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 between -1 and 1. ie -1<z<1 | + | *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}log e(1+\frac{z}{1-z})</math> | *Inverse Hyperbolic Tangent of a number is defined by <math>Atanh(z)=\frac{1}{2}log e(1+\frac{z}{1-z})</math> | ||
*TANH(-z)=-TANH(z) | *TANH(-z)=-TANH(z) | ||
Revision as of 03:53, 6 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)
- ATANH(1)=Infinty
Examples
ATANH(z)
- z is any real number between -1 & 1.
| ATANH(z) | Value(Radian) |
| ATANH(0.1) | 0.100353477 |
| ATANH(0.75) | 0.97295507 |
| ATANH(-0.3) | 0.309519604 |