# Manual Reference Pages  - SINH (P)

### PROLOG

This manual page is part of the POSIX Programmer’s Manual. The Linux implementation of this interface may differ (consult the corresponding Linux manual page for details of Linux behavior), or the interface may not be implemented on Linux.

### CONTENTS

Name
Synopsis
Description
Return Value
Errors
Examples
Application Usage
Rationale
Future Directions

### NAME

sinh, sinhf, sinhl - hyperbolic sine functions

### SYNOPSIS

#include <math.h>

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

### DESCRIPTION

These functions shall compute the hyperbolic sine of their argument x.

An application wishing to check for error situations should set errno to zero and call feclearexcept(FE_ALL_EXCEPT) before calling these functions. On return, if errno is non-zero or fetestexcept(FE_INVALID | FE_DIVBYZERO | FE_OVERFLOW | FE_UNDERFLOW) is non-zero, an error has occurred.

### RETURN VALUE

Upon successful completion, these functions shall return the hyperbolic sine of x.

If the result would cause an overflow, a range error shall occur and ±HUGE_VAL, ±HUGE_VALF, and ±HUGE_VALL (with the same sign as x) shall be returned as appropriate for the type of the function.

If x is NaN, a NaN shall be returned.

If x is ±0 or ±Inf, x shall be returned.

If x is subnormal, a range error may occur and x should be returned.

### ERRORS

These functions shall fail if:
Range Error
The result would cause an overflow.
If the integer expression (math_errhandling & MATH_ERRNO) is non-zero, then errno shall be set to [ERANGE]. If the integer expression (math_errhandling & MATH_ERREXCEPT) is non-zero, then the overflow floating-point exception shall be raised.

These functions may fail if:
Range Error
The value x is subnormal.
If the integer expression (math_errhandling & MATH_ERRNO) is non-zero, then errno shall be set to [ERANGE]. If the integer expression (math_errhandling & MATH_ERREXCEPT) is non-zero, then the underflow floating-point exception shall be raised.

The following sections are informative.

None.

### APPLICATION USAGE

On error, the expressions (math_errhandling & MATH_ERRNO) and (math_errhandling & MATH_ERREXCEPT) are independent of each other, but at least one of them must be non-zero.

None.

None.