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Sommario
1. TOPICS FROM ALGEBRA
Real Numbers / Rectangular Coordinate Systems and Graphs / Functions / Graphs of Functions / Inverse Functions / Exponential and Logarithmic Functions / Review Exercises / Discussion Exercises
2. THE TRIGONOMETRIC FUNCTIONS
Angles / The Trigonometric Functions / Graphs of the Trigonometric Functions / Trigonometric Functions of Angles / Values of the Trigonometric Functions / Trigonometric Graphs / Additional Trigonometric Graphs / Applied Problems / Review Exercises / Discussion Exercises
3. ANALYTIC TRIGONOMETRY
Verifying Trigonometric Identities / Trigonometric Equations / The Addition and Subtraction Formulas / Multiple-Angle Formulas / Product-to-Sum and Sum-to-Product Formulas / The Inverse Trigonometric Functions / Review Exercises / Discussion Exercises
4. APPLICATIONS OF TRIGONOMETRY
The Law of Sines / The Law of Cosines / Trigonometric Form for Complex Numbers / De Moivre''''s Theorem and nth Roots of Complex Numbers / Vectors / The Dot Product / Review Exercises / Discussion Exercises
5. EXPONENTIAL AND LOGARITHMIC FUNCTIONS
Exponential Functions / The Natural Exponential Function / Logarithmic Functions / Properties of Logarithms / Exponential and Logarithmic Equations / Review Exercises / Discussion Exercises
6. TOPICS FROM ANALYTIC GEOMETRY
Parabolas / Ellipses / Hyperbolas / Plane Curves and Parametric Equations / Polar Coordinates / Polar Equations of Conics / Chapter 6 Review Exercises / Chapter 6 Discussion Exercises / APPENDIX I: USING A TI-82/83 GRAPHING CALCULATOR / APPENDIX II: COMMON GRAPHS AND THEIR EQUATIONS / APPENDIX III: A SUMMARY OF GRAPH TRANSFORMATIONS / APPENDIX IV: GRAPHS OF TRIGONOMETRIC FUNCTIONS AND THEIR INVERSES / APPENDIX V: COMPLEX NUMBERS / ANSWERS TO SELECTED EXERCISES / INDEX OF APPLICATIONS / INDEX
Info autore
Earl Swokowski authored multiple editions of numerous successful textbooks, including CALCULUS; CALCULUS OF A SINGLE VARIABLE; FUNDAMENTALS OF COLLEGE ALGEBRA; and PRECALCULUS: FUNCTIONS AND GRAPHS, all published by Cengage Learning Brooks/Cole.Jeffery A. Cole has been teaching mathematics and computer science at Anoka-Ramsey Community College since fall 1981. He started working on the Swokowski series of precalculus texts in 1985 as an ancillary author, and has been a co-author since 1991. His contribution to the Swokowski texts also includes joining the revision team of the calculus text in 1989.
Riassunto
Completing the time-proven Swokowski/Cole precalculus series, this book helps students learn, understand, and appreciate trigonometry without compromising mathematical integrity. The book takes a unit-circle first approach to trigonometry and incorporates the use of the graphing calculator. Numerous application problems help motivate students toward success in learning trigonometry.
