To the left of
the y-axis, you see a unit circle being swept out, with the radian
measure of the angle ( arc length ) shown in blue, and the sine of
that angle ( the y-coordinate ) shown in red.
To the right of the y-axis, you
see the points of the graph of y = Sin(x) being graphed in
black. The angle x is shown in blue and the value of Sin(x) is shown in red.
The Cosine Curve
y = Cos(x)
To the left of the y-axis, you
see a unit circle being swept out, with the radian measure of the angle
(arc length)
shown in blue,
and the cosine of that angle (the
x-coordinate) shown in green.
To the right of the y-axis, you
see the points of the graph of y = Cos(x) being graphed in
black. The angle x is shown in blue and the value of Cos(x) is shown in green.
Tom and Bettina Richmond have
collaborated on several projects. He is a topologist and she is
an algebraist. See the following publications:
The Equal Area Zones
Property, American Mathematical Monthly, Vol.100, No.
5 (May 1993) 475-477.
Metric Spaces in Which All
Triangles are Degenerate, American Mathematical Monthly,
Vol.104, no. 8 (Oct. 1997) 713-719.
Characterizing Power Functions by
Volumes of Revolution, College Mathematics Journal, Vol.
29, no. 1 (Jan. 1998) 40-41.
A Discrete Transition to Advanced
Mathematics (textbook), Brooks/Cole Series in Advanced
Mathematics, Summer, 2003.
