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Math Help - Hyperbolic Functions Identity Help

  1. #1
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    Hyperbolic Functions Identity Help

    I have to prove this identity and I'm having difficulties.
    I attempted changing the things into sinh and cosh and into their respective definitions, but I ended up getting 2e^x / 0

    Any suggestions on how to try this. My teacher dropped this on me and it's due tomorrow.
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  2. #2
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    Quote Originally Posted by DemonGal711 View Post
    I have to prove this identity and I'm having difficulties.
    I attempted changing the things into sinh and cosh and into their respective definitions, but I ended up getting 2e^x / 0

    Any suggestions on how to try this. My teacher dropped this on me and it's due tomorrow.
    \mathrm{sinh}(x)=\frac{\mathrm{e}^{x}-\mathrm{e}^{-x}}{2}
    \mathrm{cosh}(x)=\frac{\mathrm{e}^{x}+\mathrm{e}^{-x}}{2}
    \mathrm{tanh}(x)=\frac{\mathrm{sinh}(x)}{\mathrm{c  osh}(x)}
    ............ =\frac{\mathrm{e}^{x}-\mathrm{e}^{-x}}{\mathrm{e}^{x}+\mathrm{e}^{-x}}
    ............ =\frac{\mathrm{e}^{2x}-1}{\mathrm{e}^{2x}+1}
    it must not be hard to prove what you want by using these identities.

    also visit: Hyperbolic function - Wikipedia, the free encyclopedia
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  3. #3
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    Thank you. My teacher never gave us the last expression for how to write tanh(x) so I was trying to do it with what he had given us. I think I would have been there forever.
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