# csinhf(3) [osx man page]

```CSINH(3)						   BSD Library Functions Manual 						  CSINH(3)

NAME
csinh -- complex hyperbolic sine function

SYNOPSIS
#include <complex.h>

double complex
csinh(double complex z);

long double complex
csinhl(long double complex z);

float complex
csinhf(float complex z);

DESCRIPTION
csin(z) computes the hyperbolic sine of the complex floating-point number z.

For all complex floating point numbers z,

csinh(conj(z)) = conj(csinh(z)),
csinh(-z) = -csinh(z).

SPECIAL VALUES
The symmetries of csinh() are used to abbreviate the specification of special values.

csinh(0 + 0i) returns 0 + 0i.

csinh(0 + inf i) returns 0 + NaN i, and raises the invalid flag.

csinh(0 + NaN i) returns 0 + NaN i.

csinh(x + inf i) returns NaN + NaN i, and raises the invalid flag, for finite nonzero x.

csinh(x + NaN i) returns NaN + NaN i, for finite nonzero x.

csinh(inf + 0i) returns inf + 0i.

csinh(inf + yi) returns inf * cis(y), for finite positive y, where cis(y) = cos(y) + i*sin(y).

csinh(inf + inf i) returns inf + NaN i, and raises the invalid flag.

csinh(inf + NaN i) returns inf + NaN i.

csinh(NaN + 0i) returns NaN + 0i.

csinh(NaN + yi) returns NaN + NaN i, for nonzero numbers y.

csinh(NaN + NaN i) returns NaN + NaN i.

NOTES
SEE ALSO
csin(3) complex(3)

STANDARDS
The csinh() function conforms to ISO/IEC 9899:2011.

4th Berkeley Distribution					 December 11, 2006					 4th Berkeley Distribution```

## Check Out this Related Man Page

```CASINH(3)						   BSD Library Functions Manual 						 CASINH(3)

NAME
casinh -- complex inverse hyperbolic sine function

SYNOPSIS
double complex
casinh(double complex z);

long double complex
casinhl(long double complex z);

float complex
casinhf(float complex z);

DESCRIPTION
casinh(z) computes the inverse hyperbolic sine of the complex floating-point number z, with branch cuts outside the interval [-i, i] along
the imaginary axis.

casinh() returns values in a strip of the complex plane with imaginary part in the interval [-Pi/2, Pi/2].

For all complex floating point numbers z,

casinh(conj(z)) = conj(casinh(z)).
casinh(-z) = -casinh(z)

SPECIAL VALUES
The symmetries of casinh() are used to abbreviate the specification of special values.

casinh(0 + 0i) returns 0 + 0 i.

casinh(x + inf i) returns inf + Pi/2 i, for finite positive-signed x.

casinh(x + NaN i) returns NaN + NaN i, for finite x.

casinh(inf + yi) returns inf + 0i, for finite positive-signed y.

casinh(inf + inf i) returns inf + Pi/4 i.

casinh(inf + NaN i) returns inf + NaN i.

casinh(NaN + 0i) returns NaN + 0i.

casinh(NaN + yi) returns NaN + NaN i, for finite y.

casinh(NaN + inf i) returns inf + NaN i.

casinh(NaN + NaN i) returns NaN + NaN i.

NOTES
SEE ALSO
csinh(3) complex(3)

STANDARDS
The casinh() function conforms to ISO/IEC 9899:2011.

4th Berkeley Distribution					 December 11, 2006					 4th Berkeley Distribution```
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