Analytic Trigonometry with Application / Edition 10

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Overview

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.

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Product Details

  • ISBN-13: 9780470280768
  • Publisher: Wiley
  • Publication date: 11/17/2008
  • Edition description: Older Edition
  • Edition number: 10
  • Pages: 624
  • Product dimensions: 8.20 (w) x 10.10 (h) x 1.10 (d)

Table of Contents

1. Right Triangle Rations.

1.1 Angles, Degrees, and Arcs.

1.2 Similar Triangles.

1.3 Trigonometric Ratios and Right Triangles.

1.4 Right Triangle Applications.

Chapter 1 Group Activity: A Logistics Problem.

Chapter 1 Review.

2. Trigonometric Functions.

2.1 Degrees and Radians.

2.2 Linear and Angular Velocity.

2.3 Trigonometric Functions: Unit Circle Approach.

2.4 Additional Applications.

2.5 Exact Values and Properties of Trigonometric Functions.

Chapter 2 Group Activity: Speed of Light in Water.

Chapter 2 Review.

3. Graphing Trigonometric Functions.

3.1 Basic Graphs.

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

3.4 Additional Applications.

3.5 Graphing Combined Forms.

3.6 Tangent, Cotangent, Secant, and Cosecant Functions Revisited.

Chapter 3 Group Activity: Predator-Prey Analysis Involving Coyotes and Rabbits.

Chapter 3 Review.

Cumulative Review Exercise, Chapters 1-3.

4. Identities.

4.1 Fundamental Identities and Their Use.

4.2 Verifying Trigonometric Identities.

4.3 Sum, Difference, and Cofunction Identities.

4.4 Double-Angle and Half-Angle Identities.

4.5 Product-Sum and Sum-Product Identities.

Chapter 4 Group Activity: From M sin Bt+N cos Bt to A sin(Bt+C).

Chapter 4 Review.

5. Inverse Trigonometric Functions; Trigonometric Equations and Inequalities.

5.1 Inverse Sine, Cosine, and Tangent Functions.

5.2 Inverse Cotangent, Secant, and Cosecant Functions.

5.3 Trigonometric Equations: An Algebraic Approach.

5.4 Trigonometric Equations and Inequalities: A Graphing Calculator Approach.

Chapter 5 Group Activity: sin 1/x=0 and Sin-1 1/x=0.

Chapter 5 Review.

Cumulative Review Exercise, Chapters 1-5.

6. Additional Topics: Triangles and Vectors.

6.1 Law of Sines.

6.2 Law of Cosines.

6.3 Areas of Triangles.

6.4 Vectors: Geometrically Defined.

6.5 Vectors: Algebraically Defined.

6.6 The Dot Product.

Chapter 6 Group Activity: The SSA Case and the Law of Cosines.

Chapter 6 Review.

7. Polar Coordinates; Complex Numbers.

7.1 Polar and Rectangular Coordinates.

7.2 Sketching Polar Equations.

7.3 The Complex Plane.

7.4 De Moivre's Theorem and the nth-Root Theorem.

Chapter 7 Group Activity: Orbits of Planets.

Chapter 7 Review.

Cumulative Review Exercises, Chapters 1-7.

Appendix A Comments on Numbers.

A.1 Real Numbers.

A.2 Complex Numbers.

A.3 Significant Digits.

Appendix B Functions and Inverse Functions.

B.1 Functions.

B.2 Graphs and Transformations.

B.3 Inverse Functions.

Appendix C Plane Geometry: Some Useful Facts.

C.1 Lines and Angles,

C.2 Triangles,

C.3 Quadrilaterals.

C.4 Circles.

Selected Answers.

Index.

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