CACOS(3)               FreeBSD Library Functions Manual               CACOS(3)

NAME
     cacos, cacosf, cacosl, cacosh, cacoshf, cacoshl, casin, casinf, casinl,
     casinh, casinhf, casinhl, catan, catanf, catanl, catanh, catanhf, catanhl
     - complex inverse trigonometric and hyperbolic functions

LIBRARY
     Math Library (libm, -lm)

SYNOPSIS
     #include <complex.h>

     double complex
     cacos(double complex z);

     float complex
     cacosf(float complex z);

     long double complex
     cacosl(long double complex z);

     double complex
     cacosh(double complex z);

     float complex
     cacoshf(float complex z);

     long double complex
     cacoshl(long double complex z);

     double complex
     casin(double complex z);

     float complex
     casinf(float complex z);

     long double complex
     casinl(long double complex z);

     double complex
     casinh(double complex z);

     float complex
     casinhf(float complex z);

     long double complex
     casinhl(long double complex z);

     double complex
     catan(double complex z);

     float complex
     catanf(float complex z);

     long double complex
     catanl(long double complex z);

     double complex
     catanh(double complex z);

     float complex
     catanhf(float complex z);

     long double complex
     catanhl(long double 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 tangent.  The
     cacosf(), casinf(), catanf() cacoshf(), casinhf(), and catanhf()
     functions perform the same operations in float precision.  The cacosl(),
     casinl(), catanl() cacoshl(), casinhl(), and catanhl() functions perform
     the same operations in long double 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) <union> (1, infinity)            [0, pi]
     casin           (-infinity, -1) <union> (1, infinity)            [-pi/2, pi/2]
     catan           (-infinity*I, -I) <union> (I, infinity*I)        [-pi/2, pi/2]
     cacosh          (-infinity, 1)                                   [-pi*I, pi*I]
     casinh          (-infinity*I, -I) <union> (I, infinity*I)        [-pi/2*I, pi/2*I]
     catanh          (-infinity, -1) <union> (1, infinity)            [-pi/2*I, pi/2*I]

SEE ALSO
     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").

FreeBSD 13.1-RELEASE-p6        February 15, 2017       FreeBSD 13.1-RELEASE-p6