Hi this appeared on my differentiation homework. for 0<x< π/2 Prove 1/2 tan (x/2) + 1/ (2^2) tan (x/ (2^2)) + ..... 1/ (2^n) tan (x/ (2^n)) = 1/ (2^n) cot (x/ (2^n)) - cot x. Anyone knows how to solve it?
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Some brackets to avoid ambiguity would be nice... Is it or ?
Hi it is the first one....
Hi it is ... Thanks!
Thanks man that's brilliant! Originally Posted by ibdutt
Originally Posted by ibdutt Another idea. Prove the following by an easy induction Then take ln of both sides and differentiate
Last edited by Idea; Aug 24th 2013 at 07:09 AM. Reason: typo
I am sorry could you elaborate further? I don't get the eqn... Thanks! Originally Posted by Idea Another idea. Prove the following by an easy induction Then take ln of both sides and differentiate
The left side is a product
Ummgh how did you arrive at this equation? I am really lost.
You have to prove this formula by induction for n=1
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