Property	Value
Hex Value	`$C9`
Categories	Catalog > S
Localizations	FR: `Argsh(`

`sinh⁻¹(`

Overview

Returns the hyperbolic arcsine of a real number, expression, or list.

Availability: Token available everywhere.

Syntax

sinh⁻¹ (value)

Arguments

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

Location

2nd, catalog, sinh

Description

The sinhֿ¹( command calculates the inverse hyperbolic sine of a value. sinhֿ¹(x) is the number y such that x = sinh(y). Unlike for the standard trig functions, this uniquely determines the inverse hyperbolic sine of any real number.

The sinhֿ¹( command also works for lists.

sinhֿ¹(0)
    0
sinhֿ¹({1,2,3})
    {.881373587 1.443635475 1.818446459}

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

History

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

Last update: September 30, 2023 15:38:51
Created: February 23, 2023 23:15:01

Authors: Adrien Bertrand

sinh⁻¹(