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sinh(3)  —  Subroutines

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

Refer to the standards(5) reference page for more information about industry standards and associated tags. 

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

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