NAME
    acsc - inverse trigonometric cosecant

SYNOPSIS
    acsc(x [,eps])

TYPES
    x		number (real or complex)
    eps		0 < real < 1, defaults to epsilon()

    return	real

DESCRIPTION
    Returns the inverse trigonometric cosecant of x to a multiple of eps with error less in
    absolute value than .75 * eps.

    This function is sometimes called arccsc.

EXAMPLE
    ; print acsc(0), acsc(0.5), acsc(1)
    Error 10454 1.57079632679489661923-1.31695789692481670863i 1.57079632679489661923

    ; print acsc(-0.5), acsc(-1)
    -1.57079632679489661923+1.31695789692481670863i -1.57079632679489661923

    ; print acsc(.5, 1e-5), acsc(.5, 1e-10), acsc(.5, 1e-15)
    1.5708-1.31696i 1.5707963268-1.3169578969i 1.570796326794897-1.316957896924817i

    ; print acsc(.5, 1e-20)
    1.57079632679489661923-1.31695789692481670863i

    ; print acsc(5), acsc(5i)
    0.20135792079033079145 -0.19869011034924140648i

    ; print acsc(5+5i)
    0.09966370285979516002-0.10033029811220500594i

    ; pi = pi(1e-20)
    ; print acsc(pi/6), acsc(pi/3)
    1.57079632679489661923-1.26327680856656556834i 1.2694227170496051647

    ; print acsc(4*pi/3)
    0.24106031273407362824

LIMITS
    0 < eps < 1

LINK LIBRARY
    NUMBER *qacsc(NUMBER *x, NUMBER *eps)
    COMPLEX *c_acsc(COMPLEX *c, NUMBER *epsilon)

SEE ALSO
    sin, cos, tan, cot, sec, csc
    asin, acos, atan, acot, asec
    versin, coversin, vercos, covercos
    aversin, acoversin, avercos, acovercos
    haversin, hacoversin, havercos, hacovercos
    ahaversin, hacoversin, havercos, ahacovercos
    epsilon

## Copyright (C) 1999,2021,2023  Landon Curt Noll
##
## Calc is open software; you can redistribute it and/or modify it under
## the terms of the version 2.1 of the GNU Lesser General Public License
## as published by the Free Software Foundation.
##
## Calc is distributed in the hope that it will be useful, but WITHOUT
## ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
## or FITNESS FOR A PARTICULAR PURPOSE.	 See the GNU Lesser General
## Public License for more details.
##
## A copy of version 2.1 of the GNU Lesser General Public License is
## distributed with calc under the filename COPYING-LGPL.  You should have
## received a copy with calc; if not, write to Free Software Foundation, Inc.
## 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301, USA.
##
## Under source code control:	1995/11/13 03:49:00
## File existed as early as:	1995
##
## chongo <was here> /\oo/\	http://www.isthe.com/chongo/
## Share and enjoy!  :-)	http://www.isthe.com/chongo/tech/comp/calc/