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Math Help - Hyperbolic Functions

  1. #1
    Member
    Joined
    Dec 2008
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    105

    Hyperbolic Functions

    Hi
    I'm new to hyperbolic functions so I'm a bit stuck on two problems which may seem easy. I don't know where to start. Any help would be greatly appreciated.

    Show from the definitions of \sinh(x) and \cosh(x) that:

    a) cosh(2x) = 2\cosh^2(x) - 1

    and

    b) \sinh(x + y) = \sinh(x)\cosh(y) + \cosh(x)\sinh(y)

    P.S sorry if this is in the wrong area but I couldn't see any that were obviously for it.
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  2. #2
    Junior Member
    Joined
    May 2009
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    Zagreb
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    sh(x) = \frac{e^{x} - e^{-x}}{2}

    sinh(x) or sh(x)

    ch(x) = \frac{e^{x} + e^{-x}}{2}

    cosh(x) or ch(x)

    now use this... and its easy
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