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Informative Article | Mathematics and Informatics | Volume 15 Issue 6, June 2026 | Pages: 1704 - 1710 | India
The Role of Trigonometry in Modern Technology: A Comprehensive Review of Mathematical Foundations, Engineering Applications, and Future Horizons
Abstract: Trigonometry, historically developed as an branch of geometry dedicated to the measurement of triangles, has evolved into a cornerstone of modern technological innovation. This review article comprehensively examines how trigonometric functions, identities, and principles provide the analytical scaffolding for a vast array of contemporary technologies. From structural mechanics and architectural optimization to computer graphics, robotic kinematics, satellite-based global positioning systems (GPS), and advanced medical imaging, trigonometric abstractions remain vital. The paper details the mathematical frameworks such as Fourier transforms, matrix coordinate rotations, and inverse kinematics equations that map simple angular ratios to complex real-world algorithms. Furthermore, we analyze the hardware-level computational advantages of trigonometric implementation, the systemic challenges involving measurement error and computational complexity, and the expanding future horizons of trigonometry in quantum computing, smart cities, and autonomous systems. This synthesis underscores trigonometry not merely as an historical mathematical tool, but as a dynamic engine driving 21st-century engineering and scientific progress.
Keywords: Trigonometry, Applied Mathematics, Fourier Analysis, CORDIC Algorithm, Inverse Kinematics, Computer Graphics, Signal Processing, Global Positioning System (GPS), Bloch Sphere, Quantum Computing, Mathematical Modeling, Spatial Computing
How to Cite?: Khyatiben B. Chaudhari, "The Role of Trigonometry in Modern Technology: A Comprehensive Review of Mathematical Foundations, Engineering Applications, and Future Horizons", Volume 15 Issue 6, June 2026, International Journal of Science and Research (IJSR), Pages: 1704-1710, https://www.ijsr.net/getabstract.php?paperid=SR26630144752, DOI: https://dx.doi.org/10.21275/SR26630144752