# COTH

Returns the hyperbolic cotangent of a hyperbolic angle.

## Syntax

```
COTH (<number>)
```

### Parameters

Term | Definition |
---|---|

number | The hyperbolic angle in radians for which you want the hyperbolic cotangent. |

## Return value

The hyperbolic cotangent of the given angle.

## Remarks

The hyperbolic cotangent is an analog of the ordinary (circular) cotangent.

The absolute value of number must be less than $2^{27}$ and cannot be 0.

If number is outside its constraints, an error is returned

If number is a non-numeric value, an error is returned.

The following equation is used:

$$\text{COTH}(N) = \frac{1}{\text{TANH}(N)} = \frac{\text{COSH(N)}}{\text{SINH(N)}} = \frac{e^{N} + e^{-N}}{e^{N} - e^{-N}}$$

This function is not supported for use in DirectQuery mode when used in calculated columns or row-level security (RLS) rules.

## Example

The following DAX query,

```
EVALUATE { COTH(2) }
```

Returns

[Value] |
---|

1.03731472072755 |

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