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Accessible to students and flexible for instructors, College Trigonometry, Sixth Edition, uses the dynamic link between concepts and applications to bring mathematics to life. By incorporating interactive learning techniques, the Aufmann team helps students to better understand concepts, work independently, and obtain greater mathematical fluency. The text also includes technology features to accommodate courses that allow the option of using graphing calculators. Additional program components that support student success include Eduspace tutorial practice, online homework, SMARTHINKING Live Online Tutoring, and Instructional DVDs.The authors' proven Aufmann Interactive Method allows students to try a skill as it is presented in example form. This interaction between the examples and Try Exercises serves as a checkpoint to students as they read the textbook, do their homework, or study a section. In the Sixth Edition, Review Notes are featured more prominently throughout the text to help students recognize the key prerequisite skills needed to understand new concepts.
Note: Each chapter ends with "Exploring Concepts with Technology," a Chapter Summary, Assessing Concepts, Review Exercises, "Quantitative Reasoning," a Chapter Test, and Cumulative Review Exercises. 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 2. Trigonometric Functions 2.1 Angles and Arcs 2.2 Right Angle Trigonometry 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 Functions 2.7 Graphing Techniques 2.8 Harmonic Motion—An Application of the Sine and Cosine Functions 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 4. Applications of Trigonometry 4.1 The Law of Sines 4.2 The Law of Cosines and Area 4.3 Vectors 5. Complex Numbers 5.1 Complex Numbers 5.2 Trigonometric Form of Complex Numbers 5.3 De Moivre's Theorem 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 7. Exponential and Logarithmic Functions 7.1 Exponential Functions and Their Applications 7.2 Logarithmic Functions and Their Applications 7.3 Properties of Logarithms and Logarithmic Scales 7.4 Exponential and Logarithmic Functions 7.5 Exponential Growth and Decay 7.6 Modeling Data with Exponential and Logarithmic Functions