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Math Help - Hyperbolic Cosine Function

  1. #1
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    Hyperbolic Cosine Function

    The hyperbolic cosine function, designated by cosh x is defined as cosh x = (1/2) (e^x + e^(-x)).

    Show that f(x) = cosh x is an even number.
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  2. #2
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    An even funtion satisfies f(x)=f(-x). In the same fashion of your other problem (odd hyperbolic sin function), do it.
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    Quote Originally Posted by magentarita View Post
    The hyperbolic cosine function, designated by cosh x is defined as cosh x = (1/2) (e^x + e^(-x)).

    Show that f(x) = cosh x is an even number.
    That is NOT what the questions asks because it makes no sense. cosh x is an even FUNCTION not an even number.
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    Are you..

    Quote Originally Posted by Krizalid View Post
    An even funtion satisfies f(x)=f(-x). In the same fashion of your other problem (odd hyperbolic sin function), do it.
    Are you saying to replace x with -x in the given function and simplify?
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  5. #5
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    Then....

    Quote Originally Posted by HallsofIvy View Post
    That is NOT what the questions asks because it makes no sense. cosh x is an even FUNCTION not an even number.
    What is the correct method for solving this question?
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