math::trig - Trigonometric anf hyperbolic functions

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       Mathematics

       Copyright (c) 2018 Arjen Markus

tcllib                                                 1.1                                      math::trig(3tcl)

       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.

       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_reducedangle
              Return the equivalent angle in the interval [0, 2pi).

              float angle
                     Angle (in radians)

       ::math::trig::degree_reducedangle
              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::cosecangle
              Calculate the cosecant of the angle (1/cos(angle))

              float angle
                     Angle (in radians)

       ::math::trig::secangle
              Calculate the secant of the angle (1/sin(angle))

              float angle
                     Angle (in radians)

       ::math::trig::cotanangle
              Calculate the cotangent of the angle (1/tan(angle))

              float angle
                     Angle (in radians)

       For these functions also the inverses are defined:

       ::math::trig::acosecvalue
              Calculate the arc cosecant of the value

              float value
                     Value of the argument

       ::math::trig::asecvalue
              Calculate the arc secant of the value

              float value
                     Value of the argument

       ::math::trig::acotanvalue
              Calculate the arc cotangent of the value

              float value
                     Value of the argument

       The following hyperbolic and inverse hyperbolic functions are defined:

       ::math::trig::cosechvalue
              Calculate the hyperbolic cosecant of the value (1/sinh(value))

              float value
                     Value of the argument

       ::math::trig::sechvalue
              Calculate the hyperbolic secant of the value (1/cosh(value))

              float value
                     Value of the argument

       ::math::trig::cotanhvalue
              Calculate the hyperbolic cotangent of the value (1/tanh(value))

              float value
                     Value of the argument

       ::math::trig::asinhvalue
              Calculate the arc hyperbolic sine of the value

              float value
                     Value of the argument

       ::math::trig::acoshvalue
              Calculate the arc hyperbolic cosine of the value

              float value
                     Value of the argument

       ::math::trig::atanhvalue
              Calculate the arc hyperbolic tangent of the value

              float value
                     Value of the argument

       ::math::trig::acosechvalue
              Calculate the arc hyperbolic cosecant of the value

              float value
                     Value of the argument

       ::math::trig::asechvalue
              Calculate the arc hyperbolic secant of the value

              float value
                     Value of the argument

       ::math::trig::acotanhvalue
              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::sindangle
              Calculate the sine of the angle (in degrees)

              float angle
                     Angle (in degrees)

       ::math::trig::cosdangle
              Calculate the cosine of the angle (in degrees)

              float angle
                     Angle (in radians)

       ::math::trig::tandangle
              Calculate the cotangent of the angle (in degrees)

              float angle
                     Angle (in degrees)

       ::math::trig::cosecdangle
              Calculate the cosecant of the angle (in degrees)

              float angle
                     Angle (in degrees)

       ::math::trig::secdangle
              Calculate the secant of the angle (in degrees)

              float angle
                     Angle (in degrees)

       ::math::trig::cotandangle
              Calculate the cotangent of the angle (in degrees)

              float angle
                     Angle (in degrees)

       math, trigonometry

       math::trig - Trigonometric anf hyperbolic functions

       package require Tcl8.59

       package require math::trig1.1::math::trig::radian_reducedangle::math::trig::degree_reducedangle::math::trig::cosecangle::math::trig::secangle::math::trig::cotanangle::math::trig::acosecvalue::math::trig::asecvalue::math::trig::acotanvalue::math::trig::cosechvalue::math::trig::sechvalue::math::trig::cotanhvalue::math::trig::asinhvalue::math::trig::acoshvalue::math::trig::atanhvalue::math::trig::acosechvalue::math::trig::asechvalue::math::trig::acotanhvalue::math::trig::sindangle::math::trig::cosdangle::math::trig::tandangle::math::trig::cosecdangle::math::trig::secdangle::math::trig::cotandangle

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