Year: 2025
Type: preprint
Abstract: We introduce the Primary Gasing Triangle, a right triangle with a hypotenuse of 1 unit, to define the primary trigonometric functions: sine and cosine. This triangle serves as the foundational element in a new approach to learning trigonometry, enabling us to derive the Derived Gasing Triangle, where the other four trigonometric functions (tangent, secant, cotangent, and cosecant) are defined. Using the Primary Gasing Triangle, we derive key trigonometric formulas, provide several proofs of the Pythagorean theorem using trigonometry, and solve various trigonometry problems. This approach makes learning trigonometry simpler, easier, and more intuitive.
Source: arXiv (Cornell University)
Authors: Surya, Marcia Ann, Surya, Yohanes
Language: English
Topic: Mathematics and Applications
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W6929431941
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