College Trigonometry

Contents Note: Each chapter concludes with a Summary, True/False Exercises, Review Exercises, and a Chapter Test. 1. Functions and Graphs 1.1 Equations and Inequalities 1.2 A Two-Dimensional Coordinate System and Graphs 1.3 Introduction to Functions 1.4 Properties of Graphs 1.5 The Algebra of Functions 1.6 Inverse Functions 1.7 Modeling Data Using Regression Exploring Concepts with Technology: Graphing Piecewise Functions with a Graphing Calculator 2. Trigonometric Functions 2.1 Angles and Arcs 2.2 Trigonometric Functions of Acute Angles 2.3 Trigonometric Functions of Any Angle 2.4 Trigonometric Functions of Real Numbers 2.5 Graphs of the Sine and Cosine Functions 2.6 Graphs of the Other Trigonometric Fuctions 2.7 Graphing Techniques 2.8 Harmonic Motion--An Application of the Sine and Cosine Functions Exploring Concepts with Technology: Sinusoidal Families 3. Trigonometric Identities and Equations 3.1 Verification of Trigonometric Identities 3.2 Sum, Difference, and Cofunction Identities 3.3 Double- and Half-Angle Identities 3.4 Identities Involving the Sum of Trigonometric Functions 3.5 Inverse Trigonometric Functions 3.6 Trigonometric Equations Exploring Concepts with Technology: Approximate an Inverse Trigonometric Function with Polynomials 4. Applications of Trigonometry 4.1 The Law of Sines 4.2 The Law of Cosines and Area 4.3 Vectors Exploring Concepts with Technology: Optimal Branching of Arteries 5. Complex Numbers 5.1 Complex Numbers 5.2 Trigonometric Form of Complex Numbers 5.3 De Moivre's Theorem Exploring Concepts with Technology: The Mandelbrot Replacement Procedure 6. Topics in Analytic Geometry 6.1 Parabolas 6.2 Ellipses 6.3 Hyperbolas 6.4 Rotation of Axes 6.5 Introduction to Polar Coordinates 6.6 Polar Equations of the Conics 6.7 Parametric Equations Exploring Concepts with Technology: Using a Graphing Calculator to Find the nth Root of z 7. Exponential and Logarithmic Functions 7.1 Exponential Functions and Their Graphs 7.2 Logarithmic Functions and Their Graphs 7.3 Properties of Logarithms 7.4 Exponential and Logarithmic Equations 7.5 Applications of Exponential and Logarithmic Functions 7.6 Modeling Data with Exponential and Logarithmic Functions Exploring Concepts with Technology: Using a Semi-Log Graph to Model Exponential Decay Solutions to Selected Exercises Answers to Odd-Numbered Exercises Glossary IndexAufmann, Richard N. is the author of 'College Trigonometry' with ISBN 9780618130870 and ISBN 061813087X.