The mainstream of algebra and trigonometry

Front Cover
Houghton Mifflin, Jan 1, 1980 - Mathematics - 506 pages
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Contents

Real Numbers and Algebraic Expressions
2
Coordinate Lines and Absolute Values
12
Integral Exponents
18
Radicals
24
Rational Exponents and Scientific Notation
29
Polynomials and Algebraic Expressions
36
Factoring Polynomials
42
Rational Expressions
47
The Law of Cosines
290
The Law of Sines
295
Review
304
Trigonometric Identities Equations and Inverse Functions Vectors
307
Trigonometric Identities
308
More Trigonometric Identities
312
Trigonometric Equations
316
The Addition Formulas for the Cosine
319

Review
53
Equations and Inequalities in One Variable
58
Applications to Word Problems
64
Quadratic Equations
74
More Equations
82
Linear Inequalities
87
Quadratic and Other Inequalities
94
Equations and Inequalities Involving Absolute Values
98
Review
101
Functions and Graphs
106
Graphs of Equations
112
Functions
121
Graphs of Functions
127
Lines and Linear Functions
135
Composite and Inverse Functions
144
Variation
152
Review
156
Systematic Graphing
162
Polynomial Functions
171
Rational Functions
175
Conic Sections
185
Review
196
Exponential and Logarithmic Functions
200
Logarithmic Functions
209
Common and Natural Logarithms
219
Exponential and Logarithmic Equations
226
Linear Interpolation
231
Review
234
The Trigonometric Functions
238
Applications
249
Angles
257
The Trigonometric Functions
265
Graphs of the Trigonometric Functions
277
Periodic Functions
282
The Addition Formulas for the Sine and Tangent
326
The MultipleAngle Formulas
330
Product to Sum Sum to Product Formulas
336
The Inverse Trigonometric Functions
340
Vectors
347
Force and Velocity Applications
352
Review
357
Systems of Equations and Inequalities
362
More Systems of Equations in Two Variables
370
Systems of Linear Equations in Three or More Variables
373
Matrices
378
Determinants and Cramers Rule
382
Systems of Inequalities and Linear Programming
388
Review
397
Complex Numbers
402
Geometric Representation of Complex Numbers
409
Polar Form for Complex Numbers
411
De Moivres Theorem
415
Review
418
Polynomials
422
A Computation Method for Polynomials
423
The Remainder Theorem
426
Synthetic Division
432
Polynomials with Real Coefficients
436
Rational Zeros of Polynomials
438
Review
442
Induction Sequences and the Binomial Theorem
446
Summation Notation
451
Sequences
455
The Binomial Theorem
460
Review
469
Table A Squares and Square Roots 1200
471
Index
501
Copyright

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