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Trigonometry

ISBN: 9780030247835 | 0030247837
Edition: 4th
Format: Hardcover
Publisher: Thomson Learning
Pub. Date: 7/1/1999

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Table of Contents
1 The Six Trigonometric Functions
1(53)
1.1 Angles, Degrees, and Special Triangles
2(13)
1.2 The Rectangular Coordina... MORE
15(14)
1.3 Definition I: Trigonometric Functions
29(8)
1.4 Introduction to Identities
37(8)
1.5 More on Identities
45(5)
Summary
50(2)
Test
52(2)
2 Right Triangle Trigonometry
54(62)
2.1 Definition II: Right Triangle Trigonometry
55(10)
2.2 Calculators and Trigonometric Functions of an Acute Angle
65(9)
2.3 Solving Right Triangles
74(10)
2.4 Applications
84(14)
2.5 Vectors: A Geometric Approach
98(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 FunctionsA-1
A.1 Exponential FunctionsA-2(9)
A.2 Logarithms Are ExponentsA-11(7)
A.3 Properties of LogarithmsA-18(3)
A.4 Common Logarithms and Natural LogarithmsA-21(7)
A.5 Exponential Equations and Change of BaseA-28(6)
Answers to Odd-Numbered Exercises and Chapter TestsA-34
IndexI-1

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