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Rashevsky's Trigonometry: A Complete Course in Plane Trigonometry

by K. N. Rashevsky

Translated by Valery Manokhin, PhD

A faithful English edition of the classical Russian trigonometry textbook. A complete course in plane trigonometry — the trigonometric functions, radian measure and the unit circle, identities, equations, and the solution of triangles — built the way the Russian school tradition built it: define, prove, apply.

· 81 pages

Where this fits in school — US, UK and Canada ↓ Adults and self-learners welcome — great mathematics has no age limit.

United States10–12Trigonometry / Precalculus — the triangle-solving half
United KingdomYears 10–13GCSE Higher (sine and cosine rules) → A-level Pure
CanadaOntario 10–12MPM2D → MCR3U · BC Pre-Calc 11–12 · QC Secondary IV–V SN

Not covered in this book

graphs of the trigonometric functions and radian measure · statistics and data handling · probability

Source these strands elsewhere. They are missing from the book, not from this description.

How this book fits

See the whole sequence →

Work through first

Covers much of the same ground

  • Derzhavin is the full course — 192 pages, 86 numbered sections — and adds logarithmic tables, measurement in the field, the computation of π and a chapter of trigonometric equations.

  • Anoshchenko is the full course — 188 pages in three parts and 25 chapters — and adds field triangulation, trigonometric equations, inverse trigonometric quantities and maxima and minima.

These overlap heavily. Each note says what that book has which this one does not — the differences are what decide between them.

Problems to work alongside it

What comes next

Table of contents

13 section headings — the printed contents page in full.

Translator's Preface

Table of contents3 sections
  1. The author
  2. The book
  3. Editorial principles

Goniometry

Change of the Trigonometric Functions as the Angle Varies from 0 to 3601 section
  1. § 22. Reduction formulas.
Addition Theorems and Solution of Triangles9 sections
  1. REDUCTION OF TRIGONOMETRIC EXPRESSIONS TO LOGARITHMIC FORM.
  2. § 33. Second addition theorem.
  3. § 34. General case of the introduction of an auxiliary angle.
  4. LOGARITHMS OF THE TRIGONOMETRIC FUNCTIONS.
  5. § 38. The tabular mantissas of the logarithms of the trigonometric functions are given with an accuracy of half a unit of the last digit.
  6. SOLUTION OF RIGHT TRIANGLES.
  7. OBLIQUE TRIANGLES.
  8. § 44. Law of cosines.
  9. SOLUTION OF OBLIQUE TRIANGLES.

Historical Information

Formulas

Answers

Search the contents of every book →

Formats and editions

FormatPriceISBN-13WhereBuy
PDF$39.95—Gumroad · Instant downloadBuy →
Paperback$39.95978-1-919012-54-4AmazonBuy →
Hardcover$59.95978-1-919012-55-1AmazonBuy →

Prices are the publisher list prices. Amazon sets the final price in each store.

Product details

Publisher
Northern Star Academic Press
Language
English
Translator
Valery Manokhin, PhD
Print length
81 pages
First published
2026-08-23

Published by Northern Star Academic Press · First faithful English translation from the original Russian edition

Browse the full Russian Math Classics series on Amazon →

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