Trigonometry: From Theory to Application introduces the basics of trigonometry and key areas of practice, fully considering in straightforward, pragmatic terms the characterization of triangles, coordinate transport, and coordinate systems, with emphasis on interpreting key concepts and applying them. The book begins with a review of basic trigonometric functions and their properties, and then moves on to trigonometric identities, equations, and practical applications. Special sections dedicated to real-world and technological problems demonstrate how trigonometry is applied in everyday situations, inspiring and motivating students to see the relevance of trigonometry beyond the classroom, across fields ranging from engineering to physics and beyond.
Each chapter is interconnected, ensuring that students build a solid and cumulative understanding of concepts, with detailed examples, varied exercises, and full-color illustrations.
- Provides an engaging introduction to the fundamentals of trigonometry and key applications
- Walks logically through topics, from basic conventions to trigonometric relations, angles and reference values, identities and functions, equations, measurement systems, laws, theorems, and coordinate systems
- Considers a range of interdisciplinary applications, from engineering to physics and beyond
- Includes detailed examples, exercises, application case studies, and full-color illustrations
Joćo Ricardo Branco is a professor at Coimbra Polytechnic - Coimbra Institute of Engineering (ISEC), in Portugal. PhD in Applied Mathematics, graduate in Civil Engineering Sciences, and undergraduate in Financial Analysis. He has several scientific and pedagogic publications and his research interests are finance, mathematical education for engineers, and mathematical models for glioma proliferation and diffusion. He is a member of the Mathematics Centre of the University of Coimbra (CMUC), the Research Group on the Didactics of Mathematics in Engineering (GIDiMatE) and the Center for the Support of Mathematics in Engineering (CeAMatE).
Carla Fidalgo, PhD in Mathematics from the University of Coimbra, is a professor at the Coimbra Polytechnic - Coimbra Institute of Engineering (ISEC), in Portugal. She was President of the Assembly of Representatives of ISEC for 13 years, a member of the General Council of IPC, and a member of the Advisory Board of ISEC. She has been a researcher at the Mathematics Centre of the University of Coimbra (CMUC), co-founder of the Research Group on the Didactics of Mathematics in Engineering (GIDiMatE), co-founder of the Center for the Support of Mathematics in Engineering (CeAMatE), and collaborator of the Center for Innovation and Study of Pedagogy in Higher Education (CINEP). She has been a member of scientific committees of national and international congresses and is the author of several publications both in Pure Mathematics and in Mathematics Didactics.
