Trigonometry

Dr. Ron Larson is a professor of mathematics at the Pennsylvania State University, where he has taught since 1970. He is considered the pioneer of using multimedia to enhance the learning of mathematics, having authored more than 30 software titles since 1990. Dr. Larson has also authored numerous acclaimed textbooks, including the best-selling calculus series coauthored with Dr. Bruce Edwards and published by Cengage. Dr. Larson received the 2017 William Holmes McGuffey Longevity Award for PRECALCULUS and for CALCULUS. He also received the 2018 Text and Academic Authors Association TEXTY Award for CALCULUS: EARLY TRANSCENDENTAL FUNCTIONS. In addition, Dr. Larson received the 1996 Text and Academic Authors Association TEXTY Award for INTERACTIVE CALCULUS -- a complete text on CD-ROM that was the first mainstream college textbook to be offered on the internet.

• 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. Cumulative Test for Chapters 1-2. 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. Cumulative Test for Chapters 3-4. 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. Cumulative Test for Chapters 5-6. 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.