Hyperbolic Triginometry

Discussion in 'Math' started by Danielsix-five, Jan 25, 2006.

  1. Danielsix-five

    Thread Starter Member

    Dec 6, 2005
    20
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    Learning about hyperbolic trig functions in calc class. It seems really interesting, and I would like to study it in-depth. Anybody got any info??

    -Daniel
     
  2. hgmjr

    Moderator

    Jan 28, 2005
    9,030
    214
    Take a look at this website.

    http://mathworld.wolfram.com/HyperbolicFunctions.html

    hgmjr
     
  3. Dave

    Retired Moderator

    Nov 17, 2003
    6,960
    144
    In addition to the above post, you can refer to: http://en.wikipedia.org/wiki/Hyperbolic_functions

    You will find that the information is pretty much the same.

    You could also check out Engineering Mathematics by Stroud, Part II Programme 3.

    Dave
     
  4. Danielsix-five

    Thread Starter Member

    Dec 6, 2005
    20
    0
    Here's an idea. If a catinary is created by suspending a wire between two posts, then its shape must result from gravity. So why doesn't a ball thrown in the air, which is also acted upon by gravity, form a path of a catinary. (Is that the right grammar?)
     
  5. Papabravo

    Expert

    Feb 24, 2006
    10,144
    1,790
    I'll give it a try. The ball is like a point mass and it's shape does not change appreciably under the force of gravity while it is in motion. This changes of course if the ball hits something.

    Now the cable is a different story. It is like a distributed mass, and each mass element along the cable is under tension. This effect changes the shape of the hanging cable. The equilibrium shape of such a system can be shown to be a catenary.