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Math Help - Hyperbolic definitions

  1. #1
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    Hyperbolic definitions

    Hi , I'm stuck on part b) of the attached proving cosh(x-ln2)=sinh(x) .
    Substituting and simplifying seems to give me e^(x)-e^(-x) and not with the half to prove the identity .
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  2. #2
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    Re: Hyperbolic definitions

    Quote Originally Posted by minicooper58 View Post
    Hi , I'm stuck on part b) of the attached proving cosh(x-ln2)=sinh(x) .
    Substituting and simplifying seems to give me e^(x)-e^(-x) and not with the half to prove the identity .

    I really do not follow what is going on in that attachment.

    By here are two facts.

    e^{x-\ln(2)}=\frac{e^x}{2} so \cosh(x-\ln(2))=\frac{e^{2x}+4}{4e^x}
    Thanks from minicooper58
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