Let \(A_1,A_2,A_3,\ldots,A_n\) be the vertices of a regular \(n\)-gon on the unit circle. Evaluate \(\prod_{i=2}^n A_1A_i\). (Here, \(A_1A_i\) denotes the length of the line segment.)

The best solution was submitted by Taegyun Kim (김태균, 수리과학과 2016학번). Congratulations!

Here is his solution of problem 2018-06.

Alternative solutions were submitted by 권홍 (중앙대 물리학과, +3), 고성훈 (2018학번, +3), 김건우 (수리과학과 2017학번, +3), 이본우 (수리과학과 2017학번, +3), 이종원 (수리과학과 2014학번, +3), 채지석 (수리과학과 2016학번, +3), 최백규 (생명과학과 2016학번, +3), 하석민 (수리과학과 2017학번, +3), 한준호 (수리과학과 2015학번, +3).