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CITATION

Moyer, Robert E. and Ayres, Frank. Schaum's Outline of Trigonometry, Sixth Edition. New York: McGraw-Hill Education, 2017.

Schaum's Outline of Trigonometry, Sixth Edition

Authors: Robert E. Moyer and Frank Ayres

Published:  November 2017 Pages: 216

eISBN: 9781260011494 | ISBN: 9781260011487
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  • Cover
  • Title Page
  • Copyright Page
  • Preface
  • Contents
  • Chapter 1 Angles and Applications
  • 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
  • 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 Angle
  • 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
  • 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
  • 4.1 Introduction
  • 4.2 Four-Place Tables of Trigonometric Functions
  • 4.3 Tables of Values of 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
  • 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
  • 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
  • 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
  • 8.1 Basic Relationships
  • 8.2 Simplification of Trigonometric Expressions
  • 8.3 Trigonometric Identities
  • Chapter 9 Trigonometric Functions of Two Angles
  • 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
  • 10.1 Products of Sines and Cosines
  • 10.2 Sum and Difference of Sines and Cosines
  • Chapter 11 Oblique Triangles
  • 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
  • 12.1 Area of a Triangle
  • 12.2 Area Formulas
  • Chapter 13 Inverses of Trigonometric Functions
  • 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
  • 14.1 Trigonometric Equations
  • 14.2 Solving Trigonometric Equations
  • Chapter 15 Complex Numbers
  • 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
  • A1.1 Introduction
  • A1.2 Angles
  • A1.3 Lines
  • A1.4 Triangles
  • A1.5 Polygons
  • A1.6 Circles
  • Appendix 2 Tables
  • 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