Inverse Hyperbolic Functions

In this post we discuss about inverse Hyperbolic Function and also their domain and Range. The Inverse Hyperbolic Functions are expressed in terms of natural ;logarithms.

 Function Formulas Sinh-1x $ln(x+\sqrt{x^2+1}),&space;\forall&space;\,\,\&space;x$ Cosh-1x $ln(x+\sqrt{x^2-1}),&space;\forall&space;\,\,\&space;x\geq&space;1$ Tanh-1x $\frac{1}{2}ln(\frac{1+x}{1-x})&space;,&space;|x|&space;<&space;1$ Cosech-1x $ln(\frac{1}{x}+\frac{\sqrt{1+x^2}}{|x|})&space;,&space;x&space;\neq&space;0$ Sech-1x $ln(\frac{1}{x}+\frac{\sqrt{1-x^2}}{|x|})&space;,&space;0&space;<&space;x&space;\leq&space;1$ Coth-1x $\frac{1}{2}ln(\frac{x+1}{x-1})&space;,&space;|x|&space;<&space;1$