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Cover image for Trigonometry
Title:
Trigonometry
Personal Author:
Edition:
5th ed.
Publication Information:
Boston : Houghton Mifflin Com., 2001
ISBN:
9780618052868
Subject Term:
Added Author:

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30000004740290 QA531 L37 2001 Open Access Book Book
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30000004506212 QA531 L37 2001 Open Access Book Book
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Summary

Summary

As the best-seller in its field, Trigonometry, 5/e, offers both instructors and students a more solid, comprehensive, and flexible program than ever before. Designed for the one- or two-term precalculus course, the text introduces trigonometry first with a unit circle approach and then with the right triangle.For a complete listing of features, see Larson/Hostetler, College Algebra, 5/e.


Table of Contents

Note: Each chapter contains a Chapter Summary
Review Exercises, and a Chapter Test
P Prerequisites
P.1 Real Numbers
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 Shifting, Reflecting, and Stretching Graphs
P.8 Combinations of Functions
P.9 Inverse Functions Chapter Project: A Graphical Approach to Maximization
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 Chapter Project: Analyzing a Graph
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 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 for 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 Chapter Project: Using a Graphing Utility to Create Fractals
5 Exponential and Logarithmic Functions1
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 Chapter Project: Graphical Approach to Compound Interest
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 Chapter Project: Polar, Rectangular, and Parametric Forms Cumulative Test for 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
B.3 Least Squares Regression
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