Trigonometry Enhanced with Graphing / Edition 1

Trigonometry Enhanced with Graphing / Edition 1

by Michael Sullivan
     
 

ISBN-10: 0134564014

ISBN-13: 9780134564012

Pub. Date: 01/28/1996

Publisher: Prentice Hall Professional Technical Reference

The Sullivan Enhanced with Graphing Utilities series fully integrates the graphing calculator. These widely adopted books are known for their precise careful presentation of mathematics. This precision permeates the book and is particularly evident in the examples, pedagogy and exercises. This book includes coverage of trigonometric functions and their

Overview

The Sullivan Enhanced with Graphing Utilities series fully integrates the graphing calculator. These widely adopted books are known for their precise careful presentation of mathematics. This precision permeates the book and is particularly evident in the examples, pedagogy and exercises. This book includes coverage of trigonometric functions and their applications, analytic trigonometry, polar coordinates and vectors, and exponential and logarithmic functions. For anyone who needs to brush up on everyday or business-related mathematics.

Product Details

ISBN-13:
9780134564012
Publisher:
Prentice Hall Professional Technical Reference
Publication date:
01/28/1996
Edition description:
Older Edition
Pages:
643
Product dimensions:
8.22(w) x 10.32(h) x 1.20(d)

Table of Contents

(NOTE: Each chapter concludes with Chapter Review.)
1. Functions and Their Graphs.
Rectangular Coordinates; Graphing Utilities. Introduction to Graphing Equations. Symmetry; Graphing Key Equations; Circles. Functions. Properties of Functions; Library of Functions. Graphing Techniques; Transformations. One-to-One Functions; Inverse Functions.

2. Trigonometric Functions.
Angles and Their Measure. Right Triangle Trigonometry. Computing the Values of Trigonometric Functions of Given Angles. Trigonometric Functions of General Angles. Properties of the Trigonometric Functions; Unit Circle Approach. Graphs of the Sine and Cosine Functions. Graphs of the Tangent, Cotangent, Secant, and Cosecant Functions. Phase Shifts; Sinusoidal Curve Fitting. Chapter Projects. Cumulative Review.

3. 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 Projects. Cumulative Review.

4. 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 Projects. Cumulative Review.

5. Polar Coordinates; Vectors.
Polar Coordinates. Polar Equations and Graphs. The Complex Plane; DeMoivre's Theorem. Vectors. The Dot Product. Vectors in Space. The Cross Product. Chapter Projects. Cumulative Review.

6. Analytic Trigonometry.
Conics. The Parabola. The Ellipse. The Hyperbola. Rotation of Axes; General Form of a Conic. Polar Equations of Conics. Plane Curves and Parametric Equations.

7. Exponential and Logarithmic Functions.
Exponential Functions. Logarithmic Functions. Properties of Logarithms. Logarithmic and Exponential Equations. Compound Interest. Growth and Decay. Exponential, Logarithmic, and Logistic Curve Fitting. Chapter Projects. Cumulative Review.

Appendix--Review.
Algebra Review. Geometry Review. Solving Equations. Complex Numbers; Quadratic Equations with a Negative Discriminant. Inequalities. nth Roots; Rational Exponents. Lines. Scatter Diagrams; Linear Curve Fitting.

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