Chebyshev polynomial practice: medium hard product
Geometry
Level
3
\[ \large \displaystyle \prod_{n=1}^{2016} \sec\left(\dfrac{n\pi}{2017}\right)\]
Evaluate the product above.
Given that the above is equal to \(a^b\) where a is a prime number, find \(a+b\).
Inspired by this problem when I solved it in 3 steps... All of which were wrong, but somehow I got the right answer.
by
Trevor Arashiro