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math::trig(3tcl) Tcl Math Library math::trig(3tcl) 





NAME


math::trig - Trigonometric anf hyperbolic functions






SYNOPSIS


package require Tcl 8.5 9


package require math::trig 1.1


::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










DESCRIPTION


The math::trig package defines a set of trigonomic and
    hyperbolic functions and their inverses. In addition it defines versions of
    the trigonomic 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).







  

  
Angle (in radians)







  
::math::trig::degree_reduced angle

  
Return the equivalent angle in the interval [0, 360).







  

  
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))







  

  
Angle (in radians)







  
::math::trig::sec angle

  
Calculate the secant of the angle (1/sin(angle))







  

  
Angle (in radians)







  
::math::trig::cotan angle

  
Calculate the cotangent of the angle (1/tan(angle))







  

  
Angle (in radians)






For these functions also the inverses are defined:



  
::math::trig::acosec value

  
Calculate the arc cosecant of the value







  

  
Value of the argument







  
::math::trig::asec value

  
Calculate the arc secant of the value







  

  
Value of the argument







  
::math::trig::acotan value

  
Calculate the arc cotangent of the 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))







  

  
Value of the argument







  
::math::trig::sech value

  
Calculate the hyperbolic secant of the value (1/cosh(value))







  

  
Value of the argument







  
::math::trig::cotanh value

  
Calculate the hyperbolic cotangent of the value (1/tanh(value))







  

  
Value of the argument







  
::math::trig::asinh value

  
Calculate the arc hyperbolic sine of the value







  

  
Value of the argument







  
::math::trig::acosh value

  
Calculate the arc hyperbolic cosine of the value







  

  
Value of the argument







  
::math::trig::atanh value

  
Calculate the arc hyperbolic tangent of the value







  

  
Value of the argument







  
::math::trig::acosech value

  
Calculate the arc hyperbolic cosecant of the value







  

  
Value of the argument







  
::math::trig::asech value

  
Calculate the arc hyperbolic secant of the value







  

  
Value of the argument







  
::math::trig::acotanh value

  
Calculate the arc hyperbolic cotangent of the 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)







  

  
Angle (in degrees)







  
::math::trig::cosd angle

  
Calculate the cosine of the angle (in degrees)







  

  
Angle (in radians)







  
::math::trig::tand angle

  
Calculate the cotangent of the angle (in degrees)







  

  
Angle (in degrees)







  
::math::trig::cosecd angle

  
Calculate the cosecant of the angle (in degrees)







  

  
Angle (in degrees)







  
::math::trig::secd angle

  
Calculate the secant of the angle (in degrees)







  

  
Angle (in degrees)







  
::math::trig::cotand angle

  
Calculate the cotangent of the angle (in degrees)







  

  
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 output 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








  

    1.1
    tcllib