Trigonometry, 12th edition

  • Margaret L. Lial, 
  • John Hornsby, 
  • David I. Schneider, 
  • Callie Daniels

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Trigonometry helps you develop the balance of conceptual understanding and analytical skills needed to succeed in mathematics.

Published by Pearson (July 1st 2020) - Copyright © 2021

ISBN-13: 9780136881117

Subject: Precalculus, College Algebra & Trigonometry

Category: Plane Trigonometry

Table of contents

Table of Contents

  • Preface
  • Resources for Success
  1. 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
  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
  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
  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
  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
  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
  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
  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
  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

Answers to Selected Exercises

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