Trigonometry

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9780618643325: Trigonometry

This market-leading text continues to provide students and instructors with sound, consistently structured explanations of the mathematical concepts. Designed for a one-term course that prepares students to study calculus, the new Seventh Edition retains the features that have made Trigonometry a complete solution for both students and instructors: interesting applications, cutting-edge design, and innovative technology combined with an abundance of carefully written exercises.

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Note: Each chapter concludes with a Chapter Summary, Review Exercises, a Chapter Test, Proofs in Mathematics, and P.S. Problem Solving. 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 Transformations of Functions P.9 Combinations of Functions: Composite 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 Cumulative Test: Chapters 1-3 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 Cumulative Test: Chapters 4-6 Appendix A: Concepts in Statistics (web) A.1 Representing Data A.2 Measures of Central Tendency and Dispersion A.3 Least Squares Regression

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