Houghton Mifflin Company, Jul 18, 2001 - Trigonometry - 454 pages
The Fourth Edition of College Trigonometry continues to promote student success by engaging students in mathematics, thus helping them see the dynamic link between concepts and applications. The authors' hallmark approach, the Aufmann Interactive Method, encourages students to interact with math by presenting an annotated example, then guiding students with a Try Exercise, and finally presenting a worked-out solution for immediate reinforcement of the concept. A wealth of new features designed to enhance learning include more in-text guidance as well as special web-based resources, and an unparalleled Instructor's Annotated Edition facilitates teaching.New! An Instructor's Annotated Edition, unlike any other offered for this course, features reduced student text pages with special instructor resources in the margins: teaching tips, extra examples, ideas for reinforcing concepts, discussion suggestions, highlighted vocabulary and symbols, challenge problems, quizzes, suggested assignments, and references to transparencies that may be found both in the Instructor's Resource Manual and on the web site.New! Side-by-Side Solutions to examples pair an algebraic solution and a graphical representation to accommodate different learning styles.New! Technology-dependent modeling sections introduce the idea of mathematical modeling of data through linear, quadratic, exponential, logarithmic, and logistic regression.New! Integrated web resources include selected Take Note boxes (identified by a special web icon) which direct students to an interactive example or a downloadable file on the web site. These special resources can be used by instructors for presentation purposes or can beassigned to students to help them 'visualize' a concept.New! Concept Lists now prominently feature all the major topics at the beginning of each section, preparing students for the concepts to follow.A wide range of applications, exercise sets, and supplemental exercises--many involving real data--encourage problem solving, skill building, group work, writing, and manipulation of graphing calculators.Exploring Concepts with Technology, a special end-of-chapter feature, expands on ideas introduced in the text by using technology to investigate extended mathematical applications or topics.Projects at the end of each exercise set are designed to encourage students (or groups of students) to research and write about mathematics and its applications. Additional Projects are included in the Instructor's Resource Manual and on the book's web site.Topics for Discussion, conceptual exercises included at the end of each section, can be used for discussion or writing assignments.Take Note and Math Matters (formerly called Point of Interest) margin notes alert students about interesting aspects of math history, applications, and points that require special attention.
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Functions and Graphs
Graphing Piecewise Functions with
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acute angle amplitude angular speed asymptotes axes axis centimeters complex number cos2 determine difference quotient directrix distance domain dot product ellipse evaluate EXAMPLE Exercise Set Explain exponential foci formula func given graphing calculator graphing utility height Heron's formula horizontal hyperbola inches integer interval inverse function Law of Cosines Law of Sines length logarithmic median-median line meters miles odd function one-to-one function ordered pairs parabola period phase shift plane polar Quadrant radius real numbers reference angle regression equation regression line right triangle Section shown in Figure shows simple harmonic motion sin2 sinx sketch the graph Solution Solve square standard form standard position Supplemental Exercises symmetric with respect take note tan2 tangent terminal side Theorem tion trigonometric functions Try Exercise unit circle utility to graph variable vector velocity vertex vertical Write x-axis y-axis zero