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.



René Descartes
René Descartes


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


Current Science News

News from around the world of science.


Wave Calculator

Google Scholar

Google - Research database allows searching of the scholarly literature.


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)