# Schaum's Outline of Trigonometry, Fifth Edition

by: Robert E. Moyer,, The late Frank Ayres, Jr., Ph.D.,

**Abstract:**More than 40 million students have trusted Schaum's to help them succeed in the classroom and on exams. Schaum's is the key to faster learning and higher grades in every subject. Each Outline presents all the essential course information in an easy-to-follow, topic-by-topic format. You also get hundreds of examples, solved problems, and practice exercises to test your skills. This Schaum's Outline gives you: 618 fully solved problems to reinforce knowledge; concise explanations of all trigonometry concepts; and updates that reflect the latest course scope and sequences, with coverage of periodic functions and curve graphing.

Full details

## Table of Contents

**A.**Preface**1.**Angles and Applications**2.**Trigonometric Functions of a General Angle**3.**Trigonometric Functions of an Acute Angle**4.**Solution of Right Triangles**5.**Practical Applications**6.**Reduction to Functions of Positive Acute Angles**7.**Variations and Graphs of the Trigonometric Functions**8.**Basic Relationships and Identities**9.**Trigonometric Functions of Two Angles**10.**Sum, Difference, and Product Formulas**11.**Oblique Triangles**12.**Area of a Triangle**13.**Inverses of Trigonometric Functions**14.**Trigonometric Equations**15.**Complex Numbers**A.**Geometry**B.**Tables

## Tools & Media

## Expanded Table of Contents

**A.**Preface**1.**Angles and Applications**2.**Trigonometric Functions of a General Angle- Coordinates on a Line
- Coordinates in a Plane
- Angles in Standard Position
- Trigonometric Functions of a General Angle
- Quadrant Signs of the Functions
- Trigonometric Functions of Quadrantal Angles
- Undefined Trigonometric Functions
- Coordinates of Points on a Unit Circle
- Circular Functions
- SOLVED PROBLEMS
- SUPPLEMENTARY PROBLEMS

**3.**Trigonometric Functions of an Acute Angle- Trigonometric Functions of an Acute Angle
- Trigonometric Functions of Complementary Angles
- Trigonometric Functions of 30°, 45°, and 60°
- Trigonometric Function Values
- Accuracy of Results Using Approximations
- Selecting the Function in Problem Solving
- Angles of Depression and Elevation
- SOLVED PROBLEMS
- SUPPLEMENTARY PROBLEMS

**4.**Solution of Right Triangles- Introduction
- Four-Place Tables of Trigonometric Functions
- Tables of Values for Trigonometric Functions
- Using Tables to Find an Angle Given a Function Value
- Calculator Values of Trigonometric Functions
- Find an Angle Given a Function Value Using a Calculator
- Accuracy in Computed Results
- SOLVED PROBLEMS
- Supplementary Problems

**5.**Practical Applications**6.**Reduction to Functions of Positive Acute Angles**7.**Variations and Graphs of the Trigonometric Functions**8.**Basic Relationships and Identities**9.**Trigonometric Functions of Two Angles**10.**Sum, Difference, and Product Formulas**11.**Oblique Triangles**12.**Area of a Triangle**13.**Inverses of Trigonometric Functions**14.**Trigonometric Equations**15.**Complex Numbers- Imaginary Numbers
- Complex Numbers
- Algebraic Operations
- Graphic Representation of Complex Numbers
- Graphic Representation of Addition and Subtraction
- Polar or Trigonometric Form of Complex Numbers
- Multiplication and Division in Polar Form
- De Moivre's Theorem
- Roots of Complex Numbers
- SOLVED PROBLEMS
- SUPPLEMENTARY PROBLEMS

**A.**Geometry**B.**Tables

**Book Details**

**Title: **Schaum's Outline of Trigonometry, Fifth Edition

**Publisher: **McGraw-Hill: New York, Chicago, San Francisco, Lisbon, London, Madrid, Mexico City, Milan, New Delhi, San Juan, Seoul, Singapore, Sydney, Toronto

**Copyright / Pub. Date: **2013 The McGraw-Hill Companies, Inc.

**ISBN: **9780071795357

**Authors:****Robert E. Moyer,** taught mathematics at Southwest Minnesota State University. He received his Doctor of Philosophy in Mathematics Education from the University of Illinois in 1974. From Southern Illinois University he received his Master of Science in 1967 and his Bachelor of Science in 1964, both in Mathematics Education.**The late Frank Ayres, Jr., Ph.D.,** was formerly a professor in and head of the Department of Mathematics at Dickinson College, Carlisle, Pennsylvania. He is the author or coauthor of eight Schaum's Outlines, including Calculus, Trigonometry, Differential Equations, and Modern Abstract Algebra.

**Description: **
More than 40 million students have trusted Schaum's to help them succeed in the classroom and on exams. Schaum's is the key to faster learning and higher grades in every subject. Each Outline presents all the essential course information in an easy-to-follow, topic-by-topic format. You also get hundreds of examples, solved problems, and practice exercises to test your skills. This Schaum's Outline gives you: 618 fully solved problems to reinforce knowledge; concise explanations of all trigonometry concepts; and updates that reflect the latest course scope and sequences, with coverage of periodic functions and curve graphing.