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calc/help/cos
Landon Curt Noll a722b5cca7 update major trigonometric help files and regression tests
Improved help files for sin, cos, tan, cot, sec, csc.  In case
of tan, cot, sec, csc corrected help file was corrected to
indicate that complex arguments are allowed.  This was a help
file oversight from long ago when those trigonometric functions

Expanded the calc regression test suite test 34dd to test various
real and complex values for sin, cos, tan, cot, sec, csc.
2023-09-10 16:33:31 -07:00

66 lines
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NAME
cos - trigonometric cosine
SYNOPSIS
cos(x [,eps])
TYPES
x number (real or complex)
eps 0 < real < 1, defaults to epsilon()
return number
DESCRIPTION
Calculate the cosine of x to a multiple of eps with error less in
absolute value than .75 * eps.
EXAMPLE
; print cos(1, 1e-5), cos(1, 1e-10), cos(1, 1e-15), cos(1, 1e-20)
0.5403 0.5403023059 0.54030230586814 0.5403023058681397174
; print cos(2 + 3i, 1e-5), cos(2 + 3i, 1e-10)
-4.18963-9.10923i -4.189625691-9.1092278938i
; pi = pi(1e-20)
; print cos(pi/3, 1e-10), cos(pi/2, 1e-10), cos(pi, 1e-10)
0.5 0 -1
; print cos(1/2), cos(5/7), cos(42/7)
0.87758256189037271612 0.75556134670069659847 0.96017028665036602055
LIMITS
0 < eps < 1
LINK LIBRARY
NUMBER *qcos(NUMBER *x, NUMBER *eps)
COMPLEX *c_cos(COMPLEX *x, NUMBER *eps)
SEE ALSO
sin, tan, cot, sec, csc
asin, acos, atan, acot, asec, acsc
versin, coversin, vercos, avercos
aversin, acoversin, covercos, acovercos
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: 1994/03/19 01:40:27
## File existed as early as: 1994
##
## chongo <was here> /\oo/\ http://www.isthe.com/chongo/
## Share and enjoy! :-) http://www.isthe.com/chongo/tech/comp/calc/