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Math Help - Is this possible?

  1. #1
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    Help

    I need to solve for y in terms of "n" in the following:

    cosh(ny)=n+.5

    Any body have any ideas?
    Last edited by rman144; July 20th 2008 at 10:02 PM. Reason: Dumb
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  2. #2
    Rhymes with Orange Chris L T521's Avatar
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    Quote Originally Posted by rman144 View Post
    I need to solve for y in terms of "n" in the following:

    cosh(ny)=n+.5

    Any body have any ideas?
    Apply the inverse hyperbolic cosine to both sides:

    \cosh^{-1}\left(\cosh(ny)\right)=\cosh^{-1}(n+.5)

    \implies y=\frac{1}{n}\cosh^{-1}\left(n+.5\right).

    Is this what you're looking for?

    --Chris
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