1math::trig(n) Tcl Math Library math::trig(n)
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6
8 math::trig - Trigonometric anf hyperbolic functions
9
11 package require Tcl 8.5
12 package require math::trig 1.0.0
14 ::math::trig::radian_reduced angle
16 ::math::trig::degree_reduced angle
18 ::math::trig::cosec angle
20 ::math::trig::sec angle
22 ::math::trig::cotan angle
24 ::math::trig::acosec value
26 ::math::trig::asec value
28 ::math::trig::acotan value
30 ::math::trig::cosech value
32 ::math::trig::sech value
34 ::math::trig::cotanh value
36 ::math::trig::asinh value
38 ::math::trig::acosh value
40 ::math::trig::atanh value
42 ::math::trig::acosech value
44 ::math::trig::asech value
46 ::math::trig::acotanh value
48 ::math::trig::sind angle
50 ::math::trig::cosd angle
52 ::math::trig::tand angle
54 ::math::trig::cosecd angle
56 ::math::trig::secd angle
58 ::math::trig::cotand angle
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62
64 The math::trig package defines a set of trigonomic and hyperbolic func‐
65 tions and their inverses. In addition it defines versions of the trigo‐
66 nomic functions that take arguments in degrees instead of radians.
67 For easy use these functions may be imported into the tcl::mathfunc
69 namespace, so that they can be used directly in the expr command.
70
72 The functions radian_reduced and degree_reduced return a reduced angle,
73 in respectively radians and degrees, in the intervals [0, 2pi) and [0,
74 360):
75 ::math::trig::radian_reduced angle
77 Return the equivalent angle in the interval [0, 2pi).
78 float angle
80 Angle (in radians)
81 ::math::trig::degree_reduced angle
83 Return the equivalent angle in the interval [0, 360).
84 float angle
86 Angle (in degrees)
87 The following trigonomic functions are defined in addition to the ones
89 defined in the expr command:
90 ::math::trig::cosec angle
92 Calculate the cosecant of the angle (1/cos(angle))
93 float angle
95 Angle (in radians)
96 ::math::trig::sec angle
98 Calculate the secant of the angle (1/sin(angle))
99 float angle
101 Angle (in radians)
102 ::math::trig::cotan angle
104 Calculate the cotangent of the angle (1/tan(angle))
105 float angle
107 Angle (in radians)
108 For these functions also the inverses are defined:
110 ::math::trig::acosec value
112 Calculate the arc cosecant of the value
113 float value
115 Value of the argument
116 ::math::trig::asec value
118 Calculate the arc secant of the value
119 float value
121 Value of the argument
122 ::math::trig::acotan value
124 Calculate the arc cotangent of the value
125 float value
127 Value of the argument
128 The following hyperbolic and inverse hyperbolic functions are defined:
130 ::math::trig::cosech value
132 Calculate the hyperbolic cosecant of the value (1/sinh(value))
133 float value
135 Value of the argument
136 ::math::trig::sech value
138 Calculate the hyperbolic secant of the value (1/cosh(value))
139 float value
141 Value of the argument
142 ::math::trig::cotanh value
144 Calculate the hyperbolic cotangent of the value (1/tanh(value))
145 float value
147 Value of the argument
148 ::math::trig::asinh value
150 Calculate the arc hyperbolic sine of the value
151 float value
153 Value of the argument
154 ::math::trig::acosh value
156 Calculate the arc hyperbolic cosine of the value
157 float value
159 Value of the argument
160 ::math::trig::atanh value
162 Calculate the arc hyperbolic tangent of the value
163 float value
165 Value of the argument
166 ::math::trig::acosech value
168 Calculate the arc hyperbolic cosecant of the value
169 float value
171 Value of the argument
172 ::math::trig::asech value
174 Calculate the arc hyperbolic secant of the value
175 float value
177 Value of the argument
178 ::math::trig::acotanh value
180 Calculate the arc hyperbolic cotangent of the value
181 float value
183 Value of the argument
184 The following versions of the common trigonometric functions and their
186 inverses are defined:
187 ::math::trig::sind angle
189 Calculate the sine of the angle (in degrees)
190 float angle
192 Angle (in degrees)
193 ::math::trig::cosd angle
195 Calculate the cosine of the angle (in degrees)
196 float angle
198 Angle (in radians)
199 ::math::trig::tand angle
201 Calculate the cotangent of the angle (in degrees)
202 float angle
204 Angle (in degrees)
205 ::math::trig::cosecd angle
207 Calculate the cosecant of the angle (in degrees)
208 float angle
210 Angle (in degrees)
211 ::math::trig::secd angle
213 Calculate the secant of the angle (in degrees)
214 float angle
216 Angle (in degrees)
217 ::math::trig::cotand angle
219 Calculate the cotangent of the angle (in degrees)
220 float angle
222 Angle (in degrees)
223
225 This document, and the package it describes, will undoubtedly contain
226 bugs and other problems. Please report such in the category math ::
227 trig of the Tcllib Trackers [http://core.tcl.tk/tcllib/reportlist].
228 Please also report any ideas for enhancements you may have for either
229 package and/or documentation.
230 When proposing code changes, please provide unified diffs, i.e the out‐
232 put of diff -u.
233 Note further that attachments are strongly preferred over inlined
235 patches. Attachments can be made by going to the Edit form of the
236 ticket immediately after its creation, and then using the left-most
237 button in the secondary navigation bar.
238
240 math, trigonometry
241
243 Mathematics
244
246 Copyright (c) 2018 Arjen Markus
247tcllib 1.0.0 math::trig(n)