Trigonometry: A Graphing Approach

Contents Note: Each chapter contains a Chapter Summary, Review Exercises, and a Chapter Test. P. Prerequisites for Trigonometry P.1 Real Numbers P.2 The Cartesian Plane and Graphs of Equations P.3 Solving Equations Algebraically and Graphically P.4 Lines in the Plane P.5 Functions P.6 Graphs of Functions P.7 Shifting, Reflecting, and Stretching Graphs P.8 Combinations of Functions P.9 Inverse Functions Chapter Project: Modeling the Area of a Plot Library of Functions 1. Trigonometric Functions 1.1 Radian and Degree Measure 1.2 Trigonometric Functions: The Unit Circle 1.3 Right Triangle Trigonometry 1.4 Trigonometric Functions of Any Angle 1.5 Graphs of Sine and Cosine Functions 1.6 Graphs of Other Trigonometric Functions 1.7 Inverse Trigonometric Functions 1.8 Applications and Models Chapter Project: Fitting a Model to Data 2. Analytic Trigonometry 2.1 Using Fundamental Identities 2.2 Verifying Trigonometric Identities 2.3 Solving Trigonometric Equations 2.4 Sum and Difference Formulas 2.5 Multiple-Angle and Product-Sum Formulas Chapter Project: Projectile Motion 3. Additional Topics in Trigonometry 3.1 Law of Sines 3.2 Law of Cosines 3.3 Vectors in the Plane 3.4 Vectors and Dot Products Chapter Project: Adding Vectors Graphically Cumulative Test: Chapters 1-3 4. Complex Numbers 4.1 Complex Numbers 4.2 Complex Solution of Equations 4.3 Trigonometric Form of a Complex Number 4.4 DeMoivre's Theorem Chapter Project: Creating Fractals with a Graphing Utility 5. Exponential and Logarithmic Functions 5.1 Exponential Functions and Their Graphs 5.2 Logarithmic Functions and Their Graphs 5.3 Properties of Logarithms 5.4 Solving Exponential and Logarithmic Equations 5.5 Exponential and Logarithmic Models Chapter Project: A Graphical Approach to Compound Interest 6. Topics in Analytic Geometry 6.1 Introduction to Conics: Parabolas 6.2 Ellipses 6.3 Hyperbolas 6.4 Rotation and Systems of Quadratic Equations 6.5 Parametric Equations 6.6 Polar Coordinates 6.7 Graphs of Polar Equations 6.8 Polar Equations of Conics Chapter Project: Polar, Rectangular, and Parametric Forms Cumulative Test: Chapters 4-6 Appendices: A. Proofs of Selected Theorems. B. Concepts in Statistics. B.1 Representing Data. B.2 Measures of Central Tendency and Dispersion. C. Solving Linear Equations and InequalitiesBruce H. Edwards is the author of 'Trigonometry: A Graphing Approach', published 2000 under ISBN 9780618052936 and ISBN 0618052933.