In revising the second edition, the strengths of the prior editions were retained while reflecting the changes in the study of trigonometry during the last ten years. This edition deletes the use of logarithms entirely, increases the use of calculators, and changes from the column form of working identity problems to the horizontal continuous equation form. Tables are still provided for finding trigonometric function values in 10-minute intervals, tenth of a degree intervals, and hundredth of a radian intervals. The review of geometry is still provided in an appendix.
The book is complete in itself and can be used equally well by those who are studying trigonometry for the first time and those who are reviewing the fundamental principles and procedures of trigonometry.
Each chapter contains a summary of the necessary definitions and theorems followed by a solved set of problems. These solved problems include the proofs of the theorems and the derivation of formulas. The chapters end with a set of supplementary problems with their answers.
Triangle solution problems, trigonometric identities, and trigonometric equations require a knowledge of elementary algebra. The problems have been carefully selected and their solutions have been spelled out in detail and arranged to illustrate clearly the algebraic processes involved as well as the use of the basic trigonometric relations.
Contents
Chapter 1. Angles and applications.
Chapter 2. Trigonometric functions of a general angle.
Chapter 3. Trigonometric functions of an acute angle.
Chapter 4. Solutions of right triangles.
Chapter 5. Practical applications.
Chapter 6. Reduction to functions of positive acute angles.
Chapter 7. Variation and graphs of the trigonometric functions.
Chapter 8. Basic relationships and identities.
Chapter 9. Trigonometric functions of two angles.
Chapter 10. Sum, difference, and product Formulas.
Chapter 11. Oblique triangles.
Chapter 12. Area of triangle.
Chapter 13. Inverses of trigonometric functions.
Chapter 14. Trigonometric equations.
Chapter 15. Complex numbers.
Appendix 1. Geometry.
Appendix 2. Tables.
Título: Trigonometry.
Autor: Robert E. Moyer & Frank Ayres Jr.
Edición: Tercera edición.
Idioma: Inglés.
Formato: PDF.
Archivo: 9,26 mb.
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