A trigonometrical question inspired by Otto Bretscher

Let \[P(n)= \sum_{k=1}^{n}\left(\gcd(n,k)\cos\left(\frac{2k\pi}{n}\right)\right).\]

Find the smallest value \(m\) such that \(P(m)=P(2015)\).


Inspiration.

×

Problem Loading...

Note Loading...

Set Loading...