Solving Real-World Problems Using Trigonometry and Calculus
Senior Grade Lecturer in Science, Government Polytechnic, Harapanahalli-583131, Karnataka India.
Research Article
World Journal of Advanced Research and Reviews, 2021, 12(03), 792-800
Publication history:
Received on 09 December 2021; revised on 17 December 2021; accepted on 24 December 2021
Abstract:
The integration of trigonometry and calculus provides powerful mathematical frameworks for addressing complex real-world challenges across engineering, physics, economics, and environmental sciences. This paper examines the fundamental applications of these mathematical disciplines in solving practical problems, from structural engineering and signal processing to optimization and predictive modeling. Through analysis of established methodologies and case studies, we demonstrate how trigonometric functions combined with differential and integral calculus enable precise modeling of periodic phenomena, optimization of systems, and prediction of dynamic behaviors. The paper synthesizes research findings from multiple domains to illustrate the indispensable role these mathematical tools play in modern problem-solving, emphasizing their practical utility in navigation systems, architectural design, resource management, and technological innovation.
Keywords:
Trigonometry; Calculus; Applied Mathematics; Optimization; Signal Processing; Fourier Analysis Trigonometric functions
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