Thomas W. Hungerford received his M.S. and Ph.D. from the University of Chicago. He has taught at the University of Washington and at Cleveland State University, and is now at St. Louis University. His research fields are algebra and mathematics education. He is the author of many notable books for undergraduate and graduate level courses. In addition to ABSTRACT ALGEBRA: AN INTRODUCTION, these include: ALGEBRA (Springer, Graduate Texts in Mathematics, #73. 1974); MATHEMATICS WITH APPLICATIONS, Tenth Edition (Pearson, 2011; with M. Lial and J. Holcomb); and CONTEMPORARY PRECALCULUS, Fifth Edition (Cengage, 2009; with D. Shaw).
Contemporary Trigonometry: A Graphing Approach (with CD-ROM and iLrn? Tutorial) / Edition 1by Thomas W. Hungerford
CONTEMPORARY TRIGONOMETRY completes Thomas Hungerford's renowned series of precalculus texts. His texts are well respected for their thorough integration of the graphing calculator, clear writing, and outstanding applications problems. Many adopters praise his use of real data in examples and exercises, and they appreciate the flexibility of his books' organization… See more details below
CONTEMPORARY TRIGONOMETRY completes Thomas Hungerford's renowned series of precalculus texts. His texts are well respected for their thorough integration of the graphing calculator, clear writing, and outstanding applications problems. Many adopters praise his use of real data in examples and exercises, and they appreciate the flexibility of his books' organization. This new text is accompanied by an outstanding array of innovative supplements that facilitate teaching and enhance learning, such as iLrna robust suite of online course management, testing, and tutorial resources for instructor and student, with vMentor live online tutoring. The text also includes the free Interactive Video Skillbuilder CD-ROM with MathCue, and a Book Companion Web Site featuring online graphing calculator resources.
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Table of Contents
0. PRELIMINARIES. The real number system and equations. The coordinate plane. Graphs, technology, and equation solving. Functions. Graphs of functions. Graphs and transformations Chapter 0 Review. Discovery Project 0. 1. TRIANGLE TRIGONOMETRY. Trigonometric functions of acute angles. Trigonometric functions of angles. Applications of right triangle trigonometry. Law of Cosines. Law of Sines Chapter 1 Review. Discovery Project 1. 2. TRIGONOMETRIC FUNCTIONS. Angles and radian measure. Special Topics: Arc length and angular speed. The sine, cosine, and tangent functions. The sine, cosine, and tangent functions. Algebra and identities. Basic graphs. Periodic graphs and simple harmonic motion. Special Topics: Other trigonometric graphs. Other trigonometric functions. Chapter 2 Review. Discovery Project 2. 3. TRIGONOMETRIC IDENTITIES AND EQUATIONS. Basic identities and proofs. Addition and subtraction identities. Special Topics: Lines and Angles. Other Identities. Inverse Trigonometric Functions. Trigonometric Equations. Special Topics: Other solution methods for trigonometric equations. Chapter 3 Review. Discovery Project 3. 4. APPLICATIONS OF TRIGONOMETRY. Complex numbers. The complex plane and polar form for complex numbers. DeMoivre's Theorem and the nth roots of complex numbers. Vectors in the plane. The dot product. Chapter 4 Review. Discovery Project 4. 5. ANALYTIC GEOMETRY AND TRIGONOMETRY. Circles and ellipses. Hyperbolas. Parabolas. Rotations and second-degree equations. Special Topics: Rotation of axes. Plane curves and parametric equations. Polar coordinates. Polar equations of conics. Chapter 5 Review. Discovery Project 5. 6. EXPONENTIAL AND LOGARITHMIC FUNCTIONS. Exponential functions. Applications of exponential functions. Common and natural logarithmic functions. Properties of logarithms. Special Topics: Logarithms to other bases. Solving exponential and logarithmic equations algebraically. Chapter 6 Review. Discovery Project 6. Appendix. Geometry Review.
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