New Formulas for the Trigonometry of Isosceles Triangles
Year: 2022
Type: preprint
Abstract: This paper discusses a new formula to solve for the angle of isosceles triangles given proportion of differentiated unequivalent edge length versus the always-equivalent edges. The equation is equal to the arcsine of (X/2) multiplied by two. This formula is to be called ‘isn^-1(x)’, short for inverse isosceles sine equivalent. Also discussed is the non-inverse ‘isn(x)’ which is the cyclic function which is determined to correspond as the equivalent of the classic sine formula to isosceles triangles. The formula set is clearly superior and powerful at calculating the angle and measure of any given obtuse or acute triangle of an unclassified type, as well as unifying a simplest-fit formula across all types of triangle. Also discussed are two transform approximation formulas.
Source: Research Square
Author: Noah King
Institution: SUNY Canton
Language: English
Topic: Mathematics and Applications
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4229016143