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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 ____________________________________________________________________