> ## Documentation Index
> Fetch the complete documentation index at: https://docs.firebolt.io/llms.txt
> Use this file to discover all available pages before exploring further.

> Reference material for CSCH function

# CSCH

Calculates the hyperbolic cosecant of a provided value.

## Syntax

```sql theme={"theme":{"light":"css-variables","dark":"css-variables"}}
CSCH(<value>)
```

## Parameters

| Parameter | Description                                                 | Supported input types |
| :-------- | :---------------------------------------------------------- | :-------------------- |
| `<value>` | The value that determines the returned hyperbolic cosecant. | `DOUBLE PRECISION`    |

## Return Type

`DOUBLE PRECISION`

`CSCH` is the reciprocal of `SINH`, which is zero only at zero, so an argument of zero raises a division-by-zero error. A large argument gives an infinite hyperbolic sine, whose reciprocal is zero.

## Example

`CSCH` is `1 / SINH`, so at `LN(2)` it is `1 / 0.75`, or `4/3`:

<div className="query-window">
  ```
  SELECT CSCH(LN(2)) as result;
  ```

  | result <span>double</span> |
  | :------------------------- |
  | 1.3333333333333333         |

  <p><span>Rows: 1</span><span>Execution time: 5.21ms</span></p>
</div>

`CSCH` is odd, so a negative argument gives a negative result:

<div className="query-window">
  ```
  SELECT CSCH(-2) as result;
  ```

  | result <span>double</span> |
  | :------------------------- |
  | -0.2757205647717832        |

  <p><span>Rows: 1</span><span>Execution time: 5.21ms</span></p>
</div>