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Trigonometry for Beginners by John 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 More 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 Lock is an introductory mathematical text designed to build a strong grounding in plane trigonometry for high school and early college students. Serving as an essential entry-level reference, this volume provides a clear framework for trigonometry for beginners practical problem solving practice.

The book systematically covers angular measurement, trigonometric ratios, right-angled triangles, identities, logarithms, and practical application problems related to heights and distances. By pairing simple theoretical explanations with illustrative worked examples, Lock enables students to perform essential trigonometry angle calculation derivations with absolute confidence and logical ease.

Appreciated for its clean, accessible layout and progressive difficulty, this guide remains a valuable asset for self-study and introductory geometry courses. Lock’s structured pedagogical style arms learners with fundamental tools needed for mastering elementary trigonometry principles across basic mathematics.

Book Details & Specifications

Title: Trigonometry for Beginners by John 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. He was an esteemed teacher and author known for developing accessible, clear instructional textbooks in elementary mathematics and geometry during the late 19th century.

Throughout his career, Lock focused on structuring intuitive explanations for beginner-level students, creating enduring introductory trigonometry study guides that break down complex spatial concepts into manageable steps.


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Elements of Plane Trigonometry - Hugh Blackburn (PDF)
Learn angles, triangles, and identities with Hugh Blackburn’s Elements of Plane Trigonometry. A solid start for beginners in mathematics.
Trigonometry for Beginners - John Lock | Free PDF Download
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Elementary Trigonometry by W. E. Paterson (PDF)
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