The emphasis of the textbook is on understanding the definitions and principles of trigonometry and their application to problem solving. Identities are introduced early in Chapter 1. They are reviewed often and are then covered in more detail in Chapter 5. Also, exact values of the trigonometric functions are emphasized throughout the textbook. There are numerous calculator notes placed throughout the text.
Charles P. "Pat" McKeague earned his B.A. in Mathematics from California State University, Northridge, and his M.S. in Mathematics from Brigham Young University. A well-known author and respected educator, he is a full-time writer and a part-time instructor at Cuesta College. He has published twelve textbooks in mathematics covering a range of topics from basic mathematics to trigonometry. An active member of the mathematics community, Professor McKeague is a popular speaker at regional conferences, including the California Mathematics Council for Community Colleges, the American Mathematical Association of Two-Year Colleges, the National Council of Teachers of Mathematics, the Texas Mathematics Association of Two-Year Colleges, the New Mexico Mathematics Association of Two-Year Colleges, and the National Association for Developmental Education. He is a member of the American Mathematics Association for Two-Year Colleges, the Mathematics Association of America, the National Council of Teachers of Mathematics, and the California Mathematics Council for Community Colleges.
Mark D. Turner earned his B.A. in Mathematics from California State University, Fullerton. Professor Turner worked in the aerospace industry for two years with the Systems Modeling and Analysis group at The Aerospace Corporation before completing his graduate work at California Polytechnic State University, where he earned his M.S. in Mathematics and Secondary Teaching Credential. Turner is a full-time instructor at Cuesta College in San Luis Obispo, California. He has been a leading influence in the use of graphing calculator and multimedia technology in the classroom, as well as a leading innovator in instructional website design at his institution. Mark has also created educational materials through his own company, Turner Educational Publishing, including a series of Web-based tutorials on the use of the TI-83 graphing calculator. He is a member of the American Mathematics Association for Two-Year Colleges and the California Mathematics Council for Community Colleges, and is a frequent speaker at annual conferences. Professor Turner has received the CMC3 Award for Teaching Excellence.
1. The Six Trigonometric Functions. Angles, Degrees, and Special Triangles. The Rectangular Coordinate System. Definition I: Trigonometric Functions. Introduction to Identities. More on Identities. Summary. Test. 2. Right Triangle Trigonometry. Definition II: Right Triangle Trigonometry. Calculators and Trigonometric Functions of an Acute Angle. Solving Right Triangles. Applications. Vectors: A Geometric Approach. Summary. Test. 3. Radian Measure. Reference Angle. Radians and Degrees. Definition III: Circular Functions. Arc Length and Area of a Sector. Velocities. Summary. Test. 4. Graphing and Inverse Functions. Basic Graphs. Amplitude and Period. Phase Shift. Finding an Equation from Its Graph. Graphing Combinations of Functions. Inverse Trigonometric Functions. Summary. Test. 5. Identities and Formulas. Proving Identities. Sum and Difference Formulas. Double-Angle Formulas. Half-Angle Formulas. Additional Identities. Summary. Test. 6. Equations. Solving Trigonometric Equations. More on Trigonometric Equations. Trigonometric Equations Involving Multiple Angles. Parametric Equations and Further Graphing. Summary. Test. 7. Triangles. The Law of Sines. The Ambiguous Case. The Law of Cosines. The Area of a Triangle. Vectors: An Algebraic Approach. Summary. Test. 8. Complex Numbers and Polar Coordinates. Complex Numbers. Trigonometric Form for Complex Numbers. Products and Quotients in Trigonometric Form. Roots of a Complex Number. Polar Coordinates. Equations in Polar Coordinates and Their Graphs. Summary. Test. Appendix A: Exponential and Logarithmic Functions. Appendix B: Exponential Functions. Appendix C: Logarithms Are Exponents. Appendix D: Propertiesof Logarithms. Appendix E: Common Logarithms and Natural Logarithms. Appendix F: Exponential Equations and Change of Base. Answers to Odd-Numbered Exercises and Chapter Tests. Index.
I took a Trigonometry course at Harford Community College in the Spring of 2011, and this was the assigned text book. To basically sum up this review, I went into the final exam with a 98% over all average. This text book is well written and easy to understand. I found myself sad when the class ended! Furthermore, I opted to not sell this back to the book store. I keep it on the book shelf in my bedroom, and I occasionally pull it out to prove a few trigonometric identities in my spare time. ^_^
p.s. Yes, I am a nerd; (although, I prefer the term intellectual bad ass, but whatever).
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