# Definition:Real Inverse Hyperbolic Secant/Also known as

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## Real Inverse Hyperbolic Secant: Also known as

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

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

In the real domain, $\mathsf{Pr} \infty \mathsf{fWiki}$ reserves the term **area hyperbolic secant** strictly for the principal branch, that is, for $\map \arsech x > 0$.