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Math Help - hyperbolic function

  1. #1
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    hyperbolic function

    Simplify the function below


    how would i go about simplifying this...a little help...

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  2. #2
    MHF Contributor
    Joined
    Apr 2005
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    sinh(x) = [e^x -e^(-x)] / 2

    So,
    sinh(ln(t))

    = [e^(ln(t)) -e^(-ln(t))] / 2

    = [t -1/t] / 2

    = [(t^2 -1)/t] / 2

    = (t^2 -1) / (2t) ---------------answer.

    -------------------

    e^(-ln(t))
    = e^(ln(t^(-1)))
    = e^(ln(1/t))
    = 1/t
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