Abstract

This chapter discusses inverse circular functions, hyperbolic functions, and inverse hyperbolic functions. A characteristic of the function is that, for a given value of the independent variable, there is an infinite number of values of the dependent variable. There is a close analogy between the properties of the hyperbolic functions and those of the circular functions. The general rule for changing a formula involving an algebraic relationship concerning circular functions into the corresponding formula involving hyperbolic functions is to replace each circular function by the corresponding hyperbolic function and change the sign of every product of two sines. Hyperbolic functions are the simple combinations of exponential functions.

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