PROBLEM*: Cos 36 degrees

(a) Express in closed form. See Sublime Triangle.

(b) Prove that


What is "closed form?" Express as a real number. Not a decimal approximation. Not the sum of some infinite series.

Hint?
One solution.

Alternative solutions?
Interpretations of either (a) or (b)?

See also



Return to the EMAT 4600/6600 Page.


* This is problem 4409 in School Science and Mathematics, proposed by Herta T. Freitag, Roanoke, VA.