More fun in 2015, Part 44

Find \[S=-\sum\log_2 \left(1-\cos\left(\frac{2k\pi}{2015}\right)\right)\]

where the sum is taken over all \(1\leq k\leq 2015\) with \(\gcd(k, 2015)=1\).

×

Problem Loading...

Note Loading...

Set Loading...