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* <math>csch(x) = \frac{1}{sinh(x)} = \frac{2}{e^x - e^{-x}}</math>
 
* <math>csch(x) = \frac{1}{sinh(x)} = \frac{2}{e^x - e^{-x}}</math>
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[[User:Idryg|Idryg]] 20:10, 11 October 2008 (UTC)

Revision as of 16:10, 11 October 2008

Just in case you don't have to look them up in your book or whatever. And so I can learn how to use Latex!

Hyperbolic Functions

  • $ sinh(x) = \frac{e^x - e^{-x}}{2} $
  • $ cosh(x) = \frac{e^x + e^{-x}}{2} $
  • $ tan(x) = \frac{sinh(x)}{cosh(x)} = \frac{e^x - e^{-x}}{e^x + e^{-x}} $
  • $ coth(x) = \frac{cosh(x)}{sinh(x)} = \frac{{e^x + e^{-x}}}{{e^x - e^{-x}}} $
  • $ sech(x) = \frac{1}{cosh(x)} = \frac{2}{{e^x + e^{-x}}} $
  • $ csch(x) = \frac{1}{sinh(x)} = \frac{2}{e^x - e^{-x}} $

Idryg 20:10, 11 October 2008 (UTC)

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To all math majors: "Mathematics is a wonderfully rich subject."

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