Dear Colleagues,

We continue our Colloquium.

Ali Arman

Riverdale High School, Murphreesboro, TN

A Development of the Exact Values of Sine and Cosine of $3,6,9,12,...87$
Degrees

April 29, Monday, Room 207, 1:10pm.

Abstract. This presentation involves expressing the side of a regular
decagon in terms of the radius of the circumscribed circle and shows how
this leads to finding the exact value of, say the $\sin 18^\circ.$ Then,
using known exact values of sine and cosine, with the exact value of $\sin
18^\circ$ one can develop a list of all of the exact values for sine and
cosine from $0^\circ$ to $90^\circ$ with iterative incrementation of
$3^\circ.$ For example the exact value of the $\sin54^\circ=(\sqrt{5}+1)/4.$

The speaker is a candidate for a position at the Department of Mathematics.