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Trigonometry for Beginners by John B. Lock




Trigonometry for Beginners - Table of Contents

1. Definitions. The Figures of Trigonometry
2. Measurement of Angles
3. The Trigonometrical Ratios
4. The Acute Angle
5. The Trigonometrical Ratios of Certain Angles
6. Practical Applications
7. Use of Signs + and — , Definitions. The Trigonometric Ratios
8. On the Relations Between the Trigonometrical Ratios
9. The Solution of Trigonometrical Equations
10. On the Trigonometrical Ratios of Two or Mori Angles
11. Multiple Angles, Sub-multiple Angles
12. Inverse Trigonometric Functions
13. Relations between the Sides and Angles of a Triangle
14. Logarithms
15. Solution of Triangles. Area of a Triangle
16. Measurement of Heights and Distances
17. Miscellaneous Theorems
18. Relations Among the Sides and Angles of a Spherical Triangle
19. Solution of Spherical Triangles .
20. The Solution of Trigonometrical Equations
21. On the Trigonometrical Ratios of Two or More Angles
22. Multiple Angles & Submultiple Angles

What You Will Learn in Trigonometry for Beginners

"Trigonometry for Beginners" by John B. Lock is a classic mathematics textbook designed for students new to "trigonometric ratios", providing a clear and structured introduction to the subject. First published in 1896, the book focuses on teaching fundamental concepts in a simple and accessible manner. It emphasizes understanding the relationships between angles and sides in triangles, making it easier for learners to solve trigonometric problems. Lock’s approachable style ensures that beginners can grasp even complex ideas without feeling overwhelmed. The book covers essential topics such as the "solution of triangles", both right-angled and oblique, and includes detailed explanations of logarithms and their use in trigonometric calculations. Additionally, Lock explores spherical trigonometry, introducing students to practical applications in navigation, astronomy, and surveying. Each chapter builds progressively, ensuring readers develop a strong foundation in trigonometric principles and problem-solving techniques. Despite being over a century old, Lock’s textbook remains relevant for learners seeking a traditional, methodical approach to trigonometry. Its focus on clarity, structured progression, and "practical applications" allows students to apply theoretical knowledge to real-world problems. Modern editions and reprints keep this classic accessible, making it a valuable resource for self-study, classroom learning, or anyone looking to strengthen their foundational skills in trigonometry.

Book Details & Specifications

Title: Trigonometry for Beginners by John B. Lock
Publisher: The MacMillan Company
Year: 1896
Pages: 236
Type: PDF
Language: English
ISBN-10 #: 0365398535
ISBN-13 #: 978-0365398530
License: Public Domain Work
Amazon: Amazon

About the Author: John Bascombe Lock

The author John Bascombe Lock (1849–1921) was an English mathematician, academic, and priest known for his contributions to "trigonometry education". He studied at Gonville and Caius College, Cambridge, and later served as a fellow and bursar at the college. Lock also taught at Eton College and was active in community projects. He authored several influential "mathematics textbooks", including "Trigonometry for Beginners", which simplifies "trigonometric concepts" for students. His books focus on clarity, structured learning, and practical applications, helping learners understand trigonometric ratios, the solution of triangles, and real-world problem solving, making them valuable even today.

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Tensor Trigonometry - A.S. Ninul (PDF)
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