A Collection of Problems in Rectilinear Trigonometry
by V. I. Schiff
Translated by Valery Manokhin, PhD
A problem book in plane trigonometry by Vera Schiff, who taught mathematics at the Bestuzhev Courses in St Petersburg for thirty-five years, in first faithful English translation from the original Russian edition. 389 numbered problems, with 306 further lettered parts, in ten sections: angles in degrees and radians; the sines and cosines of the simplest angles and the simplest equations; tangent, cotangent, secant and cosecant, with the proof of identities; sums and differences, double, triple and half angles, and sums turned into products; inverse trigonometric functions; the relations between the sides of a triangle and the functions of its angles; logarithmic tables; trigonometric equations; the solution of triangles, including the solids swept out by a triangle turning about an axis; and mixed problems. Answers and worked solutions are given for 209 of the problems.
10 chapters · 389 exercises · 77 pages
Where this fits in school — US, UK and Canada ↓ Adults and self-learners welcome — great mathematics has no age limit.
Where this fits in school
Full curriculum table — every book by school year →| United States | 10–12 | Problem companion to Trigonometry / Precalculus |
|---|---|---|
| United Kingdom | Years 10–13 | GCSE Higher → A-level Pure |
| Canada | Ontario 10–12 | MPM2D → MCR3U → MHF4U |
Not covered in this book
graphs of the trigonometric functions and radian measure · statistics and data handling · probability · vectors
Source these strands elsewhere. They are missing from the book, not from this description.
How this book fits
See the whole sequence →Problems to work alongside it
- Derzhavin's Trigonometry$54.95
- Davidov's Trigonometry$49.95
- Rashevsky's Trigonometry$39.95
Table of contents
12 section headings — the printed contents page in full.
Translator's Note
Translator's Preface
Section I. Expression of an angle in degrees and expression of an angle in radians
Section II. Calculation of the sines and cosines of the simplest angles. Determination of angles when their sine or cosine is given. Construction of angles from a given sine or cosine. Solution of the simplest trigonometric equations in which the sine or cosine of the required angle occurs
Section III. Calculation of tan, cot, sec and csc of the simplest angles. Solution of the simplest trigonometric equations. Proof of certain trigonometric identities
Section IV. Examples and problems on the calculation of trigonometric functions of sums and differences of two angles, trigonometric functions of double and triple angles, trigonometric functions of half angles
Section V. Examples on the computation of inverse-trigonometric functions
Section VI. Relations between the sides and the trigonometric functions of the angles of a triangle
Section VII. Examples on the use of logarithmic tables
Section VIII. Examples on the solution of trigonometric equations
Section IX. Solution of triangles3 sections
- First case
- Second case
- General case
Section X. Mixed problems
Answers and Solutions9 sections
- Section I
- Section II
- Section III
- Section IV
- Section VI
- Section VII
- Section VIII
- Section IX
- Section X
Formats and editions
| Format | Price | ISBN-13 | Where | Buy |
|---|---|---|---|---|
| $39.95 | — | Gumroad · Instant download | Buy → |
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
- 77 pages
Published by Northern Star Academic Press · First faithful English translation from the original Russian edition
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