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Trigonometry Enhanced with Graphing Utilities

by: Sullivan, Michael; Sullivan, Michael

Trigonometry Enhanced with Graphing Utilities

by: Sullivan, Michael; Sullivan, Michael

ISBN 13:
9780130659149
ISBN 10:
0130659142
Edition: 3rd
Format: Hardcover
Copyright: 01/01/2003
Publisher: Pearson College Div
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Summary

Includes coverage of trigonometric functions and their applications, analytic trigonometry, polar coordinates and vectors, and exponential and logarithmic functions. For anyone who needs to brush up on everyday or business-related mathematics. Previous ed. c2000.

Preface to the Instructor

Preface to the Student

xvi

List of Applications

xxvii

Photo Credits

xxxi

Functions and Their Graphs

(96)

Rectangular Coordinates; Graphing Utilities

(10)

Introduction to Graphing Equations

(8)

Symmetry; Graphing Key Equations; Circles

(13)

Functions

(18)

Properties of Functions; Library of Functions

(13)

Graphing Techniques: Transformations

(13)

One-to-One Functions; Inverse Functions

(20)

Chapter Review

(5)

Chapter Projects

(2)

Trigonometric Functions

(100)

Angles and Their Measure

(14)

Right Triangle Trigonometry

112

(11)

Computing the Values of Trigonometric Functions of Given Angles

123

(8)

Trigonometric Functions of General Angles

131

(11)

Properties of the Trigonometric Functions; Unit Circle Approach

142

(12)

Graphs of the Sine and Cosine Functions

154

(16)

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

170

(7)

Phase Shift; Sinusoidal Curve Fitting

177

(20)

Chapter Review

188

(6)

Chapter Projects

194

(2)

Cumulative Review

196

(1)

Analytic Trigonometry

197

(70)

The Inverse Sine, Cosine, and Tangent Functions

198

(12)

The Inverse Trigonometric Functions (continued)

210

(5)

Trigonometric Identities

215

(7)

Sum and Difference Formulas

222

(11)

Double-Angle and Half-Angle Formulas

233

(10)

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

243

(4)

Trigonometric Equations (I)

247

(6)

Trigonometric Equations (II)

253

(14)

Chapter Review

260

(4)

Chapter Projects

264

(1)

Cumulative Review

265

(2)

Applications of Trigonometric Functions

267

(50)

Applications Involving Right Triangles

268

(8)

The Law of Sines

276

(12)

The Law of Cosines

288

(6)

Area of a Triangle

294

(6)

Simple Harmonic Motion; Damped Motion; Combining Waves

300

(17)

Chapter Review

310

(4)

Chapter Projects

314

(2)

Cumulative Review

316

(1)

Polar Coordinates; Vectors

317

(80)

Polar Coordinates

318

(9)

Polar Equations and Graphs

327

(18)

The Complex Plane; De Moivre's Theorem

345

(9)

Vectors

354

(12)

The Dot Product

366

(8)

Vectors in Space

374

(10)

The Cross Product

384

(13)

Chapter Review

390

(4)

Chapter Projects

394

(1)

Cumulative Review

395

(2)

Analytic Geometry

397

(78)

Conics

398

(1)

The Parabola

399

(12)

The Ellipse

411

(12)

The Hyperbola

423

(15)

Rotation of Axes; General Form of a Conic

438

(9)

Polar Equations of Conics

447

(7)

Plane Curves and Parametric Equations

454

(21)

Chapter Review

469

(4)

Chapter Projects

473

(1)

Cumulative Review

474

(1)

Exponential and Logarithmic Functions

475

(80)

Exponential Functions

476

(14)

Logarithmic Functions

490

(12)

Properties of Logarithms

502

(10)

Logarithmic and Exponential Equations

512

(4)

Compound Interest

516

(11)

Growth and Decay

527

(11)

Exponential, Logarithmic, and Logistic Models

538

(17)

Chapter Review

547

(6)

Chapter Projects

553

(2)

APPENDIX REVIEW

555

A.1 Algebra Review

555

(10)

A.2 Geometry Review

565

(6)

A.3 Solving Equations

571

(14)

A.4 Complex Numbers; Quadratic Equations with a Negative Discriminant

585

(9)

A.5 Inequalities

594

(12)

A.6 nth Roots; Rational Exponents

606

(6)

A.7 Lines

612

(16)

A.8 Scatter Diagrams; Linear Curve Fitting

628

Answers

(1)

Index

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Trigonometry Enhanced with Graphing Utilities

Trigonometry Enhanced with Graphing Utilities

9780130659149

0130659142

Summary

Table of Contents

Supplemental Materials

Write a Review

Amazon no longer offers textbook rentals. We do!

Trigonometry Enhanced with Graphing Utilities

Trigonometry Enhanced with Graphing Utilities

9780130659149

0130659142

Summary

Table of Contents

Supplemental Materials

Write a Review

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