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December 24th, 2010, 12:56 AM   #1
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Help with Trigonometry

Hi guys ....

rayan Kalak is offline  
January 1st, 2011, 01:51 AM   #2
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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
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January 1st, 2011, 04:30 PM   #3
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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.
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January 1st, 2011, 09:28 PM   #4
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Re: Help with Trigonometry

Originally Posted by rayan Kalak
Hi guys ....

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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