NAME    [Toc]    [Back]

       sinh, cosh, tanh - Hyperbolic functions

SYNOPSIS    [Toc]    [Back]

       #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    [Toc]    [Back]

       Math Library (libm)

STANDARDS    [Toc]    [Back]

       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    [Toc]    [Back]

       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        *   S_FLOAT     42B2D4FC            89.41599
       max_float)
                       T_FLOAT     408633CE8FB9F87E    710.475860073943
       -----------------------------------------------------------------




                                                          sinh(3)