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November 17th, 2017, 04:52 AM   #1
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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 06:40 AM.
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November 17th, 2017, 05:03 AM   #2
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What is $n$?
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November 17th, 2017, 09:42 PM   #3
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Sorry moderator actually it is
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Originally Posted by panky View Post
Find sum of $$\sum_{k=1}^{1007}\left(\cos \left(\frac{k\pi}{1007}\right)\right)^{2014}$$
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