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Choose the book written for the way you teach with McKeague/Turner's best-selling TRIGONOMETRY, Sixth Edition. This trusted edition presents contemporary concepts in short, manageable sections using the most current, detailed examples and high-interest applications. Captivating illustrations of trigonometry concepts in action, such as Lance Armstrong’s cycling success, the Ferris wheel, and even the human cannonball, as well as unique Historical Vignettes help motivate and keep students’ interest throughout your course. TRIGONOMETRY, Sixth Edition, continues to use a standard right-angle approach to trigonometry with an unmatched emphasis on study skills that prepares students for future success in advanced courses, such as calculus. The book’s proven blend of exercises, fresh applications, and projects is now combined with a simplified approach to graphing and the convenience of new Enhanced WebAssign--a leading, time-saving online homework tool for instructors and students that’s correlated with your Instructor’s Edition for cohesive support. Innovative tools like the new CengageNOW online course management system complete this market-leading TRIGONOMETRY, Sixth Edition, package to ensure you have everything you need for a course that holds your students’ interest and clarifies even the most advanced topics for your students’ trigonometry success.
- A simplified, step-by-step approach to graphing introduces the sine and cosine functions first in this edition to make graphing as accessible as possible for your students. A step-by-step framing approach simplifies the graphing process throughout the completely rewritten Chapter 4. Nearly half of the chapter’s problems are new or modified.
- Captivating themes throughout the text highlight trigonometry concepts in action with illustrations such as the human cannonball, cycling, the Ferris wheel, sports, navigation systems, and cable cars. These intriguing themes, clearly marked with icons in the examples and problem sets, help students correlate one lesson with another throughout the course.
- Enhanced WebAssign offers you time-saving assistance with the most widely used homework system in higher education. Used by more than one million students at 1,000 institutions, Enhanced WebAssign allows you to assign, collect, grade, and record homework assignments through the web. This proven homework system is enhanced to include links to textbook sections, video examples, and problem-specific tutorials that clarify learning for your students.
- Additional unique Historical Vignettes in this edition intrigue students by providing background on the ways in which many of the central ideas in trigonometry originated.
- Numerous new, interesting application problems added to the book’s proven problem sets help motivate students and stimulate their interest in trigonometry as they see how the concepts they’ve learned apply to everyday life.
- New examples and exercises in the first three chapters provide a deeper understanding of the domain and range of trigonometric functions, right triangle trigonometry, and circular functions.
- Appendix A provides a complete review of functions and inverse functions. Section 7.5 on vectors is now separated into two sections for student clarity, with the dot product covered separately in Section 7.6. The shorthand notation, r cis 8, is included in Chapter 8, giving you greater flexibility in presentation while exposing your students to important notation they will use in later study.
- Group Projects at the end of each chapter involve interesting problems or applications that relate to or extend the ideas introduced within the chapter. projects emphasize how mathematics connect with other disciplines or illustrate real-life situations that use the principles of trigonometry. You can use projects with small student groups or assign them to individual students who need additional challenges.
- Research Projects at the end of each chapter require students to investigate an historical topic or person that is connected to the chapter’s material. These projects promote an appreciation for the rich history behind trigonometry.
- Special Getting Ready for Class sections, located before each problem set, help students thoroughly prepare for your upcoming class with exercises that require students to read the preceding section and write responses.
- Review problems within every problem set after Chapter 1 keep important topics in front of students and make reviewing part of their daily activities.
- Optional Graphing Calculator Exercises, clearly marked with a special icon, offer you the flexibility of including or omitting this coverage in your course, without interrupting the flow of concept presentation.
1.1 Angles, Degrees, and Special Triangles. 1.2 The Rectangular Coordinate System. 1.3 Definition I: Trigonometric Functions. 1.4 Introduction to Identities. 1.5 More on Identities.
2. RIGHT ANGLE TRIGONOMETRY.
2.1 Definition II: Right Triangle Trigonometry. 2.2 Calculators and Trigonometric Functions of an Acute Angle. 2.3 Solving Right Triangles. 2.4 Applications. 2.5 Vectors: A Geometric Approach.
3. RADIAN MEASURE.
3.1 Reference Angle. 3.2 Radians and Degrees. 3.3 Definition III: Circular Functions. 3.4 Arc Length and Area of a Sector. 3.5 Velocities.
4. GRAPHING AND INVERSE FUNCTIONS.
4.1 Basic Graphs. 4.2 Amplitude, Reflection, and Period. 4.3 Vertical Translation and Phase Shift. 4.4 The Other Trigonometric Functions. 4.5 Finding an Equation From its Graph. 4.6 Graphing Combinations of Functions. 4.7 Inverse Trigonometric Functions.
5. IDENTITIES AND FORMULAS.
5.1 Proving Identities. 5.2 Sum and Difference Formulas. 5.3 Double-Angle Formulas. 5.4 Half-Angle Formulas. 5.5 Additional Identities.
6.1 Solving Trigonometric Equations. 6.2 More on Trigonometric Equations. 6.3 Trigonometric Equations Involving Multiple Angles. 6.4 Parametric Equations and Further Graphing.
7.1 The Law of Sines. 7.2 The Ambiguous Case. 7.3 The Law of Cosines. 7.4 The Area of a Triangle. 7.5 Vectors: An Algebraic Approach. 7.6 Vectors: The Dot Product.
8. COMPLEX NUMBERS AND POLAR COORDINATES.
8.1 Complex Numbers. 8.2 Trigonometric Form for Complex Numbers. 8.3 Products and Quotients in Trigonometric Form. 8.4 Roots of a Complex Number. 8.5 Polar Coordinates. 8.6 Equations in Polar Coordinates and Their Graphs.
Appendix A: REVIEW OF FUNCTIONS.
A.1 Introduction to Functions. A.2 The Inverse of a Function.
Appendix B: EXPONENTIAL AND LOGARITHMIC FUNCTIONS.
B.1 Exponential Functions. B.2 Logarithms Are Exponents. B.3 Properties of Logarithms. B.4 Common Logarithms and Natural Logarithms. B.5 Exponential Equations and Change of Base.