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94 lines
3.0 KiB
Plaintext
94 lines
3.0 KiB
Plaintext
NAME
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acot - inverse trigonometric cotangent
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SYNOPSIS
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acot(x [,eps])
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TYPES
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x number (real or complex)
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eps 0 < real < 1, defaults to epsilon()
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return real
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DESCRIPTION
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Returns the inverse trigonometric cotangent of x to a multiple of eps with error less in
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absolute value than .75 * eps.
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This function is sometimes called arccot.
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EXAMPLE
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; print acot(0), acot(0.5), acot(1)
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1.57079632679489661923 1.10714871779409050302 0.78539816339744830962
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; print acot(-0.5), acot(-1)
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2.03444393579570273544 2.35619449019234492885
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; print acot(.5, 1e-5), acot(.5, 1e-10), acot(.5, 1e-15), acot(.5, 1e-20)
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1.10715 1.1071487178 1.107148717794091 1.10714871779409050302
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; print acot(5), acot(5i)
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0.19739555984988075837 -0.20273255405408219099i
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; print acot(5+5i)
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0.10065855418732038003-0.09932544936725086122i
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; pi = pi(1e-20)
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; print acot(pi/6), acot(pi/3)
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1.08844841969387164375 0.76234753416487458792
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; print acot(4*pi/3)
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0.23434608748833616077
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LIMITS
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0 < eps < 1
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LINK LIBRARY
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NUMBER *qacot(NUMBER *x, NUMBER *eps)
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COMPLEX *c_acot(COMPLEX *c, NUMBER *epsilon)
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SEE ALSO
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sin, cos, tan, cot, sec, csc
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asin, acos, atan, asec, acsc
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versin, coversin, vercos, covercos
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aversin, acoversin, avercos, acovercos
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haversin, hacoversin, havercos, hacovercos
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ahaversin, hacoversin, havercos, ahacovercos
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exsec, aexsec, excsc, aexcsc
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crd, acrd
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cas, cis
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epsilon
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EXTERNAL RESOURCES
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For general information on trigonometric functions, see:
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https://en.wikipedia.org/wiki/Trigonometric_functions#Unit-circle_definitions
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https://en.wikipedia.org/wiki/Versine
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https://en.wikipedia.org/wiki/Exsecant
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https://en.wikipedia.org/wiki/Inverse_trigonometric_functions
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https://en.wikipedia.org/wiki/Chord_(geometry)
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https://en.wikipedia.org/wiki/Secant_line
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https://en.wikipedia.org/wiki/Hartley_transform#cas
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https://en.wikipedia.org/wiki/Cis_(mathematics)
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## Copyright (C) 1999,2021,2023 Landon Curt Noll
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##
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## Calc is open software; you can redistribute it and/or modify it under
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## the terms of the version 2.1 of the GNU Lesser General Public License
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## as published by the Free Software Foundation.
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##
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## Calc is distributed in the hope that it will be useful, but WITHOUT
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## ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
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## or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General
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## Public License for more details.
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##
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## A copy of version 2.1 of the GNU Lesser General Public License is
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## distributed with calc under the filename COPYING-LGPL. You should have
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## received a copy with calc; if not, write to Free Software Foundation, Inc.
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## 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301, USA.
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##
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## Under source code control: 1995/11/13 03:49:00
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## File existed as early as: 1995
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##
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## chongo <was here> /\oo/\ http://www.isthe.com/chongo/
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## Share and enjoy! :-) http://www.isthe.com/chongo/tech/comp/calc/
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