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:


 * $\forall x \in \R: \sinh^{-1} \left({x}\right) := y \in \R: x = \sinh \left({y}\right)$

where $\sinh \left({y}\right)$ 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