math::trig(3tcl) Tcl Math Library math::trig(3tcl)
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NAME
math::trig - Trigonometric anf hyperbolic functions
SYNOPSIS
package require Tcl 8.5
package require math::trig 1.0.0
::math::trig::radian_reduced angle
::math::trig::degree_reduced angle
::math::trig::cosec angle
::math::trig::sec angle
::math::trig::cotan angle
::math::trig::acosec value
::math::trig::asec value
::math::trig::acotan value
::math::trig::cosech value
::math::trig::sech value
::math::trig::cotanh value
::math::trig::asinh value
::math::trig::acosh value
::math::trig::atanh value
::math::trig::acosech value
::math::trig::asech value
::math::trig::acotanh value
::math::trig::sind angle
::math::trig::cosd angle
::math::trig::tand angle
::math::trig::cosecd angle
::math::trig::secd angle
::math::trig::cotand angle
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DESCRIPTION
The math::trig package defines a set of trigonomic and hyperbolic func-
tions and their inverses. In addition it defines versions of the trigo-
nomic functions that take arguments in degrees instead of radians.
For easy use these functions may be imported into the tcl::mathfunc
namespace, so that they can be used directly in the expr command.
FUNCTIONS
The functions radian_reduced and degree_reduced return a reduced angle,
in respectively radians and degrees, in the intervals [0, 2pi) and [0,
360):
::math::trig::radian_reduced angle
Return the equivalent angle in the interval [0, 2pi).
float angle
Angle (in radians)
::math::trig::degree_reduced angle
Return the equivalent angle in the interval [0, 360).
float angle
Angle (in degrees)
The following trigonomic functions are defined in addition to the ones
defined in the expr command:
::math::trig::cosec angle
Calculate the cosecant of the angle (1/cos(angle))
float angle
Angle (in radians)
::math::trig::sec angle
Calculate the secant of the angle (1/sin(angle))
float angle
Angle (in radians)
::math::trig::cotan angle
Calculate the cotangent of the angle (1/tan(angle))
float angle
Angle (in radians)
For these functions also the inverses are defined:
::math::trig::acosec value
Calculate the arc cosecant of the value
float value
Value of the argument
::math::trig::asec value
Calculate the arc secant of the value
float value
Value of the argument
::math::trig::acotan value
Calculate the arc cotangent of the value
float value
Value of the argument
The following hyperbolic and inverse hyperbolic functions are defined:
::math::trig::cosech value
Calculate the hyperbolic cosecant of the value (1/sinh(value))
float value
Value of the argument
::math::trig::sech value
Calculate the hyperbolic secant of the value (1/cosh(value))
float value
Value of the argument
::math::trig::cotanh value
Calculate the hyperbolic cotangent of the value (1/tanh(value))
float value
Value of the argument
::math::trig::asinh value
Calculate the arc hyperbolic sine of the value
float value
Value of the argument
::math::trig::acosh value
Calculate the arc hyperbolic cosine of the value
float value
Value of the argument
::math::trig::atanh value
Calculate the arc hyperbolic tangent of the value
float value
Value of the argument
::math::trig::acosech value
Calculate the arc hyperbolic cosecant of the value
float value
Value of the argument
::math::trig::asech value
Calculate the arc hyperbolic secant of the value
float value
Value of the argument
::math::trig::acotanh value
Calculate the arc hyperbolic cotangent of the value
float value
Value of the argument
The following versions of the common trigonometric functions and their
inverses are defined:
::math::trig::sind angle
Calculate the sine of the angle (in degrees)
float angle
Angle (in degrees)
::math::trig::cosd angle
Calculate the cosine of the angle (in degrees)
float angle
Angle (in radians)
::math::trig::tand angle
Calculate the cotangent of the angle (in degrees)
float angle
Angle (in degrees)
::math::trig::cosecd angle
Calculate the cosecant of the angle (in degrees)
float angle
Angle (in degrees)
::math::trig::secd angle
Calculate the secant of the angle (in degrees)
float angle
Angle (in degrees)
::math::trig::cotand angle
Calculate the cotangent of the angle (in degrees)
float angle
Angle (in degrees)
BUGS, IDEAS, FEEDBACK
This document, and the package it describes, will undoubtedly contain
bugs and other problems. Please report such in the category math ::
trig of the Tcllib Trackers [http://core.tcl.tk/tcllib/reportlist].
Please also report any ideas for enhancements you may have for either
package and/or documentation.
When proposing code changes, please provide unified diffs, i.e the out-
put of diff -u.
Note further that attachments are strongly preferred over inlined
patches. Attachments can be made by going to the Edit form of the
ticket immediately after its creation, and then using the left-most
button in the secondary navigation bar.
KEYWORDS
math, trigonometry
CATEGORY
Mathematics
COPYRIGHT
Copyright (c) 2018 Arjen Markus
tcllib 1.0.0 math::trig(3tcl)