What are Hyperbolic functions ?

Hyperbolic functions are a set of mathematical functions that are analogues to the trigonometric functions. The three main hyperbolic functions are the hyperbolic sine (sinh), hyperbolic cosine (cosh), and hyperbolic tangent (tanh). These functions are defined in terms of the exponential function and are used in various areas of mathematics, physics, and engineering. Hyperbolic functions have properties similar to trigonometric functions, but they are based on the hyperbola rather than the circle.