# ATANHDAX Function (Math and Trig)

Returns the inverse hyperbolic tangent of a number. Number must be between -1 and 1 (excluding -1 and 1). The inverse hyperbolic tangent is the value whose hyperbolic tangent is number, so ATANH(TANH(number)) equals number.

## Syntax

ATANH ( <Number> )
Parameter Attributes Description
Number

Any real number between 1 and -1.

## Return values

Scalar A single decimal value.

## Remarks

Returns the inverse hyperbolic tangent of a number.

## Examples

```--  SINH, COSH, ASINH, ACOSH, TANH, ATANH, COTH, ACOTH
--  are the standard hyperbolic trigonometrical functions.
--
--  Where required, the arguments are specified in radians.
DEFINE
VAR Vals = GENERATESERIES ( -PI()+0.001, PI(), PI()/4 )
EVALUATE
Vals,
"Value (nπ)",
VAR ImproperQuartersOfPi = ROUND ( ABS ( [Value] / PI () * 4 ), 0 )
VAR WholePis = ROUNDDOWN ( ImproperQuartersOfPi / 4, 0 )
VAR ProperQuartersOfPi = MOD ( ImproperQuartersOfPi, 4 )
RETURN
IF ( ROUND ( [Value], 0 ) < 0, "-" )
& IF ( WholePis <> 0 && ImproperQuartersOfPi <> 4, WholePis )
& IF ( ProperQuartersOfPi <> 0, UNICHAR ( 187 + ProperQuartersOfPi ) )
& IF ( ImproperQuartersOfPi = 0, "0", "π" ),
"SINH",      SINH ( [Value] ),
"ASINH",     ASINH ( SINH ( [Value] ) ),
"COSH",      COSH ( [Value] ),
"ACOSH",     ACOSH ( COSH ( [Value] ) ),
"TANH",      TANH ( [Value] ),
"ATANH",     ATANH ( TANH ( [Value] ) ),
"COTH",      COTH ( [Value] ),
"ACOTH",     ACOTH ( COTH ( [Value] ) )
)
```
Value Value (nπ) SINH ASINH COSH ACOSH TANH ATANH COTH ACOTH
-3.14 -11.54 -3.14 11.58 3.14 -1.00 -3.14 -1.00 -3.14
-2.36 -¾π -5.22 -2.36 5.32 2.36 -0.98 -2.36 -1.02 -2.36
-1.57 -½π -2.30 -1.57 2.51 1.57 -0.92 -1.57 -1.09 -1.57
-0.78 -¼π -0.87 -0.78 1.32 0.78 -0.66 -0.78 -1.53 -0.78
0.00 0 0.00 0.00 1.00 0.00 0.00 0.00 1,000.00 0.00
0.79 ¼π 0.87 0.79 1.33 0.79 0.66 0.79 1.52 0.79
1.57 ½π 2.30 1.57 2.51 1.57 0.92 1.57 1.09 1.57
2.36 ¾π 5.23 2.36 5.33 2.36 0.98 2.36 1.02 2.36

Last update: Jun 13, 2024     » Show contributors

Contributors: Alberto Ferrari, Marco Russo, Kenneth Barber

Microsoft documentation: https://docs.microsoft.com/en-us/dax/atanh-function-dax

# Context Transition

This function performs a Context Transition if called in a Row Context. Click to read more.

# Row Context

This expression is executed in a Row Context. Click to read more.

# Not recommended

The use of this function is not recommended. See Remarks and Related functions for alternatives.

# Not recommended

The use of this parameter is not recommended.

# Deprecated

This function is deprecated. Jump to the Alternatives section to see the function to use.

# Volatile

A volatile function may return a different result every time you call it, even if you provide the same arguments. Click to read more.

# Deprecated

This parameter is deprecated and its use is not recommended.

# DirectQuery compatibility

Limitations are placed on DAX expressions allowed in measures and calculated columns.
The state below shows the DirectQuery compatibility of the DAX function.

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