Property	Value
Hex Value	`$C8`
Categories	Catalog > S
Localizations	FR: `sh(`

`sinh(`

Overview

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

Availability: Token available everywhere.

Syntax

sinh(value)

Arguments

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

Location

2nd, catalog, sinh(

Description

Calculates the hyperbolic sine of a value. The hyperbolic trig functions sinh(, cosh(, and tanh( are an analog of normal trig functions, but for a hyperbola, rather than a circle. They can be expressed in terms of real powers of e, and don't depend on the Degree or Radian mode setting.

sinh(0)
    0
sinh(1)
    1.175201194

Like normal trig commands, sinh( works on lists as well, but not on complex numbers, even though the function is often extended to the complex numbers in mathematics.

Formulas

The definition of hyperbolic sine is:

(1) $\begin{align} \sinh{x}=\frac{e^x-e^{-x}}{2} \end{align}$

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

History

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

Authors: Adrien Bertrand

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