Trigonometry 8th Edition
Book Preface
THIS EIGHTH EDITION of Trigonometry preserves the popular format and style of the previous editions. It is a standard right triangle approach to trigonometry, providing a smooth and integrated development of the six trigonometric functions from pointontheterminalside, to right triangle, to circular function deﬁnitions. Nearly every section is written so that it can be discussed in a typical class session.
The focus of the text is on understanding the deﬁnitions and principles of trigonometry and their applications to problem solving. Exact values of the trigonometric functions are emphasized throughout the text. The clean layout and conversational style encourage students to read the text. Historical vignettes are placed throughout the text to give students an appreciation for the rich history behind trigonometry and the people who contributed to its development.
The text covers all the material usually taught in trigonometry. There is also an appendix that provides a review of algebra, geometry, functions, and inverse functions. The appendix sections can be used as a review of topics with which students may already be familiar, or they can be used to provide instruction for students encountering these concepts for the ﬁrst time.
Numerous calculator notes are placed throughout the text to help students calculate values when appropriate. As there are many different models of graphing calculators, and each model has its own set of commands, we have tried to avoid overuse of speciﬁc key icons or command names.
NEW TO THIS EDITION
Content Changes
The following list describes the major content changes you will see in this eighth edition.
PPENDIX: In response to a number of requests, we have added two new appendix sections providing a substantial review of algebra and geometry. The content of these appendix sections focuses on the speciﬁc concepts and skills students will see or need at various points throughout the text.
SECTION 1.1: A proof of the Pythagorean Theorem has been moved out of this section and placed in the appendix.
SECTION 7.5: A general formula for the vector component form of a vector is now given, based on the magnitude of the vector and the angle it makes with the positive xaxi
EW EXAMPLES New examples have been added to every chapter to help students gain a better understanding of certain concepts.
NEW OR REVISED EXERCISES Many of the exercises have been revised, and new exercises and application problems have been added in some sections to help students better grasp key concepts, and to help motivate students and stimulate their interest in trigonometry. The most signiﬁcant additions include the following.
SECTION 4.4: We have added more exercises to this section, giving students the opportunity for additional practice identifying the period, range, and horizontal and vertical translations for the tangent, cotangent, secant, and cosecant functions
SECTION 6.1: We have increased the number of exercises that require approximating solutions and for which the argument of the trigonometric function involves a horizontal translation
SECTION 6.3: There are now exercises containing trigonometric functions with arguments in the form Bx 1 C; we have also increased the number of application problems.
EXTENDING THE CONCEPTS More of these problems have been added throughout the text to give students additional challenges and the opportunity to explore certain topics further
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