Difference between revisions of "Manuals/calci/ATANH"
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*This function gives the Inverse Hyperbolic Tangent of a number. | *This function gives the Inverse Hyperbolic Tangent of a number. | ||
*Here 'z' is any number between -1 and 1. ie <math>-1<z<1</math> | *Here 'z' is any number between -1 and 1. ie <math>-1<z<1</math> | ||
| − | *Inverse Hyperbolic Tangent of a number is defined by <math>Atanh(z)=\frac{1}{2} | + | *Inverse Hyperbolic Tangent of a number is defined by <math>Atanh(z)=\frac{1}{2}\log_e(\frac{1+z}{1-z})</math> |
*TANH(-z)=-TANH(z). Also ATANH(TANH(z))=z | *TANH(-z)=-TANH(z). Also ATANH(TANH(z))=z | ||
*ATANH(1)=Infinty | *ATANH(1)=Infinty | ||
Revision as of 03:07, 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
- Inverse Hyperbolic Tangent of a number is defined by
- 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 |