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Index for Section 3 |
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Alphabetical listing for S |
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sinh(3)
NAME
sinh, cosh, tanh, sinhcosh - Hyperbolic functions
LIBRARY
Math Library (libm.a)
SYNOPSIS
#include <math.h>
double sinh (double x);
float sinhf (float x);
double cosh (double x);
float coshf (float x);
double tanh (double x);
float tanhf (float x);
double sinhcosh (double x);
float sinhcoshf (float 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() and sinhf() functions compute the hyperbolic sine of x. Both
sinh(x) and sinhf(x) are defined as (exp(x) - exp(-x))/2.
The cosh() and coshf() functions compute the hyperbolic cosine of x. Both
cosh(x) and coshf(x) are defined as (e**x + e**(-x))/2.
The tanh() and tanhf() functions compute the hyperbolic tangent of x. Both
tanh(x) and tanhf(x) are defined as (e**x - e**(-x))/(e**x + e**(-x)).
The sinhcosh() and sinhcoshf() functions compute both the hyperbolic sine
and hyperbolic cosine of x. Both sinhcosh(x) and sinhcoshf(x) are defined
as sinh x + icosh x.
The following table describes function behavior in response to exceptional
arguments:
__________________________________________________________________
Function Exceptional Argument Routine Behavior
__________________________________________________________________
sinh(), sinhf() |x|>ln(2 * max_float) Overflow
cosh(), coshf() |x|>ln(2 * max_float) Overflow
sinhcosh(), sinhcoshf() |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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