Introduction CHAPTER 1 Angles and Their Measure Definitions and Terminology Complementary and Supplementary Angles Coterminal Angles and Reference Angles Radian Measure CHAPTER 2 Concepts from Geometry The Sum of a Triangle''s Angles and the Triangle Inequality The Pythagorean Theorem CHAPTER 3 Right Triangle Trigonometry Trigonometric Ratios of an Acute Angle in a Right Triangle Trigonometric Ratios of Special Acute Angles CHAPTER 4 General Right Triangles Solving Right Triangles Applications of Right Triangle Trigonometry CHAPTER 5 Oblique Triangles Law of Cosines (SAS or SSS) Law of Sines (ASA or AAS) Law of Sines Ambiguous Case (SSA) Solving General Triangles Area of a General Triangle Using Trigonometry CHAPTER 6 Trigonometric Functions of Any Angle Definitions of the Trigonometric Functions Trigonometric Functions of Complementary Angles The Unit Circle Trigonometric Functions of Quadrantal Angles Trigonometric Functions of Coterminal Angles Trigonometric Functions of Negative Angles Using Reference Angles to Find the Values of Trigonometric Functions CHAPTER 7 Trigonometric Identities Definition and Guidelines The Reciprocal and Ratio Identities The Pythagorean Identities Sum and Difference Formulas for the Sine Function Sum and Difference Formulas for the Cosine Function Sum and Difference Formulas for the Tangent Function Reduction Formulas Double-Angle Identities Half-Angle Identities Sum-to-Product Identities Product-to-Sum Identities CHAPTER 8 Trigonometric Functions of Real Numbers Definitions and Basic Concepts of Trigonometric Functions of Real Numbers Periodic Functions CHAPTER 9 Graphs of the Sine Function The Graph of y = sin x The Graph of y = A sin x The Graph of y = A sin Bx The Graph of y = A sin (Bx - C) The Graph of y = A sin (Bx - C) + D CHAPTER 10 Graphs of the Cosine Function The Graph of y = cos x The Graph of y = A cos (Bx - C) + D CHAPTER 11 Graphs of the Tangent Function The Graph of y = tan x The Graph of y = A tan (Bx - C) + D CHAPTER 12 Graphs of the Secant, Cosecant, and Cotangent Functions The Graph of y = A sec (Bx - C) + D The Graph of y = A csc (Bx - C) + D The Graph of y = A cot (Bx - C) + D CHAPTER 13 Inverse Trigonometric Functions The Inverse Sine, Cosine, and Tangent Functions The Inverse Secant, Cosecant, and Cotangent Functions CHAPTER 14 Solving Trigonometric Equations Basic Concepts of Trigonometric Equations Solving for Exact Solutions to Trigonometric Equations Solving for Approximate Solutions to Trigonometric Equations CHAPTER 15 Trigonometric Form of a Complex Number Definition of the Trigonometric Form of a Complex Number The Product and Quotient of Trigonometric Forms of Complex Numbers De Moivre''s Theorem Roots of Complex Numbers CHAPTER 16 Polar Coordinates Basic Concepts of Polar Coordinates Converting Between Coordinate Systems Graphing Equations in Polar Form Glossary APPENDIX A Calculator Instructions for Trigonometry Using the TI-84 Plus General Usage Setting the Calculator to Degree or Radian Mode Overriding Radian or Degree Mode Evaluating Trigonometric Functions Determining Inverse Trigonometric Values Graphing Polar Equations APPENDIX B Trigonometric Identities APPENDIX C The Complex Plane Answer Key.