Property	Value
Hex Value	`$CB`
Categories	Catalog > C
Localizations	FR: `Argch(`

`cosh⁻¹(`

Overview

Returns hyperbolic arccosine of a real number, expression, or list.

Availability: Token available everywhere.

Syntax

cosh⁻¹ (value)

Arguments

Name	Type	Optional
⁻¹	real\|expression\|real[]
value	real\|expression\|real[]

Location

2nd, catalog, cosh

Description

The coshֿ¹( function gives the inverse hyperbolic cosine of a value. coshֿ¹(x) is the number y such that x = cosh(y).

Although coshֿ¹(x) can be defined for all real and complex numbers, it assumes real values only for x≥1. Since hyperbolic functions in the Z80 calculators are restricted only to real values, ERR:DOMAIN is thrown when x<1.

The coshֿ¹( command also works for lists.

coshֿ¹(1)
    0
coshֿ¹({2,3})
    {1.316957897 1.762747174}

Error Conditions

ERR:DOMAIN when taking the inverse cosh of a number less than 1.

Source: parts of this page were written by the following TI|BD contributors: burr, DarkerLine, GoVegan, Myles_Zadok, thornahawk.

History

Calculator	OS Version	Description
TI-82	1.0	`cosh⁻¹` added
TI-83	0.01013	Renamed `cosh⁻¹` to `cosh⁻¹(`

Authors: Adrien Bertrand

cosh⁻¹(