Trigonometry / Edition 8

Trigonometry / Edition 8

by Michael Sullivan
     
 

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ISBN-10: 0132392798

ISBN-13: 9780132392792

Pub. Date: 05/22/2007

Publisher: Prentice Hall

A proven motivator for readers of diverse mathematical backgrounds, this book explores mathematics within the context of real life using understandable, realistic applications consistent with the abilities of most readers. Graphing techniques are emphasized, including a thorough discussion of polynomial, rational, exponential, and logarithmic functions and conics.

Overview

A proven motivator for readers of diverse mathematical backgrounds, this book explores mathematics within the context of real life using understandable, realistic applications consistent with the abilities of most readers. Graphing techniques are emphasized, including a thorough discussion of polynomial, rational, exponential, and logarithmic functions and conics. Chapter topics include Functions and Their Graphs; Trigonometric Functions; Analytic Trigonometry; Analytic Geometry; Exponential and Logarithmic Functions; and more. For anyone interested in trigonometry.

Product Details

ISBN-13:
9780132392792
Publisher:
Prentice Hall
Publication date:
05/22/2007
Edition description:
Older Edition
Pages:
720
Product dimensions:
8.75(w) x 11.24(h) x 1.19(d)

Table of Contents

TABLE OF CONTENTS

Chapter 1 Graphs and Functions

1.1 The Distance and Midpoint Formulas

1.2 Graphs of Equations; Circles

1.3 Functions and Their Graph

1.4 Properties of Functions

1.5 Library of Functions; Piecewise-defined Functions

1.6 Graphing Techniques: Transformations

1.7 One-to-One Functions; Inverse Functions

Chapter Review

Chapter Test

Cumulative Review

Chapter Projects

Chapter 2 Trigonometric Functions

2.1 Angles and Their Measure

2.2 Trigonometric Functions: Unit Circle Approach

2.3 Properties of the Trigonometric Functions

2.4 Graphs of the Sine and Cosine Functions

2.5 Graphs of the Tangent, Cotangent, Cosecant, and Secant Functions

2.6 Phase Shift; Sinusoidal Curve Fitting

Chapter Review

Chapter Test

Cumulative Review

Chapter Projects

Chapter 3 Analytic Trigonometry

3.1 The Inverse Sine, Cosine, and Tangent Functions

3.2 The Inverse Trigonometric Functions (continued)

3.3 Trigonometric Identities

3.4 Sum and Difference Formulas

3.5 Double-Angle and Half-Angle Formulas

3.6 Product-to-Sum and Sum-to-Product Formulas

3.7 Trigonometric Equations (I)

3.8 Trigonometric Equations (II)

Chapter Review

Chapter Test

Cumulative Review

Chapter Projects

Chapter 4 Applications of Trigonometric Functions

4.1 Applications Involving Right Triangles

4.2 Law of Sines

4.3 Law of Cosines

4.4 Area of a Triangle

4.5 Simple Harmonic Motion; Damped Motion; Combining Waves

Chapter Review

Chapter Test

Cumulative Review

Chapter Projects

Chapter 5 Polar Coordinates; Vectors

5.1 Polar Coordinates

5.2 Polar Equations and Graphs

5.3 The Complex Plane; DeMoivre’s Theorem

5.4 Vectors

5.5 The Dot Product

5.6 Vectors in Space

5.7 The Cross Product

Chapter Review

Chapter Test

Cumulative Review

Chapter Projects

Chapter 6 Analytic Geometry

6.1 Conics

6.2 The Parabola

6.3 The Ellipse

6.4 The Hyperbola

6.5 Rotation of Axes; General Form of a Conic

6.6 Polar Equations of Conics

6.7 Plane Curves and Parametric Equations

Chapter Review

Chapter Test

Cumulative Review

Chapter Projects

Chapter 7 Exponential and Logarithmic Functions

7.1 Exponential Functions

7.2Logarithmic Functions

7.3 Properties of Logarithms

7.4 Logarithmic and Exponential Equations

7.5 Compound Interest

7.6 Exponential Growth and Decay Models; Newton’s Law; Logistic Growth and Decay Models

7.7 Building Exponential, Logarithmic, and Logistic Functions from Data

Chapter Review

Chapter Test

Cumulative Review

Chapter Projects

Appendix A Review

A.1 Algebra Essentials

A.2 Geometry Essentials

A.3 Factoring Polynomials

A.4 Solving Equations

A.5 Complex Numbers; Quadratic Equations in the Complex Number System

A.6 Interval Notation; Solving Inequalities

A.7 nth Roots; Rational Exponents; Radical Equations

A.8 Lines

A.9 Building Linear Functions from Data

Appendix B Graphing Utilities

B.1 The Viewing Rectangle

B.2 Using a Graphing Utility to Graph Equations

B.3 Using a Graphing Utility to Locate Intercepts and Check for Symmetry

B.4 Using a Graphing Utility to Solve Equations

B.5 Square Screens

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