Trigonometry

, by McKeague, Charles P.

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ISBN: 9780030247835 | 0030247837
Cover: Hardcover
Copyright: 7/1/1999

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Supplemental Materials

1 The Six Trigonometric Functions

(53)

1.1 Angles, Degrees, and Special Triangles

(13)

1.2 The Rectangular Coordinate System

(14)

1.3 Definition I: Trigonometric Functions

(8)

1.4 Introduction to Identities

(8)

1.5 More on Identities

(5)

Summary

(2)

Test

(2)

2 Right Triangle Trigonometry

(62)

2.1 Definition II: Right Triangle Trigonometry

(10)

2.2 Calculators and Trigonometric Functions of an Acute Angle

(9)

2.3 Solving Right Triangles

(10)

2.4 Applications

(14)

2.5 Vectors: A Geometric Approach

(12)

Summary

110

(3)

Test

113

(3)

3 Radian Measure

116

(52)

3.1 Reference Angle

117

(8)

3.2 Radians and Degrees

125

(10)

3.3 Definition III: Circular Functions

135

(8)

3.4 Arc Length and Area of a Sector

143

(11)

3.5 Velocities

154

(9)

Summary

163

(3)

Test

166

(2)

4 Graphing and Inverse Functions

168

(78)

4.1 Basic Graphs

169

(14)

4.2 Amplitude and Period

183

(18)

4.3 Phase Shift

201

(13)

4.4 Finding an Equation from Its Graph

214

(12)

4.5 Graphing Combinations of Functions

226

(4)

4.6 Inverse Trigonometric Functions

230

(10)

Summary

240

(3)

Test

243

(3)

5 Identities and Formulas

246

(44)

5.1 Proving Identities

247

(9)

5.2 Sum and Difference Formulas

256

(10)

5.3 Double-Angle Formulas

266

(7)

5.4 Half-Angle Formulas

273

(7)

5.5 Additional Identities

280

(6)

Summary

286

(2)

Test

288

(2)

6 Equations

290

(37)

6.1 Solving Trigonometric Equations

291

(7)

6.2 More on Trigonometric Equations

298

(7)

6.3 Trigonometric Equations Involving Multiple Angles

305

(8)

6.4 Parametric Equations and Further Graphing

313

(11)

Summary

324

(1)

Test

325

(2)

7 Triangles

327

(49)

7.1 The Law of Sines

328

(12)

7.2 The Ambiguous Case

340

(6)

7.3 The Law of Cosines

346

(7)

7.4 The Area of a Triangle

353

(6)

7.5 Vectors: An Algebraic Approach

359

(12)

Summary

371

(3)

Test

374

(2)

8 Complex Numbers and Polar Coordinates

376

8.1 Complex Numbers

377

(8)

8.2 Trigonometric Form for Complex Numbers

385

(5)

8.3 Products and Quotients in Trigonometric Form

390

(6)

8.4 Roots of a Complex Number

396

(7)

8.5 Polar Coordinates

403

(9)

8.6 Equations in Polar Coordinates and Their Graphs

412

(9)

Summary

421

(4)

Test

425

Appendix: Exponential and Logarithmic Functions

A-1

A.1 Exponential Functions

A-2

(9)

A.2 Logarithms Are Exponents

A-11

(7)

A.3 Properties of Logarithms

A-18

(3)

A.4 Common Logarithms and Natural Logarithms

A-21

(7)

A.5 Exponential Equations and Change of Base

A-28

(6)

Answers to Odd-Numbered Exercises and Chapter Tests

A-34

Index

I-1

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Trigonometry

Table of Contents

Supplemental Materials