Write a library of static methods that implements the hyperbolic functions based on the definitions (sinh (x)=left(e^{x}-e^{-x}ight)

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 $\tanh (x), \operatorname{coth}(x), \operatorname{sech}(x)$, and $\operatorname{csch}(x)$ defined in a manner analogous to standard trigonometric functions.

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