<p>P. Algebraic Prerequisites</p> <p>P.1 The Cartesian Coordinate System</p> <p>P.2 Functions</p> <p>P.3 Families of Functions, Transformations, and Symmetry</p> <p>P.4 Compositions and Inverses</p> <p> Chapter P Highlights</p> <p> Chapter P Review Exercises</p> <p> Chapter P Test</p> <p> </p> <p>1. Angles and the Trigonometric Functions</p> <p>1.1 Angles and Degree Measure</p> <p>1.2 Radian Measure, Arc Length, and Area</p> <p>1.3 Angular and Linear Velocity</p> <p>1.4 The Trigonometric Functions</p> <p>1.5 Right Triangle Trigonometry</p> <p>1.6 The Fundamental Identity and Reference Angles</p> <p> Chapter 1 Highlights</p> <p> Chapter 1 Review Exercises</p> <p> Chapter 1 Test</p> <p> </p> <p>2. Graphs of the Trigonometric Functions</p> <p>2.1 The Unit Circle and Graphing</p> <p>2.2 The General Sine Wave</p> <p>2.3 Graphs of the Secant and Cosecant Functions</p> <p>2.4 Graphs of the Tangent and Cotangent Functions</p> <p>2.5 Combining Functions</p> <p> Chapter 2 Highlights</p> <p> Chapter 2 Review Exercises</p> <p> Chapter 2 Test</p> <p> Tying it all Together</p> <p> </p> <p>3. Trigonometric Identities</p> <p>3.1 Basic Identities</p> <p>3.2 Verifying Identities</p> <p>3.3 Sum and Difference Identities for Cosine</p> <p>3.4 Sum and Difference Identities for Sine and Tangent</p> <p>3.5 Double-Angle and Half-Angle Identities</p> <p>3.6 Product and Sum Identities</p> <p> Chapter 3 Highlights</p> <p> Chapter 3 Review Exercises</p> <p> Chapter 3 Test</p> <p> Tying it all Together</p> <p> </p> <p>4. Solving Conditional Trigonometric Equations</p> <p>4.1 The Inverse Trigonometric Functions</p> <p>4.2 Basic Sine, Cosine, and Tangent Equations</p> <p>4.3 Multiple-Angle Equations</p> <p>4.4 Trigonometric Equations of Quadratic Type</p> <p> Chapter 4 Highlights</p> <p> Chapter 4 Review Exercises</p> <p> Chapter 4 Test</p> <p> Tying it all Together</p> <p> </p> <p>5. Applications of Trigonometry</p> <p>5.1 The Law of Sines</p> <p>5.2 The Law of Cosines</p> <p>5.3 Area of a Triangle</p> <p>5.4 Vectors</p> <p>5.5 Applications of Vectors</p> <p> Chapter 5 Highlights</p> <p> Chapter 5 Review Exercises</p> <p> Chapter 5 Test</p> <p> Tying it all Together</p> <p> </p> <p>6. Complex Numbers, Polar Coordinates, and Parametric Equations</p> <p>6.1 Complex Numbers</p> <p>6.2 Trigonometric Form of Complex Numbers</p> <p>6.3 Powers and Roots of Complex Numbers</p> <p>6.4 Polar Equations</p> <p>6.5 Parametric Equations</p> <p> Chapter 6 Highlights</p> <p> Chapter 6 Review Exercises</p> <p> Chapter 6 Test</p> <p> Tying it all Together</p> <p> </p> <p>Appendix A: Solutions to Try This Exercise</p> <p>Appendix B: More Thinking Outside the Box</p> <p>Answers to All Exercises</p> <p> </p>
