Abdul's Compound Trig Fraction: A Classroom Formulation for Evaluating Nested Sine-Cosine Fractions from the Bottom Up
Year: 2026
Type: preprint
Abstract: Continued fractions are well known in mathematics, with classical expansions for $\tan z$ dating back to Euler and Gauss. However, students at secondary school level rarely meet them in a simple, finite form using standard angles. This paper presents a novel classroom formulation: *Abdul's Compound Trig Fraction*. It is a finite nested fraction built from $\sin$ and $\cos$ of standard angles $30^{\circ}, 45^{\circ}, 60^{\circ}$, evaluated by a systematic bottom-up method.
Author: Adogun, Sulaimon Abdulfatai
Language: English
Topic: Mathematics and Applications
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
SDG: Quality education
Open Access status: green
OpenAlex ID: W7225592595