## Linux and UNIX Man Pages

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# casinf(3) [freebsd man page]

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

NAME
cacos, cacosf, cacosh, cacoshf, casin, casinf casinh, casinhf catan, catanf catanh, catanhf -- complex arc trigonometric and hyperbolic func-
tions

LIBRARY
Math Library (libm, -lm)

SYNOPSIS
#include <complex.h>

double complex
cacos(double complex z);

float complex
cacosf(float complex z);

double complex
cacosh(double complex z);

float complex
cacoshf(float complex z);

double complex
casin(double complex z);

float complex
casinf(float complex z);

double complex
casinh(double complex z);

float complex
casinhf(float complex z);

double complex
catan(double complex z);

float complex
catanf(float complex z);

double complex
catanh(double complex z);

float complex
catanhf(float complex z);

DESCRIPTION
The cacos(), casin(), and catan() functions compute the principal value of the inverse cosine, sine, and tangent of the complex number z,
respectively.  The cacosh(), casinh(), and catanh() functions compute the principal value of the inverse hyperbolic cosine, sine, and tan-
gent.  The cacosf(), casinf(), catanf() cacoshf(), casinhf(), and catanhf() functions perform the same operations in float precision.

There is no universal convention for defining the principal values of these functions. The following table gives the branch cuts, and the
corresponding ranges for the return values, adopted by the C language.

Function	 Branch Cut(s)				Range
cacos	 (-infinity, -1) U (1, infinity)	[0, pi]
casin	 (-infinity, -1) U (1, infinity)	[-pi/2, pi/2]
catan	 (-infinity*I, -i) U (I, infinity*I)	[-pi/2, pi/2]
cacosh	 (-infinity, 1) 			[-pi*I, pi*I]
casinh	 (-infinity*I, -i) U (I, infinity*I)	[-pi/2*I, pi/2*I]
catanh	 (-infinity, -1) U (1, infinity)	[-pi/2*I, pi/2*I]

ccos(3), ccosh(3), complex(3), cos(3), math(3), sin(3), tan(3)

STANDARDS
These functions conform to ISO/IEC 9899:1999 (``ISO C99'').

BSD								   May 27, 2013 							       BSD```

## Check Out this Related Man Page

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

NAME
cacos, cacosf, cacosh, cacoshf, casin, casinf casinh, casinhf catan, catanf catanh, catanhf -- complex arc trigonometric and hyperbolic func-
tions

LIBRARY
Math Library (libm, -lm)

SYNOPSIS
#include <complex.h>

double complex
cacos(double complex z);

float complex
cacosf(float complex z);

double complex
cacosh(double complex z);

float complex
cacoshf(float complex z);

double complex
casin(double complex z);

float complex
casinf(float complex z);

double complex
casinh(double complex z);

float complex
casinhf(float complex z);

double complex
catan(double complex z);

float complex
catanf(float complex z);

double complex
catanh(double complex z);

float complex
catanhf(float complex z);

DESCRIPTION
The cacos(), casin(), and catan() functions compute the principal value of the inverse cosine, sine, and tangent of the complex number z,
respectively.  The cacosh(), casinh(), and catanh() functions compute the principal value of the inverse hyperbolic cosine, sine, and tan-
gent.  The cacosf(), casinf(), catanf() cacoshf(), casinhf(), and catanhf() functions perform the same operations in float precision.

There is no universal convention for defining the principal values of these functions. The following table gives the branch cuts, and the
corresponding ranges for the return values, adopted by the C language.

Function	 Branch Cut(s)				Range
cacos	 (-infinity, -1) U (1, infinity)	[0, pi]
casin	 (-infinity, -1) U (1, infinity)	[-pi/2, pi/2]
catan	 (-infinity*I, -i) U (I, infinity*I)	[-pi/2, pi/2]
cacosh	 (-infinity, 1) 			[-pi*I, pi*I]
casinh	 (-infinity*I, -i) U (I, infinity*I)	[-pi/2*I, pi/2*I]
catanh	 (-infinity, -1) U (1, infinity)	[-pi/2*I, pi/2*I]