NAME tan - trigonometric tangent SYNOPSIS tan(x [,eps]) TYPES x number (real or complex) eps 0 < real < 1, defaults to epsilon() return real DESCRIPTION Calculate the tangent of x to a multiple of eps, with error less in absolute value than .75 * eps. This function is equivalent to: tan(x) = sin(x) / cos(x) EXAMPLE ; print tan(1, 1e-5), tan(1, 1e-10), tan(1, 1e-15), tan(1, 1e-20) 1.55741 1.5574077247 1.557407724654902 1.55740772465490223051 ; print tan(2 + 3i, 1e-5), tan(2 + 3i, 1e-10) ~-0.00376408798745471014+~1.00323845857938817252i ~-0.00376402563894634508+~1.00323862734859967572i ; pi = pi(1e-20) ; print tan(0, 1e-10), tan(pi/6, 1e-10), tan(pi/3, 1e-10), tan(pi, 1e-10) 0 0.5773502692 1.7320508076 0 ; print tan(1/2), tan(5/7), tan(42/7) 0.54630248984379051326 0.8670082185107029875 -0.29100619138474915705 LIMITS 0 < eps < 1 LINK LIBRARY NUMBER *qtan(NUMBER *x, NUMBER *eps) COMPLEX *c_tan(COMPLEX *c, NUMBER *eps) SEE ALSO sin, cos, cot, sec, csc asin, acos, atan, acot, asec, acsc versin, coversin, vercos, avercos aversin, acoversin, covercos, acovercos epsilon ## Copyright (C) 1999,2023 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 01:40:29 ## File existed as early as: 1994 ## ## chongo /\oo/\ http://www.isthe.com/chongo/ ## Share and enjoy! :-) http://www.isthe.com/chongo/tech/comp/calc/