Dugopolski's Trigonometry, Third Edition gives readers the essential strategies to help them develop the comprehension and confidence they need to be successful in this course. Readers will find enough carefully placed learning aids and review tools to help them do the math without getting distracted from their objectives. Regardless of their goals beyond the course, all readers will benefit from Dugopolski's emphasis on problem solving and critical thinking, which is enhanced by the addition of hundreds of exercises in this edition.
Auflage
Sprache
Verlagsort
Verlagsgruppe
Zielgruppe
Für höhere Schule und Studium
Maße
Höhe: 282 mm
Breite: 220 mm
Dicke: 20 mm
Gewicht
ISBN-13
978-0-321-64475-6 (9780321644756)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Klassifikation
Mark Dugopolski was born in Menominee, Michigan. After receiving a BS from Michigan State University, he taught high school in Illinois for four years. He received an M.S. in mathematics from Northern Illinois University at DeKalb. He then received a PhD in the area of topology and an MS in statistics from the University of Illinois at Champaign-Urbana. Mark taught mathematics at Southeastern Louisiana University in Hammond for twenty-five years and now holds the rank of Professor Emeritus of Mathematics. He has been writing textbooks since 1988. He is married and has two daughters. In his spare time he enjoys tennis, jogging, bicycling, fishing, kayaking, gardening, bridge, and motorcycling.
P. Algebraic Prerequisites
P.1 The Cartesian Coordinate System
P.2 Functions
P.3 Families of Functions, Transformations, and Symmetry
P.4 Compositions and Inverses
Chapter P Highlights
Chapter P Review Exercises
Chapter P Test
1. Angles and the Trigonometric Functions
1.1 Angles and Degree Measure
1.2 Radian Measure, Arc Length, and Area
1.3 Angular and Linear Velocity
1.4 The Trigonometric Functions
1.5 Right Triangle Trigonometry
1.6 The Fundamental Identity and Reference Angles
Chapter 1 Highlights
Chapter 1 Review Exercises
Chapter 1 Test
2. Graphs of the Trigonometric Functions
2.1 The Unit Circle and Graphing
2.2 The General Sine Wave
2.3 Graphs of the Secant and Cosecant Functions
2.4 Graphs of the Tangent and Cotangent Functions
2.5 Combining Functions
Chapter 2 Highlights
Chapter 2 Review Exercises
Chapter 2 Test
Tying it all Together
3. Trigonometric Identities
3.1 Basic Identities
3.2 Verifying Identities
3.3 Sum and Difference Identities for Cosine
3.4 Sum and Difference Identities for Sine and Tangent
3.5 Double-Angle and Half-Angle Identities
3.6 Product and Sum Identities
Chapter 3 Highlights
Chapter 3 Review Exercises
Chapter 3 Test
Tying it all Together
4. Solving Conditional Trigonometric Equations
4.1 The Inverse Trigonometric Functions
4.2 Basic Sine, Cosine, and Tangent Equations
4.3 Multiple-Angle Equations
4.4 Trigonometric Equations of Quadratic Type
Chapter 4 Highlights
Chapter 4 Review Exercises
Chapter 4 Test
Tying it all Together
5. Applications of Trigonometry
5.1 The Law of Sines
5.2 The Law of Cosines
5.3 Area of a Triangle
5.4 Vectors
5.5 Applications of Vectors
Chapter 5 Highlights
Chapter 5 Review Exercises
Chapter 5 Test
Tying it all Together
6. Complex Numbers, Polar Coordinates, and Parametric Equations
6.1 Complex Numbers
6.2 Trigonometric Form of Complex Numbers
6.3 Powers and Roots of Complex Numbers
6.4 Polar Equations
6.5 Parametric Equations
Chapter 6 Highlights
Chapter 6 Review Exercises
Chapter 6 Test
Tying it all Together
Appendix A: Solutions to Try This Exercise
Answers to All Exercises
