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9781256469902

Trigonometry A Circular Function Approach

by
  • ISBN13:

    9781256469902

  • ISBN10:

    1256469904

  • Edition: 1st
  • Format: Paperback
  • Copyright: 2011-12-23
  • Publisher: Pearson Learning Solutions

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Table of Contents

Preface xi

Chapter 1 Circular Functions 1

1.1 Fundamentals for Trigonometry 2

1.2 Circular Functions: The Cosine and Sine Functions 4

1.3 Functional Values for Common Arcs 16

1.4 Reference Arcs and Functional Values for cos x and sin x, x 27

1.5 Four Additional Circular Functions: Tangent, Secant, Cosecant, and Cotangent Functions 40

1.6 Negative Identities and Periods for the Circular Functions 53

Chapter Summary 63

Review Exercises 66

Chapter Test 71

 

Chapter 2 Graphs of the Circular Functions 73

2.1 Graphs of the Sine and Cosine Functions 74

2.2 Period, Phase Shift, and Other Translations 92

2.3 Applications and Modeling with Sinusoidal Functions 109

2.4 Graphs of the Tangent, Cotangent, Secant, and Cosecant Functions 119

2.5 Inverses of the Circular Functions 133Chapter Summary 147

Review Exercises 151

Chapter Test 155

 

Chapter 3 The Trigonometric Functions 159

3.1 Angles and Their Measure 160

3.2 Trigonometric and Circular Functions 173

3.3 Solving Right Triangles and Applications 185

3.4 Solution of Triangles Using Law of Sines 204

3.5 Solution of Triangles Using Law of Cosines 218

Chapter Summary 227

Review Exercises 230

Chapter Test 233

 

Chapter 4 Identities 235

4.1 Proving Identities 236

4.2 Sum and Difference Identities for Cosine 248

4.3 Sum and Difference Identities for Sine and Tangent 258

4.4 Double-Angle Identities 266

4.5 Half-Angle and Additional Identities 273Chapter Summary 284

Review Exercises 286

Chapter Test 289

 

Chapter 5 Trigonometric Equations 291

5.1 Solving Conditional Equations I 292

5.2 Solving Trigonometric Conditional Equations II 298

5.3 More Trigonometric Equations, Multiple-Angle Equations 304

5.4 Parametric Equations 313

Chapter Summary 322

Review Exercises 323

Chapter Test 325

Chapter 6 Vectors, Polar Equations, and Complex Numbers 327

6.1 Geometric Vectors and Applications 328

6.2 Algebraic Vectors 339

6.3 Polar Coordinate System 350

6.4 Complex Numbers 364

6.5 Trigonometric Form for Complex Numbers 372

Chapter Summary 385

Review Exercises 389

Chapter Test 391

 

Cumulative Review 393

Appendix A Algebra Review 399

Appendix B Geometry Review 425

Answers to Selected Exercises A-1

Index I-1

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