Jump to content


Welcome to BrainDen.com - Brain Teasers Forum

Welcome to BrainDen.com - Brain Teasers Forum. Like most online communities you must register to post in our community, but don't worry this is a simple free process. To be a part of BrainDen Forums you may create a new account or sign in if you already have an account.
As a member you could start new topics, reply to others, subscribe to topics/forums to get automatic updates, get your own profile and make new friends.

Of course, you can also enjoy our collection of amazing optical illusions and cool math games.

If you like our site, you may support us by simply clicking Google "+1" or Facebook "Like" buttons at the top.
If you have a website, we would appreciate a little link to BrainDen.

Thanks and enjoy the Den :-)
Guest Message by DevFuse
 

Photo
- - - - -

Two puzzles, same analysis


  • Please log in to reply
1 reply to this topic

#1 bonanova

bonanova

    bonanova

  • Moderator
  • PipPipPipPip
  • 5840 posts
  • Gender:Male
  • Location:New York

Posted 02 March 2013 - 10:40 AM

This is not a puzzle but an observation of something that to me was surprising.

 

Two unrelated puzzles - the oldie with a twist and the weight-loss problem, succumb to identical analyses.

Both present an equation that does not have an analytical solution for a crucial angle, let's call it x.

The equation that presents itself is this:

 

tan(x) = x + k

 

where k is some constant, and x is expressed in radians.

You can't get a general solution x = x(k), but you can solve the equation iteratively for x for any particular value of k.

When that is done, the the desired answer turns out to be

 

cos(x) = answer.

 

I wonder whether there is a prototypical problem for which this is the best analysis?

 

Did this post turn out to be a puzzle after all?


  • 0
The greatest challenge to any thinker is stating the problem in a way that will allow a solution.
- Bertrand Russell

#2 BMAD

BMAD

    Senior Member

  • Members
  • PipPipPipPip
  • 1677 posts
  • Gender:Female

Posted 02 March 2013 - 11:16 PM

Spoiler for I am not sure if i understand the question but

  • 0




0 user(s) are reading this topic

0 members, 0 guests, 0 anonymous users