# Definition:Complex Inverse Hyperbolic Cotangent/Also known as

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## Complex Inverse Hyperbolic Cotangent: Also known as

The principal branch of the **inverse hyperbolic cotangent** is also known as the **area hyperbolic cotangent**, as it can be used, among other things, for evaluating areas of regions bounded by hyperbolas.

Some sources refer to it as **hyperbolic arccotangent**, but this is strictly a misnomer, as there is nothing **arc** related about an **inverse hyperbolic cotangent**.

In the complex plane, $\mathsf{Pr} \infty \mathsf{fWiki}$ reserves the term **area hyperbolic cotangent** strictly for the principal branch.