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.

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

References

List of Main Z Functions

Z3 home

@@ 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). Also ATANH(TANH(z))=z
+*ATANH(1)=Infinty
 == Examples ==
-'''ACOSH(z)'''
+'''ATANH(z)'''
-*'''z''' is any real number.
+*'''z''' is any real number between -1 & 1.
 {|id="TABLE1" class="SpreadSheet blue"
 |- class="even"
-|'''ACOSH(z)'''
+|'''ATANH(z)'''
-|'''Value(Radian)'''
+|'''Value'''
 |- class="odd"
-| ACOSH(1)
+| ATANH(0.1)
-| 0
+| 0.100353477
 |- class="even"
-| ACOSH(30)
+| ATANH(0.75)
-| 4.0940666863209
+| 0.97295507
 |- class="odd"
-| ACOSH(90)
+| ATANH(-0.3)
-| 5.192925985263806
+| 0.309519604
 |}
+==Related Videos==
+{{#ev:youtube|vfOWS8Y_rQw|280|center|Inverse Hyperbolic TAN}}
 ==See Also==
@@ Line 41: / 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 ]]