Trigonometry Enhanced with Graphing Utilities / Edition 4

Trigonometry Enhanced with Graphing Utilities / Edition 4

by Michael Sullivan
     
 

ISBN-10: 0131527266

ISBN-13: 9780131527263

Pub. Date: 05/11/2005

Publisher: Prentice Hall

This is the number one, best selling graphing-required version of Mike Sullivan's precalculus series because, simply, "IT WORKS." Mike Sullivan, after twenty-five years of teaching, knows exactly what readers need to do to succeed and he therefore emphasizes and organizes his text around the fundamentals; preparing, practicing, and reviewing. Readers who

Overview

This is the number one, best selling graphing-required version of Mike Sullivan's precalculus series because, simply, "IT WORKS." Mike Sullivan, after twenty-five years of teaching, knows exactly what readers need to do to succeed and he therefore emphasizes and organizes his text around the fundamentals; preparing, practicing, and reviewing. Readers who prepare (read the book, practice their skills learned in previous math classes), practice (work the math focusing on the fundamental and important mathematical concepts), and review (study key concepts and review for quizzes and tests) succeed. This dependable text retains its best features–accuracy, precision, depth, strong reader support, and abundant exercises, while substantially updating content and pedagogy. After completing the book, readers will be prepared to handle the algebra found in subsequent courses such as finite mathematics, business mathematics, and engineering calculus.

Graphs. Trigonometric Functions. Analytic Trigonometry. Applications of Trigonometric Functions. Polar Coordinates; Vectors. Analytic Geometry. Exponential and Logarithmic Functions.
 

For all readers interested in trigonometry. 

Product Details

ISBN-13:
9780131527263
Publisher:
Prentice Hall
Publication date:
05/11/2005
Edition description:
Older Edition
Pages:
768
Product dimensions:
8.74(w) x 10.18(h) x 1.16(d)

Table of Contents

Chapter 1    Graphs

1.1 Rectangular Coordinates; Graphing Utilities

1.2 Graphs of Equations

1.3 Circles

1.4 Functions

1.5 The Graph of a Function

1.6 Properties of Functions; Library of Functions

1.7 Graphing Techniques: Transformations

1.8 Composite Functions

1.9 One-to-One Functions; Inverse Functions

Chapter 2    Trigonometric Functions

2.1 Angles and Their Measure

2.2 Right Triangle Trigonometry

2.3 Computing the Values of Trigonometric Functions of Acute Angles

2.4 Trigonometric Functions of General Angles

2.5 Properties of the Trigonometric Functions; The Unit Circle Approach

2.6 Graphs of the Sine and Cosine Functions

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

2.8 Phase Shift; Sinusoidal Curve Fitting

Chapter Review

Chapter Test

Chapter Project

Cumulative Review

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

Chapter Project

Cumulative Review

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

Chapter Project

Cumulative Review

Chapter 5    PolarCoordinates; 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

Chapter Project

Cumulative Review

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

Chapter Project

Cumulative Review

Chapter 7    Exponential and Logarithmic Functions

7.1 Exponential Functions

7.2 Logarithmic Functions

7.3 Properties of Logarithms

7.4 Logarithmic and Exponential Equations

7.5 Compound Interest

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

7.7 Building Exponential, Logarithmic, and Logistic Models from Data

Chapter Review

Chapter Test

Chapter Project

Cumulative Review

Appendix Review

A.1 Algebra Review

A.2 Geometry Review

A.3 Solving Equations Algebraically

A.4 Solving Equations Using a Graphing Utility

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

A.6 Interval Notation; Solving Inequalities

A.7 nth Roots; Rational Exponents

A.8 LinesA.9 Scatter Diagrams; Linear Curve Fitting

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