# sinh(3) — Linux manual page

```sinh(3)                 Library Functions Manual                 sinh(3)
```

## NAME         top

```       sinh, sinhf, sinhl - hyperbolic sine function
```

## LIBRARY         top

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

## SYNOPSIS         top

```       #include <math.h>

double sinh(double x);
float sinhf(float x);
long double sinhl(long double x);

Feature Test Macro Requirements for glibc (see
feature_test_macros(7)):

sinhf(), sinhl():
_ISOC99_SOURCE || _POSIX_C_SOURCE >= 200112L
|| /* Since glibc 2.19: */ _DEFAULT_SOURCE
|| /* glibc <= 2.19: */ _BSD_SOURCE || _SVID_SOURCE
```

## DESCRIPTION         top

```       These functions return the hyperbolic sine of x, which is defined
mathematically as:

sinh(x) = (exp(x) - exp(-x)) / 2
```

## RETURN VALUE         top

```       On success, these functions return the hyperbolic sine of x.

If x is a NaN, a NaN is returned.

If x is +0 (-0), +0 (-0) is returned.

If x is positive infinity (negative infinity), positive infinity
(negative infinity) is returned.

If the result overflows, a range error occurs, and the functions
return HUGE_VAL, HUGE_VALF, or HUGE_VALL, respectively, with the
same sign as x.
```

## ERRORS         top

```       See math_error(7) for information on how to determine whether an
error has occurred when calling these functions.

The following errors can occur:

Range error: result overflow
errno is set to ERANGE.  An overflow floating-point
exception (FE_OVERFLOW) is raised.
```

## ATTRIBUTES         top

```       For an explanation of the terms used in this section, see
attributes(7).
┌─────────────────────────────────────┬───────────────┬─────────┐
│ Interface                           │ Attribute     │ Value   │
├─────────────────────────────────────┼───────────────┼─────────┤
│ sinh(), sinhf(), sinhl()            │ Thread safety │ MT-Safe │
└─────────────────────────────────────┴───────────────┴─────────┘
```

## STANDARDS         top

```       C11, POSIX.1-2008.
```

## HISTORY         top

```       C99, POSIX.1-2001.

The variant returning double also conforms to SVr4, 4.3BSD, C89.
```

```       acosh(3), asinh(3), atanh(3), cosh(3), csinh(3), tanh(3)