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Index
Cover Page
SCHAUM’S Outline® Trigonometry With Calculator-Based Solutions 5th Edition
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 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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