Hyperbolic Function

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Important Formulas:


1. If     is a real number, then the exponential function is defined by     then 


2. The hyperbolic functions   is defined by


3. The hyperbolic functions   is defined by


4. Also,


5. Also,


6.


7.   are odd functions.


8. are even functions.


9.


10.


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18. for all


19. for  


20. for 


21. for \csc h^{-1}


22. for \csc h^{-1}


23.


24.


25.


26.