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| McKeague C. P. — Trigonometry |
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| Предметный указатель |
Polar coordinates 417 439
Polar coordinates, equations 424—425 440
Polar coordinates, equations and graphs 427—435
Polar coordinates, polar and rectangular coordinates 420—421 439
Pole 418
Positive angles 3
Powers of i 393 438
Product to sum formulas 290 295
Products and quotients in trigonometric form 404—408 438
Properties of logarithms 482—483
Proving identities 256—258
Ptolemy, Claudius 108 298
Pythagoras 51
Pythagoras, Pythagorean identities 35—36 48 257 294
Pythagoras, Pythagorean Theorem 1 5 6 46 50
Pythagoras, Pythagoreans 1
Pythagorean triple 7
Quadrantal angles 21
Quadrants 14
Quaternions 388
RADIANS 63
Radians, converting from degrees 120 123
Radians, converting to degrees 121 123
Radians, definition 118
Radians, radian measure 118 162
Radians, radians and degrees 117—129 163
RANGE 135 445 447
Ranges of circular functions 135 163
Ratio identities 34—35 48 257 294
Real axis 399
Real part of complex numbers 391 437
Reciprocal identities 33—34 48 257 294
Rectangular and polar coordinates 420—421 439
Rectangular coordinate system 14
Reference angles 110 162
Reference angles, theorem 111
Reflections on x-axis 186—187
Related angles 110
Relation 447
Relativity, Einstein's general theory 62
Resultant vectors 94
Richter scale 474
Right angles 1 3
Right triangle trigonometry 53—54
right triangles 1 3 4
Roots of complex numbers 410—412 439
Rounding off 72
Russell, Bertrand 255
scalar 93 105
Scalar multiplication 371—372
Scalene triangles 4
Secant 212—215
Secant graphs 178—179
seconds 61—62 104
Sectors, area 143—144 164
Semiperimeter of triangles 366
Shakespeare, William 51
Sheaves 109
Sides, accuracy 71 105
Significant digits 71 105
simple harmonic motion 195
Sine 55
Sine and cosine functions, graphing 204
Sine graphs 170—173
Sines, law of ambiguous case 348—349 383
Sines, law of two angles and one side 340
Sky Wheel 166
Smith, D.E. 1
Solving triangles 70—72 338
Special angles 57 104
Special triangles 5 46
Spiral of Roots 1
Standard form and trigonometric form, converting between 400—401
Standard position, angles 20—21 47
Standard position, vectors 96 369
Static equilibrium 98
Straight angles 3
| Subtraction and addition, algebraic vectors 370—371
Subtraction and addition, complex numbers 392
Subtraction and addition, vectors 94 106
Sum and difference formulas 267—269 271 294
Sum to product formulas 291 295
Sundials 70
Sunspot cycle 253—254
Supplementary angles 3—4
Symmetry property of inverses 456
Tangent and cotangent 208—212
Tangent and cotangent functions, graphing 212
Tangent graphs 175—176
Terminal side of angles 3
Theory of relativity 62 369
Thomson, James T. 118
Topographic maps 52
Translations, vertical 198—199
Triangles, 15°-75°-90° 108
Triangles, 30°-60°-90° 7
Triangles, 45°-45°-90° 9
Triangles, acute 4
Triangles, area 364—367 383—384
Triangles, equilateral 4
Triangles, isosceles 4
Triangles, oblique 338
Triangles, obtuse 4
Triangles, right 4
Triangles, scalene 4
Triangles, semiperimeter 366
Triangles, special 5 46
Trigonometric equations 300—305 308—311 332—333
Trigonometric equations, identities 333
Trigonometric equations, involving multiple angles 313—318
Trigonometric form, complex numbers 398—401 438
Trigonometric form, converting to and from standard form 400—401
Trigonometric form, products and quotients 404—408 438
Trigonometric functions 26—27 47—48 104
Trigonometric functions, acute angles 63—64
Trigonometric functions, algebraic signs 29 48
Trigonometric functions, definition 27
Trigonometric functions, inverse functions 237—242
Trigonometric functions, right triangles 54
Trigonometric functions, special angles 57 104
Trigonometry, right triangle 53—54
True course 353 383
Unit circle 19 132—133 170—171
Unit horizontal vector 372
Unit vertical vector 372
Vectors, addition and subtraction 94 106
Vectors, addition and subtraction algebraic vectors 370—371 384
Vectors, algebraic approach 369—375
Vectors, algebraic vectors 373 384
Vectors, component form 369 372
Vectors, dot product 378—381 385
Vectors, equality 94
Vectors, horizontal and vertical components 96 106 369 372—373
Vectors, magnitude 370 384
Vectors, perpendicular 380 385
Vectors, resultant 94
Vectors, scalar multiplication 371—372
Vectors, standard position 96 369
Vectors, unit vectors 372
Vectors, vector quantities 93 105
Vectors, zero vector 94
Velocities, angular velocity 151
Velocities, linear velocity 150
Velocities, relationship 153
Vertex of angle 3
Vertical Line Test 238 447
Vertical translations 198—199 251
Vertical vector components 96 106 369 372—373
Wind speed 353
Witch of Agnesi 336
Wolf, Rudolph 254
Work 100 380—381 385
x-axis reflections 186—187
Zero 173
Zero vector 94
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