## Acoth(x)

##### Last updated November 29, 2001

**Version:** 1 |
**Requires:** CF5 |
**Library:** MathLib

**Description:**

Returns the inverse hyperbolic cotangent of a value. All angles are expressed in radians.

**Return Values:**

Returns a numeric value or string.

**Example:**

```
<CFSET x=1.5>
<CFSET y=0>
<CFSET z=-1.5>
<CFOUTPUT>
Given x=#x#<BR>
Given y=#y#<BR>
Given z=#z#<BR>
The Acoth of #x# is: #Acoth(x)# radians<BR>
The Acoth of #y# is: #Acoth(y)# radians<BR>
The Acoth of #z# is: #Acoth(z)# radians<BR>
</CFOUTPUT>
```

**Parameters:**

Name | Description | Required |
---|---|---|

x | x>1, x<-1 | Yes |

**Full UDF Source: **

```
/**
* Returns the inverse hyperbolic cotangent of a value.
*
* @param x x>1, x<-1
* @return Returns a numeric value or string.
* @author Rob Brooks-Bilson (rbils@amkor.com)
* @version 1, November 29, 2001
*/
function Acoth(x){
if (x lt -1)
return Log((x+1)/(x-1))/2;
else
if (x gt 1)
return Log((x+1)/(x-1))/2;
else
return "undefined";
}
```

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