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Essential Trigonometry: A Self-Teaching Guide by Tim Hill

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This no-nonsense guide provides students and self-learners with a clear and readable study of trigonometry's most important ideas. Tim Hill's distraction-free approach combines decades of tutoring experience with the methods of his old-school Russian math teachers. The learn in a few days what conventional schools stretch into months. Teaches general principles that can be applied to a wide variety of problems. Avoids the mindless and excessive routine computations that characterize conventional textbooks. Treats trigonometry as a logically coherent discipline, not as a disjointed collection of techniques. Restores proofs to their proper place to remove doubt, convey insight, and encourage precise logical thinking. Omits digressions, excessive formalities, and repetitive exercises. Covers all the trigonometry needed to take a calculus course. Includes detailed solutions to all problems.

Contents 1. To the Student 2. A Few Prereqs 3. Radian Measure 4. The Trig Functions 5. Trig Values for Special Angles 6. Graphs of Trig Functions 7. The Major Formulas 8. Inverse Trig Functions 9. The Law of Cosines (and Sines) 10. Problems & Solutions 11. Trig Cheat Sheet

About the AuthorTim Hill is a private math tutor based in Las Vegas, Nevada. When he's not crunching numbers, Tim plays poker, hikes canyons, and avoids malls.

Paperback

First published April 9, 2013

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Displaying 1 - 2 of 2 reviews
1 review
November 10, 2017
A great book for teaching yourself every concepts clearly.

I wasn't sure about it before buying because it was costly and exceeding my budget. But after buying I can tell you it's totally worth it. The book is very easy to understand and now I can bridge the gap which was made because I didn't study in earlier standards. My conceptions are totally clear now.
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2,427 reviews99 followers
January 3, 2026
This is a short, concise guide that establishes rules and provides proofs in Trigonometry. Tim Hill is no-nonsense, getting straight to the point with all of the ideas it covers. I found it useful as a refresher, but it also works if you are new to it.
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