Trigonometry Enhanced with Graphing Utilities

by Sullivan, Michael; SullivanIII, Michael

• ISBN13: 9780131527263
• ISBN10: 0131527266
• Edition: 4th
• Format: Hardcover
• Copyright: 2006-01-01
• Publisher: Prentice Hall

Summary

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

Graphs

Rectangular Coordinates; Graphing Utilities

Graphs of Equations

Circles

Functions

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

Vectors

The Dot Product

Vectors in Space

The Cross Product Chapter Review Chapter Test Chapter Project Cumulative Review

Analytic Geometry

Conics

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

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

Lines

Scatter Diagrams; Linear Curve Fitting

Table of Contents provided by Publisher. All Rights Reserved.