
Schaum's Outline of Trigonometry, 5th Edition
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Content
- Cover Page
- SCHAUM'S Outline® Trigonometry With Calculator-Based Solutions 5th Edition
- Copyright Page
- VideosOnline
- 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 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
- 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 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
- 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
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