Trigonometry Enhanced with Graphing Utilities

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  • Edition: 4th
  • Format: Hardcover
  • Copyright: 2006-01-01
  • Publisher: Prentice Hall
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This is the number one, best selling graphing-required version of Mike Sullivan's precalculus series. It is used by thousands of students and hundreds of instructors because, simply, "IT WORKS." "IT WORKS for both instructors and students because Mike Sullivan, after twenty-five years of teaching, knows exactly what students need to do to succeed in a math class and he therefore emphasizes and organizes his text around the fundamentals; preparing, practicing, and reviewing. Students who prepare (read the book, practice their skills learned in previous math classes), practice (work the math focusing on the fundamental and important mathematical concepts), and review (study key concepts and review for quizzes and tests) succeed in class. Instructors appreciate this emphasis as it supports their teaching goals to help their students succeed as well as appreciate the fact that this dependable text retains its best features- - accuracy, precision, depth, strong student support, and abundant exercises, while substantially updating content and pedagogy. After completing the book, students will be prepared to handle the algebra found in subsequent courses such as finite mathematics, business mathematics, and engineering calculus.

Table of Contents

Rectangular Coordinates; Graphing Utilities
Graphs of Equations
The Graph of a Function
Properties of Functions; Library of Functions
Graphing Techniques: Transformations
Composite Functions
One-to-One Functions; Inverse Functions
Trigonometric Functions
Angles and Their Measure
Right Triangle Trigonometry
Computing the Values of Trigonometric Functions of Acute Angles
Trigonometric Functions of General Angles
Properties of the Trigonometric Functions; The Unit Circle Approach
Graphs of the Sine and Cosine Functions
Graphs of the Tangent, Cotangent, Cosecant, and Secant Functions
Phase Shift; Sinusoidal Curve Fitting Chapter Review Chapter Test Chapter Project Cumulative Review
Analytic Trigonometry
The Inverse Sine, Cosine, and Tangent Functions
The Inverse Trigonometric Functions (continued)
Trigonometric Identities
Sum and Difference Formulas
Double-Angle and Half-Angle Formulas
Product-to-Sum and Sum-to-Product Formulas
Trigonometric Equations I
Trigonometric Equations II Chapter Review Chapter Test Chapter Project Cumulative Review
Applications of Trigonometric Functions
Applications Involving Right Triangles
Law of Sines
Law of Cosines
Area of a Triangle
Simple Harmonic Motion; Damped Motion; Combining Waves Chapter Review Chapter Test Chapter Project Cumulative Review
Polar Coordinates; Vectors
Polar Coordinates
Polar Equations and Graphs
The Complex Plane; DeMoivres Theorem
The Dot Product
Vectors in Space
The Cross Product Chapter Review Chapter Test Chapter Project Cumulative Review
Analytic Geometry
The Parabola
The Ellipse
The Hyperbola
Rotation of Axes; General Form of a Conic
Polar Equations of Conics
Plane Curves and Parametric Equations Chapter Review Chapter Test Chapter Project Cumulative Review
Exponential and Logarithmic Functions
Exponential Functions
Logarithmic Functions
Properties of Logarithms
Logarithmic and Exponential Equations
Compound Interest
Exponential Growth and Decay; Newtons Law; Logistic Growth and Decay
Building Exponential, Logarithmic, and Logistic Models from Data Chapter Review Chapter Test Chapter Project Cumulative Review
Algebra Review
Geometry Review
Solving Equations Algebraically
Solving Equations Using a Graphing Utility
Complex Numbers; Quadratic Equations in the Complex Number System
Interval Notation; Solving Inequalities
nth Roots; Rational Exponents
Scatter Diagrams; Linear Curve Fitting
Table of Contents provided by Publisher. All Rights Reserved.

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