Play with the 'Unit Circle' definition and how it relates to the graphs

[Run the Applet]
Note:  This applet uses a farily recent version of Java. As many browsers are not yet up to date, it is set up to use
         Sun's Plug-in for Java (and will prompt you with how to install it if you don't already have it).

Note to Students and Teachers:
This applet explores the 'Unit Circle' definition of the trigonometric functions and shows how it relates to their graphs.
Each of the six functions corresponds to the length of a line in the circle picture as it depends on the length of an arc around the circle - and the graph color matches that of the corresponding line. If only one of the six functions is chosen, then extra lines are drawn to help make clear the equality of line length and graph height. The applet can be used to get a sense of how the geometric behaviour of the line lengths relates to the shapes of the graphs and also to understand the geometric reasons for some of the identities relating different trig functions.

Note to Developers: The applet linked to above was built with the  GeX component library which is intended to support the quick construction of demonstration tools for mathematics instruction.

GeX Homepage

About the GeX library


Copyright 2005 by Alan Cooper - page last modified on 10 Nov2005