# trig - Man Page

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`

## 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).

float angle

::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

::math::trig::sec angle

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

float angle

::math::trig::cotan angle

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

float angle

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

::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 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

Mathematics

## Info

1.0.0 tcllib Tcl Math Library