These free trigonometry books in PDF go from your first right triangle to the unit circle. Each textbook and guide is ready to read online or download.
Start with a complete course like College Trigonometry by Carl Stitz and Jeff Zeager, used in real college classes. It covers everything from angles to vectors, with answers to the exercises.
Whether you are in high school or learning on your own, there is a book here for your level. Pick one and start solving triangles today.
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Textbooks
Trigonometry Textbooks
These trigonometry textbooks are complete courses with worked examples and exercises, from high school to college level. If you want one book that covers the whole subject, start here.
A complete college course that builds trigonometry from angles and the unit circle to identities, inverse functions, polar coordinates and vectors. Clear worked examples and hundreds of exercises with answers make it ideal for self-study.
A modern open textbook from Grand Valley State University that teaches trigonometry through active learning, with preview activities, clear explanations and exercises in every section. Covers the unit circle, graphs, identities, triangles and vectors.
A full college trigonometry textbook built by four Utah universities and adapted from Stitz and Zeager. It covers angles, the unit circle, graphs, identities, equations and the laws of sines and cosines, with plenty of practice problems.
A concise and rigorous open textbook that covers right triangles, general triangles, identities, graphs, inverse functions and complex numbers. Every chapter ends with exercises, and answers to selected problems are included.
A complete course built around applications and guided investigations, from triangle trigonometry to the unit circle, radians, identities, vectors and polar coordinates. Includes hundreds of exercises and clear graphs.
A high school trigonometry textbook with step-by-step lessons on right triangles, circular functions, identities, inverse functions, triangle solving and polar equations. Every lesson includes worked examples and review questions.
Art Fortgang, Andrea Hayes, Lori Jordan, Mara Landers
The OpenStax textbook that combines college algebra and trigonometry in one volume, with chapters on the unit circle, periodic functions, identities and the laws of sines and cosines. Includes worked examples, practice exercises and answer keys.
The classic Cambridge textbook that generations of students have used to master plane trigonometry, from angle measurement and ratios to logarithms, triangle solving, and heights and distances. Famous for its large collection of graded examples.
These basic trigonometry books explain angles, right triangles and the law of sines and cosines in plain steps. They are ideal for a first course or a quick review before an exam.
A clear review of the essential topics: angle measurement, the unit circle, trigonometric functions, graphs, identities and triangle solving. Each topic comes with practice problems and full solutions, perfect before an exam.
A short, friendly introduction that starts with right triangles and solving triangles, then moves on to graphs, identities, equations and the laws of sines and cosines. Ideal for a first course or a quick refresher.
A classic school textbook that introduces trigonometry step by step, from measuring angles to ratios, identities, logarithms and solving triangles. Its many worked examples and exercises make it a great first book.
A practical guide to right triangle trigonometry, covering Pythagoras' theorem, sine, cosine and tangent, angles of elevation and depression, and bearings. Real-world problems with answers help you build confidence fast.
Compact course notes that cover radian measure, the six trigonometric ratios, exact values, key identities, inverse functions and trigonometric equations. They end with tutorial exercises for engineering and science students.
A brief introduction to the basics: degrees and radians, the unit circle, the six trigonometric functions and the double-angle formula. A quick read to review the essentials before a calculus course.
These trigonometric functions books explain the unit circle, trig identities and inverse functions step by step. Keep one open while you solve equations or review formulas.
A handbook of formulas, processes and tricks that summarizes all of trigonometry: special angles, the unit circle, graphs, identities, inverse functions, equations, vectors and polar coordinates. Packed with tables and diagrams, it works as a complete reference.
A self-paced booklet from the University of Sydney that explains angles, radians and the trigonometric functions as functions of real numbers, with their graphs and properties. Includes exercises and full solutions.
A step-by-step guide to the unit circle: angles in standard position, reference angles, and the values of sine, cosine and tangent in every quadrant. Plenty of diagrams make the key ideas easy to see.
A self-study booklet from the University of Sydney on Pythagorean identities, sum and difference formulas and double angle formulas, with a pretest, exercises and full solutions.
A short guide to inverse sine, cosine and tangent that explains why the domain must be restricted and how to solve inverse trig problems with and without a calculator.
A focused unit on solving trigonometric equations with special angles, graph symmetries and identities, including examples in degrees and radians and practice exercises.
A handy formula sheet with the unit circle and right triangle definitions, domains, ranges and periods, key identities, inverse functions and the laws of sines, cosines and tangents. Perfect to keep open while you solve problems.
Spherical trigonometry studies triangles drawn on a sphere, the math behind navigation and astronomy. These classics by Isaac Todhunter and William Chauvenet are still read by students today.
The classic treatise on spherical trigonometry, covering spherical triangles, Napier's rules of circular parts, the solution of oblique triangles and applications to astronomy and geodesy. A clean digital edition with numerous examples.
A classic college textbook that covers plane trigonometry and then spherical triangles, with applications to geodesy, astronomy and navigation. Includes four-place logarithm tables and many worked problems.
A rigorous classic that treats plane and spherical trigonometry in depth, with careful proofs, spherical triangle solving and applications to astronomy and navigation.
Short, clear notes that derive the fundamental formulas of spherical triangles from plane trigonometry, including the spherical laws of sines and cosines. A quick modern entry point before the classics.
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