Trigonometry / Edition 2

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Overview

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.
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Product Details

  • ISBN-13: 9780321356901
  • Publisher: Addison Wesley
  • Publication date: 8/2/2006
  • Series: Dugopolski Series
  • Edition description: REV
  • Edition number: 2
  • Pages: 444
  • Product dimensions: 8.72 (w) x 10.31 (h) x 0.76 (d)

Meet the Author

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.
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Table of Contents

P. Algebraic Prerequisites.
The Cartesian Coordinate System.
Functions.
Families of Functions, Transformations, and Symmetry.
Compositions and Inverses.

1. Angles and the Trigonometric Functions.
Angles and Degree Measure.
Radian Measure, Arc Length, and Area.
Angular and Linear Velocity.
The Trigonometric Functions.
The Fundamental Identity and Reference Angles.
Right Triangle Trigonometry.

2. Graphs of the Trigonometric Functions.
Graphs of the Sine and Cosine Functions.
The General Sine Wave.
Graphs of the Tangent and Cotangent Functions.
Graphs of the Secant and Cosecant Functions.
Combining Functions.

3. Trigonometric Identities.
Basic Identities.
Verifying Identities.
Sum and Difference Identities for Cosine.
Sum and Difference Identities for Sine and Tangent.
Double-Angle and Half-Angle Identities.
Product and Sum Identities.

4. Solving Conditional Trigonometric Equations.
The Inverse Trigonometric Functions.
Basic Sine, Cosine, and Tangent Equations.
Multiple Angle Equations.
Trigonometric Equations of the Quadratic Type.

5. Applications of Trigonometry.
The Law of Sines.
The Law of Cosines.
Area.
Vectors.

6. Complex Numbers, Polar Coordinates, and Parametric Equations.
Complex Numbers.
Trigonometric Form of Complex Numbers.
Powers and Roots of Complex Numbers.
Polar Equations.
Parametric Equations.
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  • Anonymous

    Posted April 10, 2007

    A reviewer

    I took Trigonometry in high school, but when Caculus II came around, I completely forgot my trig identities. So I went on and purchased this book. It's a great mathematical textbook! It can be used by the math whiz kids, and math phobes too! Great compliment to any library.

    Was this review helpful? Yes  No   Report this review
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