The earliest and most widely adopted symbols use the prefix arc- (that is: arcsinh, arccosh, arctanh, arcsech, arccsch, arccoth), by analogy with the inverse circular functions (arcsin, etc.).

3 days ago · The inverse hyperbolic cosine (Beyer 1987, p. 181; Zwillinger 1995, p. 481), sometimes called the area hyperbolic cosine (Harris and Stocker 1998, p. 264) is the multivalued function that is the inverse function of the hyperbolic cosine.

Mathematical function, suitable for both symbolic and numerical manipulation. is the inverse hyperbolic cosine function. For a real number x represents the hyperbolic angle measure such that. automatically threads over lists. For certain special arguments, automatically evaluates to …

Feb 3, 2020 · The arcosh function is a hyperbolic function. It is the inverse of the cosh, and is also known as the inverse hyperbolic cosine function. Why is it called the arcosh rather than the arccosh? See here. The arcosh function is defined as the inverse of cosh, ie if: x = cosh y. then: y = arcosh x. There is a also a formula for finding arcosh directly:

Nov 4, 2024 · Inverse hyperbolic functions are the inverse functions of the hyperbolic sine, cosine, tangent, and other hyperbolic functions. They are used to solve equations involving hyperbolic …

On this page is an inverse hyperbolic cosine calculator (or acosh calculator), which calculates an angle from the result of the hyperbolic cosine function. To use the tool to find the angle from a …

In order to invert the hyperbolic cosine function, however, we need (as with square root) to restrict its domain. By convention, cosh−1x is taken to mean the positive number y such that x= coshy. This function is shown in red in the figure; notice that cosh−1x is defined only for x 1 (at least where real numbers are concerned).

© 1998–2025 Wolfram Research, Inc.ArcCosh [<i>z</i>] (2952 formulas)

Jun 20, 2020 · This tool evaluates the inverse hyperbolic cosine of a number: arcosh (x). Enter the argument x below. The inverse hyperbolic cosine function, in modern notation written as arcosh (x) or arccosh (x) or cosh -1 x, gives the value t (hyperbolic angle), so that: The inverse hyperbolic cosine function accepts values not smaller than 1, because .

Compute answers using Wolfram's breakthrough technology & knowledgebase, relied on by millions of students & professionals. For math, science, nutrition, history, geography, engineering, mathematics, linguistics, sports, finance, music…