Generalized Trigonometry
By Katherine Rose, Alexander Joseph and Joshua Piety

Generalized Trigonometry

Generalized Trigonometry is a python extension that provides trigonometric functions for systems other than a circle. For example, the following function draws a square:

Functions

import gentrig as gt

Parabolic

gt.sinp(x)
gt.cosp(x)
gt.tanp(x)
gt.cscp(x)
gt.secp(x)
gt.cotp(x)

Self-explanatory: Parabolic trig is similar to hyperbolic trig, but applied to a parabola instead of a hyperbola.

Linear

gt.sinl(x)
gt.cosl(x)
gt.tanl(x)
gt.cscl(x)
gt.secl(x)
gt.cotl(x)

Trigonometry applied to a line. This is actually equivalent to polygonal trig with 2 sides. For example:

However, due to implementation details the sinl(x) function in this library is much faster than sinpoly(x,2).

Polygonal

# Where n is the number of sides
gt.sinpoly(x,n)
gt.cospoly(x,n)
gt.tanpoly(x,n)
gt.cscpoly(x,n)
gt.secpoly(x,n)
gt.cotpoly(x,n)

Polygonal trig is fun! You can draw regular polygons of "radius" 1 (unit polygons, perhaps) with arbitrary numbers of sides using just sinpoly and cospoly! The library won't stop you from using sinpoly(x,n) with when n is less than one or not an integer, but behavior in those cases is undefined. It's also worth noting that as n approaches infinity sinpoly(x,n) approaches sin(x), which is pretty intuitive if you think of a circle as an infinite-sided polygon. You can plot this to get a unit polygon with n sides:

Installing gentrig...

From PyPI

gentrig has been released on PyPI! You can install it with pip install gentrig and use it like any other python library!

From source

1. Clone this repo: git clone https://github.com/KiARC/gentrig.git
2. Move into the repository's directory: cd gentrig
3. Build and install with pip: pip install .

gentrig can now be imported within whichever environment's pip was used to install it.