ABSTRACT

Hyperbolic functions have applications in many areas of engineering. Few examples include the hyperbolic sine arises in the gravitational potential of a cylinder, the hyperbolic cosine function is the shape of a hanging cable, the hyperbolic tangent arises in the calculation of and rapidity of special relativity. It also include the hyperbolic secant arises in the profile of a laminar jet, and the hyperbolic cotangent arises in the Langevin function for magnetic polarisation. So there are plenty of applications for inverse functions in engineering and the chapter explains how to differentiate inverse trigonometric and hyperbolic functions. Inverse hyperbolic functions may be evaluated most conveniently when expressed in a logarithmic form.