Question: Write a library of static methods that implements the hyperbolic functions based on the definitions (sinh (x)=left(e^{x}-e^{-x}ight) / 2) and (cosh (x)=left(e^{x}+e^{-x}ight) / 2), with

Write a library of static methods that implements the hyperbolic functions based on the definitions \(\sinh (x)=\left(e^{x}-e^{-x}ight) / 2\) and \(\cosh (x)=\left(e^{x}+e^{-x}ight) / 2\), with \(\tanh (x), \operatorname{coth}(x), \operatorname{sech}(x)\), and \(\operatorname{csch}(x)\) defined in a manner analogous to standard trigonometric functions.

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