# NAME

sinh, sinhf, sinhl - hyperbolic sine function

# LIBRARY

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

# SYNOPSIS

``````#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

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

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

# RETURN VALUE

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

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

For an explanation of the terms used in this section, see attributes(7).

 Interface Attribute Value sinh(), sinhf(), sinhl() Thread safety MT-Safe

# STANDARDS

C11, POSIX.1-2008.

# HISTORY

C99, POSIX.1-2001.

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