Inverse Hyperbolic Functions

In this post we define Inverse Hyperbolic Functions. The inverse hyperbolic Functions are expressed in terms of natural logarithms.

 FUNCTIONS FORMULAS Sinh-1 x $ln(x+\sqrt{x^2+1})$  For all x Cosh-1 x $ln(x+\sqrt{x^2-1}),&space;x\geq&space;1$ Tanh-1 x $\frac{1}{2}ln(\frac{1+x}{1-x}),&space;|x|<1$ Cosech-1 x $ln(\frac{1}{x}+\frac{\sqrt{1+x^2}}{|x|}),&space;x&space;\neq&space;0$ Sech-1 x $ln(\frac{1}{x}+\frac{\sqrt{1-x^2}}{x}),&space;0 Coth-1 x $\frac{1}{2}ln(\frac{1-x}{1+x}),&space;|x|<1$