G 13
Source:
May 25, 2007
Irrational numbers
Problem Statement
It is possible to show that \csc\frac{3\pi}{29}\minus{}\csc\frac{10\pi}{29}\equal{} 1.999989433.... Prove that there are no integers , , with odd satisfying \csc\frac{j\pi}{n}\minus{}\csc\frac{k\pi}{n}\equal{} 2.