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Thread: hyperbolic cosine and sine: evaluate

  1. September 15th 2011, 08:59 PM #1
    freestar
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    hyperbolic cosine and sine: evaluate

    If cosh(t) = 5 & cosh(u) = 7
    What is the value of coth(t) - tanh(u)

    I know the formulas for them but I am just getting lost. Any help would be highly appreciated! I know the cosh, sinh and tanh formulas involving e^x and coth would just be the tanh formula flipped. Very lost.
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  2. September 15th 2011, 09:05 PM #2
    pickslides
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    Re: hyperbolic cosine and sine: evaluate

    Use \displaystyle \tanh^2 x +sech^2x = 1 and

    \displaystyle sech x = \frac{1}{\cosh x}
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