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Summary
Summary
Tough Test Questions? Missed Lectures? Not Enough Time?
Fortunately, there's Schaum's. This all-in-one-package includes more than 600 fully solved problems, examples, and practice exercises to sharpen your problem-solving skills. Plus, you will have access to 20 detailed videos featuring Math instructors who explain how to solve the most commonly tested problems--it's just like having your own virtual tutor! You'll find everything you need to build confidence, skills, and knowledge for the highest score possible.
More than 40 million students have trusted Schaum'sto 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 Updates that reflect the latest course scope andsequences, with coverage of periodic functionsand curve graphing.Fully compatible with your classroom text, Schaum's highlights all the important facts you need to know. Use Schaum's to shorten your study time--and get your best test scores!
Schaum's Outlines--Problem Solved.
Author Notes
Frank Ayres Jr., PhD , was formerly professor and head of the Department of Mathematics at Dickinson College, Carlisle, Pennsylvania. He is the author of eight Schaum's Outlines.
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.
Table of Contents
| Chapter 1 Angles and Applications | p. 1 |
| 1.1 Introduction | |
| 1.2 Plane Angle | |
| 1.3 Measures of Angles | |
| 1.4 Arc Length | |
| 1.5 Lengths of Arcs on a Unit Circle | |
| 1.6 Area of a Sector | |
| 1.7 Linear and Angular Velocity | |
| Chapter 2 Trigonometric Functions of a General Angle | p. 10 |
| 2.1 Coordinates on a Line | |
| 2.2 Coordinates in a Plane | |
| 2.3 Angles in Standard Position | |
| 2.4 Trigonometric Functions of a General Angle | |
| 2.5 Quadrant Signs of the Functions | |
| 2.6 Trigonometric Functions of Quadrantal Angles | |
| 2.7 Undefined Trigonometric Functions | |
| 2.8 Coordinates of Points on a Unit Circle | |
| 2.9 Circular Functions | |
| Chapter 3 Trigonometric Functions of an Acute Angle | p. 26 |
| 3.1 Trigonometric Functions of an Acute Angle | |
| 3.2 Trigonometric Functions of Complementary Angles | |
| 3.3 Trigonometric Functions of 30°, 45°, and 60° | |
| 3.4 Trigonometric Function Values | |
| 3.5 Accuracy of Results Using Approximations | |
| 3.6 Selecting the Function in Problem-Solving | |
| 3.7 Angles of Depression and Elevation | |
| Chapter 4 Solution of Right Triangles | p. 39 |
| 4.1 Introduction | |
| 4.2 Four-Place Tables of Trigonometric Functions | |
| 4.3 Tables of Values for Trigonometric Functions | |
| 4.4 Using Tables to Find an Angle Given a Function Value | |
| 4.5 Calculator Values of Trigonometric Functions | |
| 4.6 Find an Angle Given a Function Value Using a Calculator | |
| 4.7 Accuracy in Computed Results | |
| Chapter 5 Practical Applications | p. 53 |
| 5.1 Bearing | |
| 5.2 Vectors | |
| 5.3 Vector Addition | |
| 5.4 Components of a Vector | |
| 5.5 Air Navigation | |
| 5.6 Inclined Plane | |
| Chapter 6 Reduction to Functions of Positive Acute Angles | p. 66 |
| 6.1 Coterminal Angles | |
| 6.2 Functions of a Negative Angle | |
| 6.3 Reference Angles | |
| 6.4 Angles with a Given Function Value | |
| Chapter 7 Variations and Graphs of the Trigonometric Functions | p. 74 |
| 7.1 Line Representations of Trigonometric Functions | |
| 7.2 Variations of Trigonometric Functions | |
| 7.3 Graphs of Trigonometric Functions | |
| 7.4 Horizontal and Vertical Shifts | |
| 7.5 Periodic Functions | |
| 7.6 Sine Curves | |
| Chapter 8 Basic Relationships and Identities | p. 86 |
| 8.1 Basic Relationships | |
| 8.2 Simplification of Trigonometric Expressions | |
| 8.3 Trigonometric Identities | |
| Chapter 9 Trigonometric Functions of Two Angles | p. 94 |
| 9.1 Addition Formulas | |
| 9.2 Subtraction Formulas | |
| 9.3 Double-Angle Formulas | |
| 9.4 Half-Angle Formulas | |
| Chapter 10 Sum, Difference, and Product Formulas | p. 106 |
| 10.1 Products of Sines and Cosines | |
| 10.2 Sum and Difference of Sines and Cosines | |
| Chapter 11 Oblique Triangles | p. 110 |
| 11.1 Oblique Triangles | |
| 11.2 Law of Sines | |
| 11.3 Law of Cosines | |
| 11.4 Solution of Oblique Triangles | |
| Chapter 12 Area of a Triangle | p. 128 |
| 12.1 Area of a Triangle | |
| 12.2 Area Formulas | |
| Chapter 13 Inverses of Trigonometric Functions | p. 138 |
| 13.1 Inverse Trigonometric Relations | |
| 13.2 Graphs of the Inverse Trigonometric Relations | |
| 13.3 Inverse Trigonometric Functions | |
| 13.4 Principal-Value Range | |
| 13.5 General Values of Inverse Trigonometric Relations | |
| Chapter 14 Trigonometric Equations | p. 147 |
| 14.1 Trigonometric Equations | |
| 14.2 Solving Trigonometric Equations | |
| Chapter 15 Complex Numbers | p. 156 |
| 15.1 Imaginary Numbers | |
| 15.2 Complex Numbers | |
| 15.3 Algebraic Operations | |
| 15.4 Graphic Representation of Complex Numbers | |
| 15.5 Graphic Representation of Addition and Subtraction | |
| 15.6 Polar or Trigonometric Form of Complex Numbers | |
| 15.7 Multiplication and Division in Polar Form | |
| 15.8 De Moivre's Theorem | |
| 15.9 Roots of Complex Numbers | |
| Appendix 1 Geometry | p. 168 |
| A1.1 Introduction | |
| A1.2 Angles | |
| A1.3 Lines | |
| A1.4 Triangles | |
| A1.5 Polygons | |
| A1.6 Circles | |
| Appendix 2 Tables | p. 173 |
| Table 1 Trigonometric Functions-Angle in 10-Minute Intervals | |
| Table 2 Trigonometric Functions-Angle in Tenth of Degree Intervals | |
| Table 3 Trigonometric Functions-Angle in Hundredth of Radian Intervals | |
| Index | p. 199 |
