Geometry with hyperbolic functions

  1. Is known that in every rectangle triangle the following relationships are true:

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    But, how use geometrically the function sinh, cosh, and tanh?
     
  2. jcsd
  3. micromass

    micromass 18,440
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    Study hyperbolic geometry
     
  4. SteamKing

    SteamKing 8,291
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  5. But I still don't understood how the hyperbolic functions help me to solve geometric problems.
     
  6. micromass

    micromass 18,440
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    Why do you expect that they do?
     
  7. Hyperbolic functions appears in hyperbolic and elliptic coordinate system, but I don't understand the geometric deduction for these formulas.
     
  8. micromass

    micromass 18,440
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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. symbolipoint

    symbolipoint 3,038
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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.
     
  10. I already studied and I continue don't understand how use it
     
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