You can move the point on the unit circle on the left by clicking on it and moving around the circle, or by using the slider below the diagram. Each function chosen is graphed on the right. (The cosine and sine are the x and y coordinates of that point, the magnitude of the tangent is the length of the tangent to the circle from the circle to the x axis, and the secant is the x coordinate of the point at which the tangent hits the x axis. The cotangent and cosecant are the same with x and y switched. All signs are positive in the first quadrant.)
I get dizzy if I try to look at all these functions at once.

This tool uses JQWidgets extensively. Please verify their copyright.

Developed by Daniel Kleitman and Jean-Michel Claus.