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Trigonometry

ISBN: 9780030965623 | 0030965624
Edition: 3rd
Format: Paperback
Publisher: Brooks Cole
Pub. Date: 1/2/1994

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Table of Contents
The Six Trigonometric Functions
1(49)
Angles, Degrees, and Special Triangles
2(12)
... MORE
The Rectangular Coordinate System
14(11)
Definition I: Trigonometric Functions
25(7)
Introduction to Identities
32(9)
More on Identities
41(9)
Summary
46(2)
Test
48(2)
Right Triangle Trigonometry
50(60)
Definition II: Right Triangle Trigonometry
50(10)
Calculators and Trigonometric Functions of an Acute Angle
60(7)
Solving Right Triangles
67(11)
Applications
78(14)
Vectors: A Geometric Approach
92(18)
Summary
104(3)
Test
107(3)
Radian Measure
110(49)
Reference Angle
110(8)
Radians and Degrees
118(10)
Definition III: Circular Functions
128(8)
Arc Length and Area of a Sector
136(9)
Velocities
145(14)
Summary
154(2)
Test
156(3)
Graphing and Inverse Functions
159(74)
Basic Graphs
159(13)
Amplitude and Period
172(17)
Phase Shift
189(13)
Finding an Equation from its Graph
202(11)
Graphing Combinations of Functions
213(4)
Inverse Trigonometric Functions
217(16)
Summary
228(3)
Test
231(2)
Identities and Formulas
233(42)
Proving Identities
233(8)
Sum and Difference Formulas
241(10)
Double-Angle Formulas
251(7)
Half-Angle Formulas
258(17)
Additional Identities
264(7)
Summary
271(2)
Test
273(2)
Equations
275(30)
Solving Trigonometric Equations
275(8)
More on Trigonometric Equations
283(5)
Trigonometric Equations Involving Multiple Angles
288(6)
Parametric Equations and Further Graphing
294(11)
Summary
302(2)
Test
304(1)
Triangles
305(49)
The Law of Sines
305(13)
The Ambiguous Case
318(6)
The Law of Cosines
324(7)
The Area of a Triangle
331(6)
Vectors: An Algebraic Approach
337(17)
Summary
349(3)
Test
352(2)
Complex Numbers and Polar Coordinates
354(1)
Complex Numbers
354(8)
Trigonometric Form for Complex Numbers
362(6)
Products and Quotients in Trigonometric Form
368(6)
Roots of a Complex Number
374(7)
Polar Coordinates
381(9)
Equations in Polar Coordinates and Their Graphs
390(9)
Summary
399(4)
Test
403
Appendix: LogarithmsA-1
A.1 Logarithms Are Exponents
A-1
A.2 Properties of Logarithms
A-7
A.3 Common Logarithms and Natural Logarithms
A-10
A.4 Exponential Equations and Change of Base
A-16
Answers to Old-Numbered Exercises and Chapter TestsA-23
IndexI-1

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