.

This is a math site on the inverse of sine. Includes charts, color graphs, formulas including the Maclaurin series, as well as links to math terms and subject areas used within the site.

Northeast Parallel Architectures Center of Syracuse University provides a quick overview of the signs of the six trigonometric functions in the four quadrants of the coordinate plane.

Northeast Parallel Architectures Center of Syracuse University provides a quick reference chart of the exact values of the sine, cosine, and tangent functions for the most common angle measrements in the first quadrant. Includes both...

Northeast Parallel Architectures Center provides a quick overview of the graphs of the six trigonometric functions, with angles measured in radians.

This Northeast Parallel Architectures Center of Syracuse University site offers a quick overview of the six trigonometric functions from the standpoint of the unit circle.

This encyclopedia article from Wikipedia explores the 1960 Pulitzer Prize winning novel by Harper Lee. The article includes a description, a plot summary, and a look at the movie adaptation and other cultural influences.

One of the Gnostic texts, this is the revelations of Adam as he revealed them to his son Seth. This was part of the Nag Hammadi library.

Through this exercise, students practice writing short phrases in Spanish and conjugating verbs in the subjunctive form as they are used in adverbial clauses. Audio is available as a guide and pop-up answers to check for verification.

The Clark University site shows and explains the graphs of the six trigonometric functions. It explains how to find an arbitrary angle measurement using trig. Also, it explains that sine and cosine functions are complementary.

This Clark University trigonometry tutorial site features questions and answers about what students can learn from trigonometry.