Trigonometry 1th edition

Trigonometry Description

Trigonometry: A Circular Function Approach 1 Edition 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