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McKeague C. P. — Trigonometry
McKeague C. P. — Trigonometry

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Название: Trigonometry

Автор: McKeague C. P.

Аннотация:

The emphasis of the textbook is on understanding the definitions and principles of trigonometry and their application to problem solving. Identities are introduced early in Chapter 1. They are reviewed often and are then covered in more detail in Chapter 5. Also, exact values of the trigonometric functions are emphasized throughout the textbook. There are numerous calculator notes placed throughout the text.


Язык: en

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Издание: 6

Год издания: 2007

Количество страниц: 577

Добавлена в каталог: 23.10.2010

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
15°-75°-90° triangles      108
30°-60°-90° triangles      7
45°-45°-90° triangles      9
Absolute value      399 438
Accuracy of angles      71 105
Accuracy of sides      71 105
Acute angles      3
Acute angles, trigonometric functions      63—64
Acute triangles      4
Addition and subtraction, algebraic vectors      370—371 384
Addition and subtraction, complex numbers      392 437
Addition and subtraction, vectors      94 106
Addition property of equality      300
Agnesi, Maria Gaetana      336
Ailles rectangle      108
Airspeed      353
Algebra-geometry association      14
Algebraic approach to vectors      369—375
Algebraic signs of trigonometric functions      29 48
Algebraic vectors      370—371 373 384
Ambiguous case      348—349 383
Amplitude      172 185—186 249
Amplitude, amplitude and period for sine and cosine      190
Analytic geometry      15
Angle of depression      81 105
Angle of elevation      81 105
angles      45
Angles between vectors      378—379
Angles, accuracy      71 105
Angles, Acute      3
Angles, acute, trigonometric functions      63—64
Angles, Complementary      3
Angles, Coterminal      21 47
Angles, degree measure of angles      3—4 46
Angles, double-angle formulas      275 276 278 295
Angles, half-angle formulas      282 284 295
Angles, initial side      3
Angles, multiple angles and equations      313—318 333
Angles, Negative      3
Angles, Obtuse      3
Angles, Positive      3
Angles, Quadrantal      21
Angles, Reference      110 162
Angles, related      110
Angles, right      1 3
Angles, special      57 104
Angles, standard position      20—21 47
Angles, straight      3
Angles, supplementary      3—4
Angles, terminal side      3
Angles, triangles      see "Triangles"
Angular frequency      195
Angular velocity      151 164
Antilogarithm      470
Apparent diameter      149—150
Approximations of functions      113—114
Arc length      140 163
Arccosine      242
Archimedes      427
Arcsine      242
Arctangent      242
Area of sectors      143—144 164
Area of triangles      383—384
Area of triangles, three sides      366
Area of triangles, two angles and one side      365
Area of triangles, two sides and included angle      364
Arendt, Hannah      337
Argand, Jean Robert      442
Argument of complex numbers      399 438
Aristotle      52
Aryabhata      129
Asymptotes      175 177—178
Basic identities      294
Bearing of a line      84 105
Bloom, Allan      14
Bombelli, Rafael      442
Cable care      109
Calculators and degree mode      63—64
Cardan, Jerome      389 398 442
Cardan, Jerome, Cardan's formula      398
Cardano, Girolamo      see "Cardan Jerome"
Cartesian coordinate system      14
Change of base      494—495
Characteristic      488
circles      18—20 47
Circles, equation      19
Circular functions      129—140 163
Circular functions, definition      131
Circular functions, domains      135 163
Circular functions, geometric representations      136
Circular functions, ranges      135 163
Cofunction theorem      56 104
Cofunctions      55 56
Combinations of functions, graphing      231—237
Common logarithms      487—490
Complement      3
Complementary angles      3
Complex conjugates      394 437
Complex numbers, absolute value      399 438
Complex numbers, addition and subtraction      392 437
Complex numbers, argument      399 438
Complex numbers, complex conjugates      394 437
Complex numbers, definition      390 391 437
Complex numbers, equality      392 437
Complex numbers, graphing      398 438
Complex numbers, imaginary part      391 437
Complex numbers, imaginary unit      390
Complex numbers, modulus      399
Complex numbers, multiplication and division      393 404—408 437
Complex numbers, powers of i      393 438
Complex numbers, roots      410—412 439
Complex numbers, trigonometric form      398—401 438
Component form of vectors      369 372
Compound interest      468 471 499
Conditional equations      300
Continuously compounded interest      469
Contour lines      52
Conversion factors      154
Cosecant      212—215
Cosecant graphs      177—178
Cosine      55
Cosine and sine functions, graphing      204
Cosine graphs      173—175
Cosines, Law of      356 383
Cosines, law of derivation      357
Cosines, law of three sides      358—359
Cosines, law of two sides and included angle      357—358
Cotangent and tangent      208—212
Cotangent and tangent functions, graphing      212
Cotangent graphs      178—179
Coterminal angles      21 47
Cotes, Roger      118
Cycloid      334—335
De Moivre, Abraham      405 442
de Moivre, Abraham, de Moivre's theorem      405 439
Decibel      482
Decimal degrees      62 105
Degree measure of angles      3—4 46
Degree mode and calculators      63—64
DEGREES      3 61—62 104
Degrees, converting from radians      121 123
Degrees, converting to radians      120 123
Degrees, radians and degrees      117—129 163
Dependent variable      448
Descartes, Rene      14
Descartes, Rene, Cartesian coordinate system      14
Devlin, Keith      169
Difference and sum formulas      267—269 271 294
Direction      84 105
Distance formula      17—18 46
Domain      135 445 446 447
Domains of circular functions      135 163
Dot product      378—381 385
Double-angle formulas      275 276 278 295
Doubling time      494
Einstein, Albert      369
Einstein, Albert, theory of relativity      62 369
Eliminating the parameter      324
Equality for complex numbers      392 437
Equality for vectors      94
Equations, circles      19
Equations, conditional      300
Equations, from graphs      218—221
Equations, multiple angles      313—318 333
Equations, parametric      322 333
Equations, polar coordinates      424—425 440
Equations, trigonometric      300—305 308—311 332—333
Equilateral triangles      4
Equivalent forms, Pythagorean identities      36
Equivalent forms, reciprocal identities      34
Euler, Leonhard      442
Even functions      180—182 250
Exponential equations      495 498
Exponential form      475
Ferris wheel      70—71
Ferris, George W.G.      70
Foot-pound      100
force      98
Fourier series      234
frequency      196
Function(s)      237
Function(s), even and odd      180—182
Function(s), exponential      464—465
Function(s), inverse      237 238 288 459 463
Function(s), inverse trigonometric      237—242
Function(s), logarithmic      474 476—477
Function(s), notation      448—449
Function(s), one-to-one      238 458
Function(s), trigonometric      26—27 29 54 56 63—64 131 208—209
Galileo      109
Geometric representations of circular functions      136
Geometry-algebra association      14
Golden ratio      14
Graphing, combinations of functions      231—237
Graphing, complex numbers      398 438
Graphing, inverse      457—458
Graphing, lines      15—16
Graphing, parabolas      16—17
Graphing, sine and cosine functions      204
Graphing, tangent and cotangent functions      212
Graphs, cosecant      177—178
Graphs, cosine      173—175
Graphs, cotangent      178—179
Graphs, equations from graphs      218—221
Graphs, equations in polar coordinates      427—435
Graphs, secant      178—179
Graphs, sine      170—173
Graphs, tangent      175—176
Graphs, trigonometric functions      179
Grassmann, Hermann      369
Gravity Probe B      62
Great circle      124
Ground speed      353
Half-angle formulas      282 284 295
Hallidie, Andrew Smith      109
Hamilton, Sir William Rowan      93 369 388
Heading      352 383
Heron of Alexandria      366
Heron's formula      366
Hertz      196
Hipparchus      108 129
Horizontal vector components      96 106 369 372—373
Hypotenuse      5
Identities, basic      294
Identities, involving inverse functions      288—289
Identities, proving      256—258 294
Identities, Pythagorean      35—36 48 257 294
Identities, ratio      34—35 48 257 294
Identities, reciprocal      33—34 48 257 294
Identities, trigonometric equations      333
Imaginary axis      399
Imaginary number      391
Imaginary part of complex numbers      391 437
Imaginary unit      390
Independent variable      448
Initial side of angles      3
Inverse function notation      238 459
Inverse of a relation      455
Inverse trigonometric functions      242 251
Inverse trigonometric functions, cosine      240—241
Inverse trigonometric functions, definitions      237
Inverse trigonometric functions, identities and formulas      288—289
Inverse trigonometric functions, Notation      238
Inverse trigonometric functions, sine      239—240
Inverse trigonometric functions, tangent function      241
Isosceles triangles      4
Law of Cosines      356 383
Law of cosines, derivation      357
Law of cosines, three sides      358—359
Law of cosines, two sides and included angle      357—358
Law of Sines      338—339 383
Law of sines, ambiguous case      348—349 383
Law of sines, two angles and one side      340
Legs of right triangle      5
Lichtenberg, Georg C.      299
Linear velocity      150 164
Lines of sight      82
Lines, graphing      15—16
Logarithmic form      475
Logarithms      474—475
Logarithms, change of base      494—495
Logarithms, common      487—488
Logarithms, identities      477
Logarithms, natural      487—488
Logarithms, properties of      482—483
Magnitude of vectors      370 384
Mantissa      488
McClure, William      153
Melville, Herman      335
Minutes      61—62 104
Modulus      399
Multiple angles and equations      313—318 333
Multiplication and division with complex numbers      393 437
Multiplication property of equality      300
Natural logarithm      490—491
Navigation      124 352—353 383
Negative angles      3
Oblique triangles      338
Obtuse angles      3
Obtuse triangles      4
Odd functions      180—182 250
One-to-one function      238 458
Parabolas, graphing      16—17
Parameters      322
Parameters, eliminating      324
Parametric equations      322 329 333
Pascal, Blaise      14
Period      172 187—188
Period, amplitude and period for sine and cosine      190
Period, period and phase shift for sine and cosine      203
Period, period and phase shift for tangent and cotangent      212
Periodic functions      249
Perpendicular vectors      380 385
pH formula      486
Phase shift      200—202 250
Phase shift, period and phase shift for sine and cosine      203
Phase shift, period and phase shift for tangent and cotangent      212
Plane curves      322
Poincare, Henri      389
Polar axis      418
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