The hyperbolic functions of the sine and of the cosine are identified as follows:
sinh(x)=(e^x-e^(-x))/2
cosh(x)=(e^x+e^(-x))/2
The remaining hyperbolic trigonometric functions can be constructed with the hyperbolic versions of the appropriate functions. While tan(x)=sin(x)/cos(x), tanh(x)=sinh(x)/cosh(x) and can be constructed as (e^x-e^(-x))/(e^x+e^(-x)).
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