Difference between revisions of "Manuals/calci/ATANH"
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|- class="even" | |- class="even" | ||
|'''ATANH(z)''' | |'''ATANH(z)''' | ||
| − | |'''Value | + | |'''Value''' |
|- class="odd" | |- class="odd" | ||
Revision as of 02:44, 7 November 2013
ATANH(z)
- where z is any number between -1 and 1.
Description
- This function gives the Inverse Hyperbolic Tangent of a number.
- Here 'z' is any number between -1 and 1. ie Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle -1<z<1}
- Inverse Hyperbolic Tangent of a number is defined by Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle Atanh(z)=\frac{1}{2}log e(\frac{1+z}{1-z})}
- TANH(-z)=-TANH(z). Also ATANH(TANH(z))=z
- ATANH(1)=Infinty
Examples
ATANH(z)
- z is any real number between -1 & 1.
| ATANH(z) | Value |
| ATANH(0.1) | 0.100353477 |
| ATANH(0.75) | 0.97295507 |
| ATANH(-0.3) | 0.309519604 |