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