Difference between revisions of "Manuals/calci/ATANH"

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.

This function gives the Inverse Hyperbolic Tangent of a number.
Here 'z' is any number between -1 and 1. ie $-1<z<1$
Inverse Hyperbolic Tangent of a number is defined by $Atanh(z)={\frac {1}{2}}\log _{e}({\frac {1+z}{1-z}})$
TANH(-z)=-TANH(z). Also ATANH(TANH(z))=z
ATANH(1)=Infinty

ATANH(z)

@@ Line 1: / Line 1: @@
-<div style="font-size:30px">'''ATANH(z)'''</div><br/>
+<div style="font-size:30px">'''ATANH(Number)'''</div><br/>
-* where z is any number between -1 and 1.
+* 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 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(\frac{1+z}{1-z})</math>
-*TANH(-z)=-TANH(z)
+*TANH(-z)=-TANH(z). Also ATANH(TANH(z))=z
 *ATANH(1)=Infinty
@@ Line 17: / Line 19: @@
 |- class="even"
 |'''ATANH(z)'''
-|'''Value(Radian)'''
+|'''Value'''
 |- class="odd"
@@ Line 31: / Line 33: @@
 | 0.309519604
 |}
+==Related Videos==
+{{#ev:youtube|vfOWS8Y_rQw|280|center|Inverse Hyperbolic TAN}}
 ==See Also==
@@ Line 43: / Line 49: @@
 *[http://en.wikipedia.org/wiki/Trigonometric_functions List of Trigonometric Functions]
 *[http://en.wikipedia.org/wiki/Hyperbolic_function  Hyperbolic Function]
+*[[Z_API_Functions | List of Main Z Functions]]
+*[[ Z3 |   Z3 home ]]