cosh(3) [osf1 man page]

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

NAME
sinh, cosh, tanh - Hyperbolic functions

LIBRARY
Math Library (libm.a)

SYNOPSIS
#include <math.h>

double  sinh   (double  x);  float  sinhf (float  x); long double sinhl	(long double x); double cosh  (double x); float  coshf (float  x);
long double coshl  (long double x); double tanh	(double x); float  tanhf (float  x); long double tanhl	(long double x);

STANDARDS
Interfaces documented on this reference page conform to industry standards as follows:

cosh():	XPG4

sinh():	XPG4

tanh():	XPG4

DESCRIPTION
The sinh(), sinhf(), and sinhl() functions compute the hyperbolic sine of x.  Both sinh(x), sinhf(x), and sinhl(x) are defined as (exp(x) -
exp(-x))/2.

The  cosh(), coshf(),  and coshl() functions compute the hyperbolic cosine of x.  Both cosh(x), coshf(x), and coshl(x) are defined as (e**x
+ e**(-x))/2.

The tanh(), tanhf(), and tanhl() functions compute the hyperbolic tangent of x.	Both tanh(x), tanhf(x), and tanhl(x) are defined as  (e**x
- e**(-x))/(e**x + e**(-x)).

The following table describes function behavior in response to exceptional arguments:

--------------------------------------------------------------------
Function 		  Exceptional Argument	  Routine Behavior
--------------------------------------------------------------------
sinh(), sinhf(), sinhl()   |x|>ln(2 * max_float)   Overflow

cosh(), coshf(), coshl()   |x|>ln(2 * max_float)   Overflow
--------------------------------------------------------------------

The following table lists boundary values used by these functions:

---------------------------------------------------------------------
Value Name	   Data Type   Hexadecimal Value   Decimal Value
---------------------------------------------------------------------
ln(2 * max_float)   S_FLOAT     42B2D4FC 	   89.41599

T_FLOAT     408633CE8FB9F87E    710.475860073943
---------------------------------------------------------------------
delim off

sinh(3)```

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```cosh(3M)						  Mathematical Library Functions						  cosh(3M)

NAME
cosh, coshf, coshl - hyperbolic cosine function

SYNOPSIS
cc [ flag... ] file... -lm [ library... ]
#include <math.h>

double cosh(double x);

float coshf(float x);

long double coshl(long double x);

DESCRIPTION
These functions compute the hyperbolic cosine of their argument x.

RETURN VALUES
Upon successful completion, these functions return the hyperbolic cosine of x.

If  the	correct  value would cause overflow, a range error occurs and cosh(), coshf(), and coshl() return the value of the macro HUGE_VAL,
HUGE_VALF, and HUGE_VALL, respectively.

If x is NaN, a NaN is returned.

If x is +-0, 1.0 is returned.

If x is +-Inf, +-Inf is returned.

For exceptional cases, matherr(3M) tabulates the values to be returned by cosh() as specified by SVID3 and XPG3.

ERRORS
These functions will fail if:

Range Error     The result would cause an overflow.

If the integer expression (math_errhandling & MATH_ERREXCEPT) is non-zero, the overflow floating-point exception is raised.

The cosh() function sets errno to ERANGE if the result would cause an overflow.

USAGE
An application wanting to check for exceptions should call feclearexcept(FE_ALL_EXCEPT) before  calling	these  functions.  On  return,	if
fetestexcept(FE_INVALID	|  FE_DIVBYZERO  |  FE_OVERFLOW  |  FE_UNDERFLOW) is non-zero, an exception has been raised. An application should
either examine the return value or check the floating point exception flags to detect exceptions.

An application can also set errno to 0 before calling cosh(). On return, if errno is non-zero, an  error  has  occurred.  The  coshf()  and
coshl() functions do not set errno.

ATTRIBUTES
See attributes(5) for descriptions of the following attributes:

+-----------------------------+-----------------------------+
|      ATTRIBUTE TYPE	     |	    ATTRIBUTE VALUE	   |
+-----------------------------+-----------------------------+
|Interface Stability	     |Standard			   |
+-----------------------------+-----------------------------+
|MT-Level		     |MT-Safe			   |
+-----------------------------+-----------------------------+