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I have a function of real exponentials and I'd like to simplify it using hyperbolic functions. How can I tell mathematica to use $e^x +e^{-x}=2\cosh(x)$ when simplifying? (and obviusly the $\sinh$ relation too)

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    $\begingroup$ FullSimplify? $\endgroup$ – Michael E2 May 1 '17 at 19:10
  • $\begingroup$ I tried but it doesn't modify the exponentials $\endgroup$ – P. C. Spaniel May 1 '17 at 19:16
  • $\begingroup$ It works for me. You probably need to show a typical use-case in which it fails. Backup plan: expr /. Power[E, x_] :> Cosh[x] + Sinh[x], which might simplify right back to exponentials if you're not careful. $\endgroup$ – Michael E2 May 1 '17 at 19:22
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    $\begingroup$ ExpToTrig can be useful for this. $\endgroup$ – Daniel Lichtblau May 1 '17 at 19:22
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    $\begingroup$ Make sure to use E^x not e^x. $\endgroup$ – kglr May 1 '17 at 19:31

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