C in a Nutshell

Name

ctanh

Synopsis

Calculates the hyperbolic tangent of a complex number

#include <complex.h>
double complexctanh( double complex z );
float complex ctanhf( float complex z );
long double complex ctanhl( long double complex z );

The hyperbolic tangent of a complex number z is equal to sinh(z) / cosh(z). The ctanh functions return the hyperbolic tangent of their complex argument.

Example

double complex v, w, z =  -0.5 + 1.23 * I;

v =ctanh( z );
w = csinh( z ) / ccosh( z );

printf("The ctanh() function returns %.2f %+.2f*I.\n", creal(v), cimag(v) );
printf("Using the csinh() and ccosh() functions yields %.2f %+.2f*I.\n",
        creal(w), cimag(w) );

This code produces the following output:

The ctanh() function returns -1.53 +0.82*I.
Using the csinh() and ccosh() functions yields -1.53 +0.82*I.

See Also

ccosh(), csinh(), cacosh(), casinh(), catanh()