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Math Help - Hyperbolic Functions

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    Hyperbolic Functions

    Derive the properties of the hyperbolic functions.

    A) (cosh[x] + sinh[x])^n = cosh[nx] + sinh[nx] where n is an integer.

    B) cosh[x] - sinh[x] = e^-x

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    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by sancellX View Post
    Derive the properties of the hyperbolic functions.

    A) (cosh[x] + sinh[x])^n = cosh[nx] + sinh[nx] where n is an integer.
    Here's the first, the second should be quite easy after seeing this

    (the size seems off. i suppose you can see e^x just fine, but the other ones that seem to have weird powers are e^nx)
    Attached Thumbnails Attached Thumbnails Hyperbolic Functions-hypproof.gif  
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