November 17th, 2017, 03:52 AM  #1 
Senior Member Joined: Jul 2011 Posts: 405 Thanks: 16  Trigonometric sum
Find sum of $$\sum_{k=1}^{n}\left(\cos \left(\frac{k\pi}{2014}\right)\right)^{1007}$$
Last edited by skipjack; November 17th, 2017 at 05:40 AM. 
November 17th, 2017, 04:03 AM  #2 
Global Moderator Joined: Oct 2008 From: London, Ontario, Canada  The Forest City Posts: 7,963 Thanks: 1148 Math Focus: Elementary mathematics and beyond 
What is $n$?

November 17th, 2017, 08:42 PM  #3 
Senior Member Joined: Jul 2011 Posts: 405 Thanks: 16  

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