Wave Mathematics: Trigonometric Functions

by Gary Welz, M.A./M.S.

Further Exploration

Sine Box Calculator

IES - An applet that calculates the sine value of any angle and provides a graphical representation of its occurence on the unit circle.

Math Online

University of Vienna - gallery of mathematical Java applets.

Biography

Hipparchus
Hipparchus

René Descartes
René Descartes

Classics

Commentary on the Phenomena of Aratus and Eudoxus

Picture and information of the sole surviving work of Hipparchus.

News & Events

Scientists put a light wave on hold

MSNBC

Current Science News

News from around the world of science.

Research

Wave Calculator

Google Scholar

Google - Research database allows searching of the scholarly literature.

Experiment!

Circle to a Wave

S. Waner, Hofstra U. - see an animation of the graphing of the sine wave by moving a point around the circumference of a circle.

Shape of a Wave

E. Zobel, Zona Land - Interactive applet allows you to adjust the amplitude, wavelength and shift of a wave and see how it responds.

Plato...set the mathematicians the following problem: What circular motions, uniform and perfectly regular, are to be admitted as hypotheses so that it might be possible to save the appearances presented by the heavens?

-Simplicius (490 AD -560AD)