Property | Value |
---|---|
Hex Value | $C8 |
Categories | |
Localizations |
|
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) \(\begin{align} \sinh{x}=\frac{e^x-e^{-x}}{2} \end{align}
\)
Related Commands
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( |