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

# NAME¶

math::trig - Trigonometric anf hyperbolic functions

# SYNOPSIS¶

package require Tcl 8.5

package require math::trig 1.0.0

::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):

Return the equivalent angle in the interval [0, 2pi).
::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))
::math::trig::sec angle
Calculate the secant of the angle (1/sin(angle))
::math::trig::cotan angle
Calculate the cotangent of the angle (1/tan(angle))

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)
::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 (c) 2018 Arjen Markus
```
 1.0.0 tcllib