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Geometry with hyperbolic functions 
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#1
May1714, 04:30 PM

P: 686

Is known that in every rectangle triangle the following relationships are true:
But, how use geometrically the function sinh, cosh, and tanh? 


#3
May1714, 04:49 PM

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Thanks
PF Gold
P: 6,321

This article gives one geometric interpretation of sinh and cosh:
http://en.wikipedia.org/wiki/Hyperbolic_function (check out the figure at the upper RHS of the article) 


#4
May1714, 04:55 PM

P: 686

Geometry with hyperbolic functions



#6
May1714, 05:34 PM

P: 686




#7
May1714, 05:36 PM

Mentor
P: 18,040




#8
May1714, 06:17 PM

P: 686

Look these formulas:
http://en.wikipedia.org/wiki/Ellipti...sic_definition I don't understand because x and y are equals to these expressions. 


#9
May1714, 07:19 PM

HW Helper
PF Gold
P: 2,796

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
May1814, 12:42 AM

P: 686

I already studied and I continue don't understand how use it



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