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Trigonometry

by Dugopolski, Mark

Edition:

2nd

ISBN13:

9780321356901

ISBN10:

032135690X

Format:

Hardcover

Pub. Date:

1/1/2007

Publisher(s):

Addison Wesley

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Summary

Providing Strategies for Success: This text provides numerous strategies for success for both students and instructors. Instructors will find the book easier to use with such additions as an Annotated Instructor's Edition, instructor notes within the exercise sets, and an Insider's Guide. Students will find success through features including highlights, exercise hints, art annotations, critical thinking exercises, and pop quizzes, as well as procedures, strategies, and summaries.

Preface

vii

Supplements List

Function Gallery

Algebraic Prerequisites

The Cartesian Coordinate System

(10)

Functions

(8)

Families of Functions, Transformations, and Symmetry

(11)

Compositions and Inverses

(15)

Chapter P Highlights

(1)

Chapter P Review Exercises

(2)

Chapter P Test

(2)

Angles and the Trigonometric Functions

Angles and Degree Measure

(9)

Radian Measure, Are Length, and Area

(11)

Angular and Linear Velocity

(6)

The Trigonometric Functions

(11)

Right Triangle Trigonometry

(15)

The Fundamental Identity and Reference Angles

(14)

Chapter 1 Highlights

106

(2)

Chapter 1 Review Exercises

108

(2)

Chapter 1 Test

110

(2)

Graphs of the Trigonometric Functions

The Unit Circle and Graphing

112

(13)

The General Sine Wave

125

(12)

Graphs of the Secant and Cosecant Functions

137

(6)

Graphs of the Tangent and Cotangent Functions

143

(11)

Combining Functions

154

(13)

Chapter 2 Highlights

161

(1)

Chapter 2 Review Exercises

162

(1)

Chapter 2 Test

163

(1)

Tying it all Together

164

(3)

Trigonometric Identities

Basic Identities

167

(10)

Verifying Identities

177

(8)

Sum and Difference Identities for Cosine

185

(7)

Sum and Difference Identities for Sine and Tangent

192

(6)

Double-Angle and Half-Angle Identities

198

(10)

Product and Sum Identities

208

(16)

Chapter 3 Highlights

218

(1)

Chapter 3 Review Exercises

219

(2)

Chapter 3 Test

221

(1)

Tying it all Together

222

(2)

Solving Conditional Trigonometric Equations

The Inverse Trigonometric Functions

224

(11)

Basic Sine, Cosine, and Tangent Equations

235

(14)

Multiple Angle Equations

249

(6)

Trigonometric Equations of Quadratic Type

255

(13)

Chapter 4 Highlights

262

(1)

Chapter 4 Review Exercises

263

(2)

Chapter 4 Test

265

(1)

Tying it all Together

266

(2)

Applications of Trigonometry

The Law of Sines

268

(12)

The Law of Cosines

280

(11)

Area of a Triangle

291

(7)

Vectors

298

(12)

Applications of Vectors

310

(15)

Chapter 5 Highlights

320

(1)

Chapter 5 Review Exercises

321

(2)

Chapter 5 Test

323

(1)

Tying it all Together

323

(2)

Complex Numbers, Polar Coordinates, and Parametric Equations

Complex Numbers

325

(8)

Trigonometric Form of Complex Numbers

333

(8)

Powers and Roots of Complex Numbers

341

(6)

Polar Equations

347

(11)

Parametric Equations

358

Chapter 6 Highlights

363

(1)

Chapter 6 Review Exercises

364

(2)

Chapter 6 Test

366

(1)

Tying it all Together

366

Appendix A: Solutions to Try This Exercises

(14)

Appendix B: More Thinking Outside the Box

Answers to Selected Exercises

(1)

Credits

(1)

Index of Applications

(2)

Index

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Trigonometry

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Summary

Table of Contents