Trigonometry

Hardcover | January 11, 2007

byJohn Coburn

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Format:HardcoverDimensions:10.3 × 8.5 × 1.12 inPublished:January 11, 2007Publisher:McGraw-Hill EducationLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0073312665

ISBN - 13:9780073312668

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Table of Contents

Chapter 1: An Introduction to Trigonometry

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1.1 Angle Measure, Special Triangles, and Special Angles

1.2 The Trigonometry of Right Triangles

1.3 Trigonometry and the Coordinate Plane

1.4 Unit Circles and Trigonometric Functions

Chapter 2: Trigonometric Graphs and Models

2.1 Graphs of Sine and Cosine Functions

2.2 Graphs of Tangent and Cotangent Functions

2.3 Transformations and Applications of Trigonometric Graphs

2.4 Trigonometric Models

Chapter 3: Trig Identities: Their Purpose, Place, and Application

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3.1 Fundamental Identities and Families of Identities

3.2 Constructing and Verifying Identities

3.3 The Sum and Difference Identities

3.4 Double Angle, Half Angle, and Product-to-Sum Identities

Chapter 4: Trigonometric Equations

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4.1 One-to-One and Inverse Functions

4.2 The Inverse Trig Functions and their Application

4.3 Solving Basic Trig Equations

4.4 General Trig Equations and Applications

4.5 Parametric Equations and Graphs

Chapter 5: Applications of Trigonometry

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5.1 Oblique Triangles and the Law of Sines

5.2 Law of Sines and the Ambiguous Case

5.3 The Law of Cosines

5.4 Vectors and Vector Diagrams

5.5 Vectors Applications and the Dot Product

5.6 Complex Numbers

5.7 Complex Numbers in Trigonometric Form

5.8 Demoivre's Theorem and the Nth Roots Theorem

Chapter 6: Conic Sections and Polar Coordinates

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6.1 The Circle and the Ellipse

6.2 The Hyperbola

6.3 Foci and the Analytic Ellipse and Hyperbola

6.4 The Analytic Parabola

6.5 Polar Coordinates, Equations, and Graphs

6.6 More on the Conic Sections: Rotations of Axes and Polar Form