Difference between revisions of "Manuals/calci/ATANH"
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| − | <div style="font-size:30px">'''ATANH( | + | <div style="font-size:30px">'''ATANH(Number)'''</div><br/> |
| − | * | + | * Number is any value between -1 and 1. |
| + | **ATANH() returns the inverse hyperbolic tangent of a number. | ||
| + | |||
==Description== | ==Description== | ||
*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} | + | *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 | ||
| + | *ATANH(1)=Infinty | ||
== Examples == | == Examples == | ||
| − | ''' | + | '''ATANH(z)''' |
| − | *'''z''' is any real number. | + | *'''z''' is any real number between -1 & 1. |
{|id="TABLE1" class="SpreadSheet blue" | {|id="TABLE1" class="SpreadSheet blue" | ||
|- class="even" | |- class="even" | ||
| − | |''' | + | |'''ATANH(z)''' |
| − | |'''Value | + | |'''Value''' |
|- class="odd" | |- class="odd" | ||
| − | | | + | | ATANH(0.1) |
| − | | 0 | + | | 0.100353477 |
|- class="even" | |- class="even" | ||
| − | | | + | | ATANH(0.75) |
| − | | | + | | 0.97295507 |
|- class="odd" | |- class="odd" | ||
| − | | | + | | ATANH(-0.3) |
| − | | | + | | 0.309519604 |
|} | |} | ||
| + | |||
| + | ==Related Videos== | ||
| + | |||
| + | {{#ev:youtube|vfOWS8Y_rQw|280|center|Inverse Hyperbolic TAN}} | ||
==See Also== | ==See Also== | ||
| Line 41: | Line 49: | ||
*[http://en.wikipedia.org/wiki/Trigonometric_functions List of Trigonometric Functions] | *[http://en.wikipedia.org/wiki/Trigonometric_functions List of Trigonometric Functions] | ||
*[http://en.wikipedia.org/wiki/Hyperbolic_function Hyperbolic Function] | *[http://en.wikipedia.org/wiki/Hyperbolic_function Hyperbolic Function] | ||
| + | |||
| + | |||
| + | |||
| + | *[[Z_API_Functions | List of Main Z Functions]] | ||
| + | |||
| + | *[[ Z3 | Z3 home ]] | ||
Latest revision as of 16:15, 18 June 2018
ATANH(Number)
- Number is any value between -1 and 1.
- ATANH() returns the inverse hyperbolic tangent of a number.
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 |
Related Videos
See Also
References