Calculates the hyperbolic sine of a complex number

#include <complex.h>
double complex csinh ( double complex z  );
float complex csinhf ( float complex z  );
long double complex csinhl ( long double complex z  );

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

Example

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

v = csinh( z );
w = 0.5 * ( cexp(z) - cexp(-z) );

printf( "The csinh( ) 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 csinh( ) function returns 1.46 -0.46*I.
Using the cexp( ) function, the result is 1.46 -0.46*I.

See Also

ccosh( ), ctanh( ), cacosh( ), casinh( ), catanh( )