sinh(3)sinh(3)NAME
sinh, cosh, tanh - Hyperbolic functions
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 );
LIBRARY
Math Library (libm)
STANDARDS
Interfaces documented on this reference page conform to industry stan‐
dards 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 tan‐
gent 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 excep‐
tional 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 * S_FLOAT 42B2D4FC 89.41599
max_float)
T_FLOAT 408633CE8FB9F87E 710.475860073943
─────────────────────────────────────────────────────────────────
sinh(3)
