Geometry with hyperbolic functions

  1. May 17, 2014 #1
    Is known that in every rectangle triangle the following relationships are true:

    [​IMG]

    But, how use geometrically the function sinh, cosh, and tanh?
     
  2. jcsd
  3. May 17, 2014 #2

    micromass

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    Study hyperbolic geometry
     
  4. May 17, 2014 #3

    SteamKing

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  5. May 17, 2014 #4
    But I still don't understood how the hyperbolic functions help me to solve geometric problems.
     
  6. May 17, 2014 #5

    micromass

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    Why do you expect that they do?
     
  7. May 17, 2014 #6
    Hyperbolic functions appears in hyperbolic and elliptic coordinate system, but I don't understand the geometric deduction for these formulas.
     
  8. May 17, 2014 #7

    micromass

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    OK. Which formulas don't you understand the deduction of? What is the deduction and what don't you understand about them?
     
  9. May 17, 2014 #8
  10. May 17, 2014 #9

    symbolipoint

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    This last one was said best.


    Trigonometry is Geometry based on a unit circle.
    Hyperbolic sines and cosines are based on the unit hyperbola.
    Study the hyperbola and the exponential and logarithmic functions based on the Euler number base.
     
  11. May 18, 2014 #10
    I already studied and I continue don't understand how use it
     
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