C in a Nutshell

Name

ccosh

Synopsis

Calculates the hyperbolic cosine of a complex number

#include <complex.h>
double complexccosh( double complex z );
float complex ccoshf( float complex z );
long double complex ccoshl( long double complex z );

The hyperbolic cosine of a complex number z is equal to (exp(z) + exp(-z)) / 2. The ccosh functions return the hyperbolic cosine of their complex argument.

Example

double complex v, w, z = 1.2 − 3.4 * I;

v =ccosh( z );
w = 0.5 * ( cexp(z) + cexp(-z) );

printf( "The ccosh() function returns %.2f %+.2f*I.\n",
        creal(v), cimag(v) );
printf( "Using the cexp() function, the result is %.2f %+.2f*I.\n",
        creal(w), cimag(w) );

This code produces the following output:

The ccosh() function returns -1.75 +0.39*I.
Using the cexp() function, the result is -1.75 +0.39*I.

See Also

csinh(), ctanh(), cacosh(), casinh(), catanh()