Guide

View our quick guide, or navigate through the menu to the left to find the definition and usage of each function provided by our calculator.

Additionally, use the search bar to search for a function. Select the name of any function name to visit its page.

Hyperbolic Arccosecant

Syntax

acsch(x)

Definition

The hyperbolic arccosecant function returns the hyperbolic arccosecant of a number. The hyperbolic arccosecant is defined as the inverse of the hyperbolic cosecant of a number. More simply:

\operatorname{arccsch}(x)=\operatorname{csch}^{-1}(x)

\operatorname{csch}^{-1}(\operatorname{csch}(x))=x

Additionally, an exact solution exists:

\operatorname{arccsch}(x)=\ln\bigg(\frac{1}{x}+\sqrt{\frac{1}{x^2}+1}\bigg)

Examples

acsch(.434)
= 1.571931

acsch(.086)
= 3.148399

No Results Found

Exponent

square cube power

Root

square root cube root nth root

Logarithm

general logarithm common logarithm natural logarithm

Piecewise

absolute value floor ceiling round modulo

Trigonometry

sine arcsine hyperbolic sine hyperbolic arcsine

cosine arccosine hyperbolic cosine hyperbolic arccosine

tangent arctangent hyperbolic tangent hyperbolic arctangent

cosecant arccosecant hyperbolic cosecant hyperbolic arccosecant

secant arcsecant hyperbolic secant hyperbolic arcsecant

cotangent arccotangent hyperbolic cotangent hyperbolic arccotangent

Probability

combination permutation factorial

Statistics

sum product min max median mean standard deviation variance

Vector

dot product cross product norm

Matrix

determinant inverse pseudoinverse trace transpose

Complex Numbers

argument conjugate