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Table of Contents
Preliminary Contents P. Prerequisites P.1 Review of Real Numbers and Their Properties P.2 Solving Equations P.3 The Cartesian Plane and Graphs of Equations P.4 Linear Equations in Two Variables P.5 Functions P.6 Analyzing Graphs of Functions P.7 A Library of Functions P.8 Shifting, Reflecting, and Stretching Graphs P.9 Combinations of Functions P.10 Inverse Functions 1. Trigonometry 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 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-to-Sum Formulas 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 4. Complex Numbers 4.1 Complex Numbers 4.2 Complex Solutions of Equations 4.3 Trigonometric Form of a Complex Number 4.4 DeMoivre's Theorem 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 Exponential and Logarithmic Equations 5.5 Exponential and Logarithmic Models 6. Topics in Analytic Geometry 6.1 Lines 6.2 Introduction to Conics: Parabolas 6.3 Ellipses 6.4 Hyperbolas 6.5 Rotation of Conics 6.6 Parametric Equations 6.7 Polar Coordinates 6.8 Graphs of Polar Equations 6.9 Polar Equations of Conics