Essentials Of Trigonometry

by Smith, Karl J.

• ISBN13: 9780534494230
• ISBN10: 0534494234
• Edition: 4th
• Format: Hardcover
• Copyright: 2005-09-14
• Publisher: Cengage Learning

Summary

Intended for the freshman market, this book is known for its student-friendly approach. It starts with the right angle definition, and applicationsinvolving the solution of right triangles, to help students investigate and understand the trigonometric functions, their graphs, theirrelationships to one another, and ways in which they can be used in a variety of real-world applications. The book is not dependent upon agraphing calculator.

Table of Contents

Right-Triangle Trigonometry	1	(54)
Angles and Degree Measure	2	(9)
Similar Triangles	11	(10)
Trigonometric Ratios	21	(10)
Right-Triangle Applications	31	(9)
Angles and Arc Length	40	(9)
Chapter 1 Summary and Review	49	(6)
Trigonometric Functions	55	(50)
Radian Measure	55	(15)
Trigonometric Functions on a Unit Circle	70	(9)
Fundamental Identities	79	(8)
Trigonometric Functions of Any Angle	87	(11)
Chapter 2 Summary and Review	98	(7)
Graphs of Trigonometric Functions	105	(84)
Graphs of the Standard Trigonometric Functions	106	(16)
General Cosine, Sine, and Tangent Curves	122	(19)
Trigonometric Graphs	141	(16)
Inverse Trigonometric Functions	157	(17)
Chapter 3 Summary and Review	174	(15)
Midterm Review Problems for Chapters 1--3	183	(6)
Trigonometric Equations and Identities	189	(66)
Trigonometric Equations	190	(13)
Trigonometric Identities	203	(11)
Addition Laws	214	(12)
Double-Angle and Half-Angle Identities	226	(11)
Product and Sum Identities	237	(8)
Chapter 4 Summary and Review	245	(10)
Oblique Triangles and Vectors	255	(70)
Law of Cosines	256	(11)
Law of Sines	267	(11)
Areas and Volumes	278	(10)
Vector Triangles	288	(15)
Vector Operations	303	(12)
Chapter 5 Summary and Review	315	(10)
Complex Numbers and Polar-Form Graphing	325	(58)
The Imaginary Unit and Complex Numbers	326	(8)
De Moivre's Theorem	334	(11)
Polar Coordinates	345	(10)
Graphing in Polar Coordinates	355	(15)
Chapter 6 Summary and Review	370	(13)
Midterm Review Problems for Chapters 4--6	379	(4)
APPENDICES	383
A Calculators	383
B Accuracy and Rounding	392
C Review of Algebra	396
D Review of Geometry	410
E Sets of Numbers and Graphs	418
F Functions	434
G Answers	445