Definition:Inverse Hyperbolic Cotangent/Real/Definition 1

Definition
Let $\coth: \R \to \R$ denote the hyperbolic cotangent as defined on the set of real numbers.

The inverse hyperbolic cotangent is a multifunction defined as:


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

Also see

 * Definition:Real Inverse Hyperbolic Sine
 * Definition:Real Inverse Hyperbolic Cosine
 * Definition:Real Inverse Hyperbolic Tangent
 * Definition:Real Inverse Hyperbolic Secant
 * Definition:Real Inverse Hyperbolic Cosecant