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Trigonometry cover

Trigonometry

by Margaret L. Lial, John Hornsby, David I. Schneider

12th Edition

Publisher: Pearson

(0 reviews)
Mathematics

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Book Details

Print ISBN9780135924181
eText ISBN9780135926000
PublisherPearson
Publishing Year2021
Edition12th Edition
LanguageEnglish

Trigonometry, 12th Edition, is a textbook designed for courses in trigonometry. Drawing on the classroom experience of master instructors, the volume uses a systematic approach to present each topic, aiming to engage students actively while developing their conceptual understanding and analytical abilities in mathematics.

Subject coverage centers on three core areas: circular functions and angle relationships, analytical trigonometric identities and equations, and geometric applications involving vectors. The presentation guides students through mathematical definitions and properties to build a clear foundation.

To reinforce learning, review exercises are interspersed throughout chapters and gathered at chapter conclusions. These review materials provide students with consistent opportunities to practice and evaluate their progress.

Table of Contents

  1. Chapter R: Algebra Review

    • • R.1 Basic Concepts from Algebra
    • • R.2 Real Number Operations and Properties
    • • R.3 Exponents, Polynomials, and Factoring
    • • R.4 Rational Expressions
    • • R.5 Radical Expressions
    • • R.6 Equations and Inequalities
    • • R.7 Rectangular Coordinates and Graphs
    • • R.8 Functions
    • • R.9 Graphing Techniques
  2. Chapter 1: Trigonometric Functions

    • • 1-1 Angles
    • • 1-2 Angle Relationships and Similar Triangles
    • • 1-3 Trigonometric Functions
    • • 1-4 Using the Definitions of the Trigonometric Functions
    • • Test Prep
    • • Review Exercises
    • • Test
  3. Chapter 2: Acute Angles and Right Triangles

    • • 2-1 Trigonometric Functions of Acute Angles
    • • 2-2 Trigonometric Functions of Non-Acute Angles
    • • 2-3 Approximations of Trigonometric Function Values
    • • 2-4 Solutions and Applications of Right Triangles
    • • 2-5 Further Applications of Right Triangles
    • • Test Prep
    • • Review Exercises
    • • Test
  4. Chapter 3: Radian Measure and the Unit Circle

    • • 3-1 Radian Measure
    • • 3-2 Applications of Radian Measure
    • • 3-3 The Unit Circle and Circular Functions
    • • 3-4 Linear and Angular Speed
    • • Test Prep
    • • Review Exercises
    • • Test
  5. Chapter 4: Graphs of the Circular Functions

    • • 4-1 Graphs of the Sine and Cosine Functions
    • • 4-2 Translations of the Graphs of Sine and Cosine Functions
    • • 4-3 Graphs of the Tangent and Cotangent Functions
    • • 4-4 Graphs of the Secant and Cosecant Functions
    • • 4-5 Harmonic Motion
    • • Test Prep
    • • Review Exercises
    • • Test
  6. Chapter 5: Trigonometric Identities

    • • 5-1 Fundamental Identities
    • • 5-2 Verifying Trigonometric Identities
    • • 5-3 Sum and Difference Identities for Cosine
    • • 5-4 Sum and Difference Identities for Sine and Tangent
    • • 5-5 Double-Angle Identities
    • • 5-6 Half-Angle Identities
    • • Test Prep
    • • Review Exercises
    • • Test
  7. Chapter 6: Inverse Circular Functions and Trigonometric Equations

    • • 6-1 Inverse Circular Functions
    • • 6-2 Trigonometric Equations I
    • • 6-3 Trigonometric Equations II
    • • 6-4 Equations Involving Inverse Trigonometric Functions
    • • Test Prep
    • • Review Exercises
    • • Test
  8. Chapter 7: Applications of Trigonometry and Vectors

    • • 7-1 Oblique Triangles and the Law of Sines
    • • 7-2 The Ambiguous Case of the Law of Sines
    • • 7-3 The Law of Cosines
    • • 7-4 Geometrically Defined Vectors and Applications
    • • 7-5 Algebraically Defined Vectors and the Dot Product
    • • Test Prep
    • • Review Exercises
    • • Test
  9. Chapter 8: Complex Numbers, Polar Equations, and Parametric Equations

    • • 8-1 Complex Numbers
    • • 8-2 Trigonometric (Polar) Form of Complex Numbers
    • • 8-3 The Product and Quotient Theorems
    • • 8-4 De Moivre's Theorem
    • • 8-5 Polar Equations and Graphs
    • • 8-6 Parametric Equations, Graphs, and Applications
    • • Test Prep
    • • Review Exercises
    • • Test

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