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December 24th, 2010, 12:56 AM  #1 
Newbie Joined: Dec 2010 Posts: 3 Thanks: 0  Help with Trigonometry Hi guys .... 
January 1st, 2011, 01:51 AM  #2 
Senior Member Joined: Nov 2010 Posts: 288 Thanks: 1  Re: Help with Trigonometry
this expression is alway less or equal to squeroot(3) 1 when n=3 it is equal when n>3 it is always less than that

January 1st, 2011, 04:30 PM  #3 
Global Moderator Joined: Dec 2006 Posts: 20,942 Thanks: 2210 
When n>3, the sum is obviously more than ?3  1, as more terms are summed (and all are positive). However, the sum seems never to exceed ?3.

January 1st, 2011, 09:28 PM  #4  
Newbie Joined: Dec 2010 Posts: 26 Thanks: 0  Re: Help with Trigonometry Quote:
The summation can be written as Using the method of differences, you are left with . As n approaches infinity, tan (pi/n) approaches 0. Therefore, it can be deduced that the summation does not exceed sqrt(3) as mentioned by skipjack.  

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