Analytic Trigonometry with Applications, 10th Edition

by Raymond A. Barnett (Merritt College); Michael R. Ziegler (Marquette University); Karl E. Byleen (Marquette University); Dave Sobecki (Miami University Hamilton)

• ISBN13: 9780470280768
• ISBN10: 047028076X
• Edition: 10th
• Format: Hardcover
• Copyright: 2008-11-01
• Publisher: WILEY

Summary

Learning trigonometry concepts can be a difficult and frustrating process. The tenth edition of this successful book helps readers gain a strong understanding of these concepts by discovering how trigonometry is relevant in their lives through rich applications. It follows a right triangle-first approach and is graphing optional. Readers will find new and updated applications as well as additional exercises and solutions. Greater emphasis is also placed on relevant applications more than other books in the field. All of this will help readers comprehend and retain the material.

Table of Contents

Right Triangle Rations.

Angles, Degrees, and Arcs

Similar Triangles

Trigonometric Ratios and Right Triangles

Right Triangle Applications

Group Activity: A Logistics Problem

Review

Trigonometric Functions.

Degrees and Radians

Linear and Angular Velocity

Trigonometric Functions: Unit Circle Approach

Additional Applications

Exact Values and Properties of Trigonometric Functions

Group Activity: Speed of Light in Water

Review

Graphing Trigonometric Functions.

Basic Graphs

Graphing y=k+A sin Bx and y=K+A cos(Bx+C

Additional Applications

Graphing Combined Forms

Tangent, Cotangent, Secant, and Cosecant Functions Revisited

Group Activity: Predator-Prey Analysis Involving Coyotes and Rabbits

Review

Cumulative Review Exercise, Chapters 1-3

Identities.

Fundamental Identities and Their Use

Verifying Trigonometric Identities

Sum, Difference, and Cofunction Identities

Double-Angle and Half-Angle Identities

Product-Sum and Sum-Product Identities

Group Activity: From M sin Bt+N cos Bt to A sin(Bt+C

Review

Inverse Trigonometric Functions; Trigonometric Equations and Inequalities.

Inverse Sine, Cosine, and Tangent Functions

Inverse Cotangent, Secant, and Cosecant Functions

Trigonometric Equations: An Algebraic Approach

Trigonometric Equations and Inequalities: A Graphing Calculator Approach

Group Activity: sin 1/x=0 and Sin-1 1/x=0

Review

Cumulative Review Exercise, Chapters 1-5

Additional Topics: Triangles and Vectors.

Law of Sines

Law of Cosines

Areas of Triangles

Vectors: Geometrically Defined

Vectors: Algebraically Defined

The Dot Product

Group Activity: The SSA Case and the Law of Cosines

Review

Polar Coordinates; Complex Numbers.

Polar and Rectangular Coordinates

Sketching Polar Equations

The Complex Plane

De Moivre's Theorem and the nth-Root Theorem

Group Activity: Orbits of Planets

Review

Cumulative Review Exercises, Chapters 1-7

Comments on Numbers.

Real Numbers

Complex Numbers

Significant Digits

Functions and Inverse Functions.

Functions

Graphs and Transformations

Inverse Functions

Plane Geometry: Some Useful Facts.

Lines and Angles,

Triangles,

Quadrilaterals

Circles

Selected Answers

Index

Table of Contents provided by Publisher. All Rights Reserved.