Definition:Inverse Hyperbolic Sine/Real/Definition 1

Definition
The inverse hyperbolic sine $\sinh^{-1}: \R \to \R$ is a real function defined on $\R$ as:


 * $\forall x \in \R: \map {\sinh^{-1} } x := y \in \R: x = \map \sinh y$

where $\map \sinh y$ denotes the hyperbolic sine function.

Also known as
The inverse hyperbolic sine function is also known as the hyperbolic arcsine function.

Also see

 * Equivalence of Definitions of Real Inverse Hyperbolic Sine