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Over the years, the text has been shaped and adapted to meet the changing needs of both students and educators. As always, special care was taken to respond to the specific suggestions of users and reviewers through enhanced discussions, new and updated examples and exercises, helpful features, and an extensive package of supplements and study aids. The result is an easy-to-use, comprehensive text that is the best edition yet.
Marge Lial has always been interested in math; it was her favorite subject in the first grade! Marge's intense desire to educate both her students and herself has inspired the writing of numerous best-selling textbooks. Marge, who received Bachelor's and Master's degrees from California State University at Sacramento, is now affiliated with American River College. Marge is an avid reader and traveler. Her travel experiences often find their way into her books as applications, exercise sets, and feature sets. She is particularly interested in archeology. Trips to various digs and ruin sites have produced some fascinating problems for her textbooks involving such topics as the building of Mayan pyramids and the acoustics of ancient ball courts in the Yucatan.
When John Hornsby enrolled as an undergraduate at Louisiana State University, he was uncertain whether he wanted to study mathematics education or journalism. His ultimate decision was to become a teacher, but after twenty-five years of teaching at the high school and university levels and fifteen years of writing mathematics textbooks, both of his goals have been realized. His love for both teaching and for mathematics is evident in his passion for working with students and fellow teachers as well. His specific professional interests are recreational mathematics, mathematics history, and incorporating graphing calculators into the curriculum. John's personal life is busy as he devotes time to his family (wife Gwen, and sons Chris, Jack, and Josh). He has been a rabid baseball fan all of his life. John's other hobbies include numismatics (the study of coins) and record collecting. He loves the music of the 1960s and has an extensive collection of the recorded works of Frankie Valli and the Four Seasons.
David Schneider has taught mathematics at universities for over 34 years and has authored 36 books. He has an undergraduate degree in mathematics from Oberlin College and a PhD in mathematics from MIT. During most of his professional career, he was on the faculty of the University of Maryland--College Park. His hobbies include travel, dancing, bicycling, and hiking.
Table of Contents
The Trigonometric Functions
Angle Relationships and Similar Triangles
Using the Definitions of the Trigonometric Functions
Acute Angles and Right Triangles
Trigonometric Functions of Acute Angles
Trigonometric Functions of Non-Acute Angles
Finding Trigonometric Function Values Using a Calculator
Solving Right Triangles
Further Applications of Right Triangles
Radian Measure and the Circular Functions
Applications of Radian Measure
The Unit Circle and Circular Functions
Linear and Angular Speed
Graphs of the Circular Functions
Graphs of the Sine and Cosine Functions
Translations of the Graphs of the Sine and Cosine Functions
Graphs of the Tangent and Cotangent Functions
Graphs of the Secant and Cosecant Functions
Verifying Trigonometric Identities
Sum and Difference Identities for Cosine
Sum and Difference Identities for Sine and Tangent
Inverse Circular Functions and Trigonometric Equations