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Analytic Trigonometry with Applications, 10th Edition

ISBN: 9780470280768 | 047028076X
Edition: 10th
Format: Hardcover
Publisher: WILEY
Pub. Date: 11/1/2008

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SummaryTable of Contents
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 c... MORE
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 Function... MORE
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.

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