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As part of the market-leading Graphing Approach Series by Larson, Hostetler, and Edwards, Trigonometry: A Graphing Approach, 4/e, provides both students and instructors with a sound mathematics course in an approachable, understandable format. The quality and quantity of the exercises, combined with interesting applications, cutting-edge design, and innovative resources, make teaching easier and help students succeed in mathematics. This new edition, intended for trigonometry courses that require the use of a graphing calculator includes a moderate review of algebra to help students entering the course with weak algebra skills.
P. Prerequisites
Introduction to Library of Functions
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
1. Trigonometric Functions
1.1 Radian and Degree Measure
1.2 Trigonmetric 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-Anlge 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. Analytic Geometry: Conics
5.1 Introduction to Conics: Parabolas
5.2 Ellipses
5.3 Hyperbolas
5.4 Rotation and Systems of Quadratic Equations
6. Topics in Analytic Geometry
6.1 Parametric Equations
6.2 Polar Coordinates
6.3 Graphs of Polar Equations
6.4 Polar Equations of Conics
6.5 The Three-Dimensional Coordinate System
6.6 Vectors in Space
6.7 The Cross Product of Two Vectors
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 Solving Exponential and Logarithmic Equations
7.5 Exponential and Logarithmic Models
Cumulative Test: Chapters 4-7
Appendix A. Technology Support
Appendix B. Proofs of Selected Theorems
Appendix C. Measures of Central Tendency and Dispersion
Appendix D. Solving Linear Equations and Inequalities
Appendix E. Exploring Data
E.1 Exploring Data: Representing Data Graphically
E.2 Exploring Data: Linear Models and Scatter Plots
E.3 Exploring Data: Nonlinear Models
Ron Larson, Robert Hostetler and Bruce H. Edwards
ISBN13: 978-0618394586As part of the market-leading Graphing Approach Series by Larson, Hostetler, and Edwards, Trigonometry: A Graphing Approach, 4/e, provides both students and instructors with a sound mathematics course in an approachable, understandable format. The quality and quantity of the exercises, combined with interesting applications, cutting-edge design, and innovative resources, make teaching easier and help students succeed in mathematics. This new edition, intended for trigonometry courses that require the use of a graphing calculator includes a moderate review of algebra to help students entering the course with weak algebra skills.
Table of Contents
P. Prerequisites
Introduction to Library of Functions
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
1. Trigonometric Functions
1.1 Radian and Degree Measure
1.2 Trigonmetric 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-Anlge 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. Analytic Geometry: Conics
5.1 Introduction to Conics: Parabolas
5.2 Ellipses
5.3 Hyperbolas
5.4 Rotation and Systems of Quadratic Equations
6. Topics in Analytic Geometry
6.1 Parametric Equations
6.2 Polar Coordinates
6.3 Graphs of Polar Equations
6.4 Polar Equations of Conics
6.5 The Three-Dimensional Coordinate System
6.6 Vectors in Space
6.7 The Cross Product of Two Vectors
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 Solving Exponential and Logarithmic Equations
7.5 Exponential and Logarithmic Models
Cumulative Test: Chapters 4-7
Appendix A. Technology Support
Appendix B. Proofs of Selected Theorems
Appendix C. Measures of Central Tendency and Dispersion
Appendix D. Solving Linear Equations and Inequalities
Appendix E. Exploring Data
E.1 Exploring Data: Representing Data Graphically
E.2 Exploring Data: Linear Models and Scatter Plots
E.3 Exploring Data: Nonlinear Models