Trigonometry

1. RIGHT TRIANGLE TRIGONOMETRY. Angles, Degree Measure, and Special Triangles. Similar Triangles. Trigonometric Functions: Right Triangle Ratios. Solving Right Triangles. Chapter Summary. Review Exercises. Chapter Test. Proofs in Mathematics. P.S. Problem Solving. 2. TRIGONOMETRIC FUNCTIONS. Trigonometric Functions of Any Angle. Radian Measure. The Unit Circle and Trigonometric Functions. Basic Trigonometric Identities. Chapter Summary. Review Exercises. Chapter Test. Proofs in Mathematics. P.S. Problem Solving. 3. GRAPHS OF TRIGONOMETRIC FUNCTIONS. Graphs of Sine and Cosine Functions. Transformations of the Graphs of Sine and Cosine Functions. Graphs of Other Trigonometric Functions. Inverse Trigonometric Functions. Solving Trigonometric Equations Algebraically and Graphically. Chapter Summary. Review Exercises. Chapter Test. Proofs in Mathematics. P.S. Problem Solving. 4. ANALYTIC TRIGONOMETRY. Using Fundamental Identities. Verifying Trigonometric Identities. Sum and Difference Formulas. Multiple-Angle Formulas. Product-to-Sum and Sum-to-Product Formulas. Solving Trigonometric Equations Using Identities and Formulas. Chapter Summary. Review Exercises. Chapter Test. Proofs in Mathematics. P.S. Problem Solving. 5. ADDITIONAL TOPICS IN TRIGONOMETRY. Law of Sines. Law of Cosines. Vectors in the Plane. Vectors and Dot Products. Chapter Summary. Review Exercises. Chapter Test. Proofs in Mathematics. P.S. Problem Solving. 6. COMPLEX NUMBERS, PARAMETRIC EQUATIONS, AND POLAR EQUATIONS. Complex Numbers. Trigonometric Form of a Complex Number. DeMoivre's Theorem. Parametric Equations. Polar Coordinates. Graphs of Polar Equations. Chapter Summary. Review Exercises. Chapter Test. Proofs in Mathematics. P.S. Problem Solving. APPENDIX A: ALGEBRA REVIEW. Review of Real Numbers and Their Properties. Solving Equations. The Cartesian Plane and Graphs of Equations. Linear Equations in Two Variables. Functions. Analyzing Graphs of Functions. A Library of Parent Functions. Transformations of Functions. Combinations of Functions: Composite Functions. Inverse Functions. APPENDIX B: CONCEPTS IN STATISTICS (ONLINE). Representing Data. Analyzing Data. Modeling Data.