Results 1 to 2 of 2

Math Help - Prove that |sinh y - sinh x| ≤ (cosh a)|y - x|

  1. #1
    Junior Member
    Joined
    Jan 2010
    Posts
    50

    Prove that |sinh y - sinh x| ≤ (cosh a)|y - x|

    Let a > 0.
    Let x ϵ (0,a) and y ϵ (0,a).
    Use the fact that cosh is a primitive of sinh to prove that
    |sinh y - sinh x| ≤ (cosh a)|y - x|

    Thanks very much for any help.
    Last edited by feyomi; May 26th 2010 at 12:26 PM.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor

    Joined
    Aug 2006
    Posts
    18,913
    Thanks
    1760
    Awards
    1
    Use the mean value on \sinh(t) on the interval [x,y].
    Note that \cosh(c)\le \cosh(a) if c<a.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. sinh(x) and cosh(x)
    Posted in the Pre-Calculus Forum
    Replies: 2
    Last Post: June 13th 2011, 09:37 AM
  2. INT (sinh t. cosh 2t) dt
    Posted in the Calculus Forum
    Replies: 1
    Last Post: August 16th 2010, 08:34 AM
  3. Integrate cosh x/(3 sinh x +4)
    Posted in the Calculus Forum
    Replies: 8
    Last Post: June 3rd 2010, 09:21 AM
  4. Help with sinh and cosh
    Posted in the Advanced Math Topics Forum
    Replies: 3
    Last Post: October 27th 2009, 10:57 PM
  5. cosh and sinh
    Posted in the Calculus Forum
    Replies: 3
    Last Post: September 24th 2007, 09:47 PM

Search Tags


/mathhelpforum @mathhelpforum