Last edition Elsevier Dugopolski’s Trigonometry, Third Edition gives students the essential strategies to help them develop the comprehension and confidence they need to be successful in this course. Students 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 students will benefit from Dugopolski’s emphasis on problem solving and critical thinking, which is enhanced by the addition of nearly 1,000 exercises in this edition.
Last Edition
ISBN 13: 9781292027746
Imprint: Pearson Education
Language: English
Authors: Mark Dugopolski
Pub Date: 11/2013
Pages: 412
Illus: Illustrated
Weight: 860.000 grams
Size: h 216 x 274 mm
Product Type: Softcover
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| grn 2513 |
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- • Strategies for success. Learning aids are strategically placed throughout the text giving students guidance right when they need it.
- • Chapter Openers discuss real-world situations that use mathematics from that chapter. Examples and exercises then relate back to the opening scenarios.
- • Try This exercises after every example give students the opportunity to immediately try a problem that is just like the example and to check their work. Solutions are contained in the appendix of the student edition.
- • Summaries of important concepts are included to help students clarify ideas that have multiple parts.
- • Strategies contain general guidelines for accomplishing tasks, and are useful for sharpening students’ problem-solving skills.
- • Procedures are similar to Strategies, but are more specific and more algorithmic, designed to give students a step-by-step approach for problems.
- • Function Galleries show families of functions and their graphs, helping students link the visual aspects with the mathematical properties. These occurring throughout the text as appropriate, and are also gathered together at the beginning of the text for easy reference.
- • Hints suggest ways of approaching a problem and give a starting point to solve the application problem. These are given for approximately five application problems in every exercise set.
- • Graphing calculator discussions throughout the text support and enhance algebraic conclusions, but are not used to arrive at those conclusions. These are optional and may be skipped, although students who do not use a graphing calculator may still benefit from the graphs and technology discussions
- Mark Dugopolski
- 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 Appendix B: More Thinking Outside the Box Answers to All Exercises
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