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Analytic trigonometry /
Analytic Trigonometry details the fundamental concepts and underlying principle of analytic geometry. The title aims to address the shortcomings in the instruction of trigonometry by considering basic theories of learning and pedagogy.
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Oxford : New York :
Pergamon Press ; Macmillan,
�1963.
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| Colección: | Commonwealth and international library of science, technology, engineering, and liberal studies. Mathematics division ;
v. 11. |
| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Front Cover; Analytic Trigonometry; Copyright Page; PREFACE; THE GREEK ALPHABET; Table of Contents; CHAPTER 1. FOUNDATIONS; 1.1. Essential Elements from Algebra; 1.2. Essential Elements from Plane Geometry; 1.3. Essential Elements from Analytic Geometry; CHAPTER 2. TRIGONOMETRIC FUNCTIONS OF ANGLES; 2.1. Angles; 2.2. Definitions of the Trigonometric Functions; 2.3. Graphs of the Trigonometric Functions; 2.4. Interdependence of the Functions; 2.5. Algebraic Equivalents of the Functions; 2.6. Elementary Identities; 2.7. Functions of Special Angles
- 2.8. Functions Determined from a Known Function2.9. Tables of Trigonometric Functions; 2.10. Interpolation; 2.11. Solutions of Elementary Trigonometric Equations; CHAPTER 3. FUNCTIONS OF SUMS AND RELATED FUNCTIONS; 3.1. Functions of Sums; 3.2. Functions of Multiple Angles; 3.3. Conversion Formulas for Sums and Products; 3.4. Graphical Reduction; CHAPTER 4. TRIGONOMETRIC FUNCTIONS OF A NUMBER; 4.1. Definitions of the Trigonometric Functions of a Number; 4.2. Tables of Trigonometric Functions of Numbers; 4.3. Solutions of Equations-Approximation Methods
- 7.1. The Logarithm Function7.2. Laws of Logarithms; 7.3. Common or Briggsian Logarithms; 7.4. Reading Tables of Mantissas; 7.5. Interpolation; 7.6. Logarithms of Trigonometric Functions; CHAPTER 8. SOLUTIONS OF TRIANGLES; 8.1. The Right Triangle; 8.2. Vectors; 8.3. The Law of Sines; 8.4. The Law of Cosines; 8.5. Other Useful Formulas; CHAPTER 9. POLAR COORDINATES; 9.1. The Polar Coordinate System; 9.2. Functions in Polar Coordinates; 9.3. Elementary Polar Curves; 9.4. Aids in Sketching Polar Curves; 9.5. Intersections of Polar Curves; CHAPTER 10. COMPLEX NUMBERS; 10.1. Rectangular Form
- 10.2. Polar Form10.3. The Fundamental Operations; 10.4. De Moivre's Theorem; 10.5. Series Representation; 10.6. Euler's Formula; SUPPLEMENT; Analysis of the Definitions of the Trigonometric Functions; ANSWERS; TABLES; I. Squares and Square Roots of Numbers; II. Common Logarithms of Numbers; III. Trigonometric Functions of Angles; IV. Logarithms of the Trigonometric Functions of Angles; V. Trigonometric Functions of Numbers; INDEX