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Mathematical Induction

 
 
shark
 
Reply Sat 19 Aug, 2006 07:35 pm
I am wondering how to get started on writing the proof to
|sin nx| <= |sin x| for all x in R and P.


shark
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Type: Discussion • Score: 1 • Views: 636 • Replies: 2
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stuh505
 
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Reply Sat 19 Aug, 2006 10:30 pm
Shark, I could give you a generic description how induction, but so could mathworld.

If you want specific help on getting started with this problem, you'll need to finish describing the problem! You have not defined the sets R and P, and we don't know what values "n" can be!

I assume it is supposed to be abs(sin(n*x)) <= abs(sin(x))
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engineer
 
  1  
Reply Mon 21 Aug, 2006 09:31 am
Re: Mathematical Induction
shark wrote:
I am wondering how to get started on writing the proof to
|sin nx| <= |sin x| for all x in R and P.


I don't think you wrote this correctly. The sin of .2 is greater than the sin of .1 for example, so if n=2 this isn't always correct if N is in the set of integers.
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