PREFACE CHAPTER 1: Measurement of Angles, Arcs and Sectors 1-1 Using Radians, Degrees, or Grads to Measure Angles 1-2 Length of an Arc and Area of a Sector of a Circle 1-3 Circular Motion Key Ideas Review Test CHAPTER 2: The Trigonometric Functions 2-1 Definition of the Six Trigonometric Functions 2-2 Values of the Trigonometric Functions for 0, 30, 45, 60, 90, 180 degree Angles 2-3 Trigonometric Functions for Right Triangles 2-4 Solving Right Triangles 2-5 Applications of Right Triangle Trigonometry 2-6 Circular Functions Key Ideas Review Test CHAPTER 3: Graphs of the Trigonometric Functions 3-1 Graphing Generic Sine and Cosine Functions 3-2 Shifting Generic Curves Right/Left or Up/Down 3-3 Using the Graphing Calculator to Graph Functions by Addition of Ordinates 3-4 Graphing the Tangent and Cotangent Functions 3-5 Graphing the Secant and Cosecant Functions 3-6 Qualitative Analysis of Trigonometric Functions Key Ideas Review Test CHAPTER 4: Inverse Trigonometric Functions 4-1 Relations, Functions, and Their Inverses 4-2 Inverse of the Trigonometric Functions 4-3 Finding Inverses of Trigonometric Functions Using a Calculator Key Ideas Review Test CHAPTER 5: Basic Trigonometric Identities 5-1 Fundamental Identities 5-2 Opposite Angle Identities 5-3 Additional Techniques to Prove Identities Key Ideas Review Test CHAPTER 6: Sum and Difference Identities 6-1 Sum and Difference Formulas for Cosine 6-2 Some Identities Useful in Calculus 6-3 Tan ( | ?) 6-4 Identities Involving Sums and Differences of n or +n Key Ideas Review Test Chapters 1-6 Cumulative Review CHAPTER 7: Additional Identities 7-1 Double-Angle Identities 7-2 Half-Angle Identities 7-3 Identities to Rewrite Sums and Products Key Ideas Review Test CHAPTER 8: Trigonometric Equations 8-1 Solving Basic Trigonometric Equations 8-2 Solving Trigonometric Equations Involving Factoring 8-3 Solving Trigonometric Equations Where the Argument is a Function 8-4 Using Identities to Solve Trigonometric Equations 8-5 Applications Key Ideas Review Test CHAPTER 9: Laws of Sines and Law of Cosines 9-1 Derivation of the Law of Sines 9-2 The Ambiguous Case 9-3 Applications of the Law of Sines 9-4 Derivations of the Law of Cosines 9-5 Applications of the Law of Cosines 9-6 Area of a Triangle Key Ideas Review Test CHAPTER 10: Vectors 10-1 Addition of Vectors 10-2 Geometric Resolution of Vectors 10-3 Algebraic Resolution of Vectors 10-4 Work, Inclined Planes, and the Dot Product Key Ideas Review Test CHAPTER 11: Complex Numbers 11-1 Algebraic Operations with Complex Numbers 11-2 Trigonometric and Polar Representation of Complex Numbers 11-3 DeMoivre's Theorem Key Ideas Review Test CHAPTER 12: Polar Coordinates 12-1 The Polar Coordinate System 12-2 Parametric Equations 12-3 Other Curves in Polar Coordinates Key Ideas Review Test Chapters 1-12 Cumulative Review APPENDIX ROUNDING OFF AND SIGNIFICANT FIGURES SELECTED ANSWERS INDEX
