Name
csinh
Synopsis
Calculates the hyperbolic sine of a complex number
#include <complex.h> double complexcsinh
( double complexz
); float complexcsinhf
( float complexz
); long double complexcsinhl
( long double complexz
);
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.
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