Elements of Plane Trigonometry (Classic Reprint) - Couverture souple

Hill, Hamnett P.

 
9781440066672: Elements of Plane Trigonometry (Classic Reprint)

Synopsis

Master the fundamentals of plane trigonometry with clear explanations and practical problems.

< p >Elements of Plane Trigonometry, by Daniel Alexander Murray, introduces the key ideas of trigonometric functions for acute angles and extends them to general angles. The book methodically builds from definitions to practical rules, covering right-angled triangles, angle measures, and the relationships among sines, cosines, tangents, and related functions. It also explains how to reduce any angle to familiar acute forms and how to work with radians, signs, and periodicity in a structured, example-driven way. In addition to theory, the text provides numerous worked examples and problems to reinforce learning.



The content is organized into chapters that explain functions, inverse values and equations, sums and differences of angles, and the laws that connect a triangle’s sides and angles. It includes methods for solving oblique triangles, use of logarithms, and sections on areas, sectors, and circular relationships. The book presents general values and the concept of general expressions for all angles sharing a given function, helping learners recognize patterns across many cases. It also features answers to exercises to support self-study.




  • definitions and properties of the six trigonometric functions

  • step-by-step approaches to solving right- and oblique-triangle problems

  • rules for reducing angles to acute forms and handling special angle cases

  • practical examples, exercises, and worked solutions for reinforcement



Ideal for students beginning their study of trigonometry and for anyone needing a solid, accessible reference on plane trigonometry concepts.

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