---
name: "csinh"
section: "3"
platform: "linux"
package: "man-pages"
version: "6.19-1"
release: "Arch Linux 2026-11-01"
platforms: ["linux", "freebsd"]
url: "https://new.carta.tech/csinh"
---

# csinh(3)

complex hyperbolic sine

## NAME

csinh, csinhf, csinhl - complex hyperbolic sine

## LIBRARY

Math library (*libm*, *-lm*)

## SYNOPSIS

```
#include <complex.h>
```

**double complex csinh(double complex** *z***);** **float complex csinhf(float complex** *z***);** **long double complex csinhl(long double complex** *z***);**

## DESCRIPTION

These functions calculate the complex hyperbolic sine of *z*.

The complex hyperbolic sine function is defined as:

```
csinh(z) = (exp(z)-exp(-z))/2
```

## ATTRIBUTES

For an explanation of the terms used in this section, see [**attributes**(7)](/attributes/7.md).

| | | |
| --- | --- | --- |
| **Interface** | **Attribute** | **Value** |
| **csinh**(), **csinhf**(), **csinhl**() | Thread safety | MT-Safe |

## STANDARDS

C11, POSIX.1-2008.

## HISTORY

glibc 2.1. C99, POSIX.1-2001.

## SEE ALSO

[**cabs**(3)](/cabs/3.md), [**casinh**(3)](/casinh/3.md), [**ccosh**(3)](/ccosh/3.md), [**ctanh**(3)](/ctanh/3.md), [**complex**(7)](/complex/7.md)