Results 1 to 5 of 5

Math Help - Hyperbolic Functions

  1. #1
    Junior Member
    Joined
    Oct 2010
    Posts
    49

    Hyperbolic Functions

    What is the hyperbolic function of


    (cosh A *cosh B)^2

    obviously it is the same thing as cosh^2(A) * cosh^2(B).

    Is there any way I could get it to become

    cosh^2(A) * cosh^2(B) = Cosh^2(A) + Cosh^2(B) ?
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Flow Master
    mr fantastic's Avatar
    Joined
    Dec 2007
    From
    Zeitgeist
    Posts
    16,948
    Thanks
    5
    Quote Originally Posted by Turloughmack View Post
    What is the hyperbolic function of


    (cosh A *cosh B)^2

    obviously it is the same thing as cosh^2(A) * cosh^2(B).

    Is there any way I could get it to become

    cosh^2(A) * cosh^2(B) = Cosh^2(A) + Cosh^2(B) ?
    No.

    Please post the whole question, exactly as it's written.
    Follow Math Help Forum on Facebook and Google+

  3. #3
    MHF Contributor
    Joined
    Mar 2010
    From
    Florida
    Posts
    3,093
    Thanks
    5
    Try using \displaystyle \left(\frac{e^a-e^{-a}}{2}\right)^2*\left(\frac{e^b-e^{-b}}{2}\right)^2 and I don't know if it will work but it is worth a start.
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Junior Member
    Joined
    Oct 2010
    Posts
    49
    From the cosine law, we can write sin^2(gamma) = 1 - (AB - C / sinh a.sinh b)^2 [where A=cosh a, B= cosh b, C = cosh c]

    I have done this. The next part of the question says

    deduce

    sin^2(gamma) sinh^2(a) sinh^2(b) = 1 - A^2 - B^2 - C^2 +2ABC.

    This is where my problem lies, I understand how to get the LHS. I dont see hot to get the RHS
    Follow Math Help Forum on Facebook and Google+

  5. #5
    MHF Contributor
    Joined
    Mar 2010
    From
    Florida
    Posts
    3,093
    Thanks
    5
    Start using the hyperbolic identities to see what you can do.

    Hyperbolic function - Wikipedia, the free encyclopedia
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Hyperbolic Functions
    Posted in the Pre-Calculus Forum
    Replies: 1
    Last Post: May 20th 2010, 08:47 PM
  2. Hyperbolic functions
    Posted in the Differential Geometry Forum
    Replies: 1
    Last Post: February 28th 2010, 10:19 AM
  3. hyperbolic functions
    Posted in the Calculus Forum
    Replies: 1
    Last Post: December 20th 2009, 08:47 AM
  4. Hyperbolic Functions
    Posted in the Trigonometry Forum
    Replies: 4
    Last Post: November 20th 2008, 05:46 AM
  5. hyperbolic functions
    Posted in the Calculus Forum
    Replies: 3
    Last Post: April 17th 2008, 07:03 PM

Search Tags


/mathhelpforum @mathhelpforum