Trigonometry - 1st Edition - ISBN: 9780124847859, 9781483218762


1st Edition

Authors: Charles P. McKeague
eBook ISBN: 9781483218762
Imprint: Academic Press
Published Date: 1st January 1984
Page Count: 474
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Trigonometry focuses on the principles, operations, formulas, and functions involved in trigonometry.

The publication first takes a look at the six trigonometric functions, right triangle trigonometry, and radian measure. Discussions focus on radiance and degrees, unit circle and even and odd functions, length of arc and area of a sector, trigonometric functions of an acute angle, solving right triangles, rectangular coordinate system, and angles, degrees, and special triangles. The manuscript then examines graphing and inverse functions, identities and formulas, and equations. Topics include solving trigonometric equations, parametric equations and further graphing, sum and difference formulas, half-angle formulas, additional identities, phase shift, amplitude and period, graphing combinations of functions, and inverse trigonometric functions. The text ponders on complex numbers and polar coordinates, triangles, and equations, including the law of sines and cosines, products and quotients in trigonometric form, roots of a complex number, and polar coordinates.

The book is a dependable reference for students and readers interested in trigonometry.

Table of Contents

1 The Six Trigonometric Functions I

1.1 Angles, Degrees, and Special Triangles

1.2 The Rectangular Coordinate System

1.3 Definition 1: Trigonometric Functions

1.4 Introduction to Identities

1.5 More Identities

Summary and Review


2 Right Triangle Trigonometry

2.1 Trigonometric Functions of an Acute Angle

2.2 Tables and Calculators for Trigonometric Functions of an Acute Angle

2.3 Solving Right Triangles

2.4 Applications

2.5 Vectors

Summary and Review


3 Radian Measure

3.1 Reference Angle

3.2 Radians and Degrees

3.3 The Unit Circle and Even and Odd Functions

3.4 Length of Arc and Area of a Sector

3.5 Velocities

Summary and Review


4 Graphing and Inverse Functions

4.1 Basic Graphs

4.2 Amplitude and Period

4.3 Phase Shift

4.4 Graphing Combinations of Functions

4.5 Inverse Trigonometric Relations

4.6 Inverse Trigonometric Functions

Summary and Review


5 Identities and Formulas

5.1 Proving Identities

5.2 Sum and Difference Formulas

5.3 Double-Angle Formulas

5.4 Half-Angle Formulas

5.5 Additional Identities

Summary and Review


6 Equations

6.1 Solving Trigonometric Equations

6.2 More on Trigonometric Equations

6.3 Trigonometric Equations Involving Multiple Angles

6.4 Parametric Equations and Further Graphing

Summary and Review


7 Triangles

7.1 The Law of Sines

7.2 The Ambiguous Case


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© Academic Press 1984
Academic Press
eBook ISBN:

About the Author

Charles P. McKeague

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