Knowledge

Outline of trigonometry

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31: 323: 347:– the angle is the figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle. Angles formed by two rays lie in a plane, but this plane does not have to be a Euclidean plane. 1549: 341:– mathematics concerned with questions of shape, size, the relative position of figures, and the properties of space. Geometry is used extensively in trigonometry. 1480: 865: 175: 1071: 331: 1573: 969: 1475: 1094: 870: 860: 171: 1695: 1716: 1670: 1402: 463: 181: 1690: 1685: 1618: 1680: 1665: 1233: 273: 1650: 1645: 1660: 1655: 1191: 478: 1638: 1563: 1675: 1731: 1248: 1243: 767: 1544: 1485: 1211: 1139: 95: 1397: 498: 1392: 1228: 1186: 1147: 875: 855: 73: 1532: 1490: 1312: 1109: 733: 1611: 1412: 488: 1627: 1369: 635: 458: 452: 69: 1512: 1463: 1253: 937: 885: 266: 217: 166: 100: 1576:
by Alfred Monroe Kenyon and Louis Ingold, The Macmillan Company, 1914. In images, full text presented.
1457: 1317: 1307: 952: 373: 79: 1604: 1407: 1118: 921: 752: 483: 425: 368: 307: 57: 45: 1423: 1435: 1290: 1218: 1207: 1155: 1104: 947: 880: 757: 590: 570: 1726: 1337: 1322: 1302: 1264: 1181: 1053: 738: 259: 1386: 1084: 957: 913: 828: 509: 395: 310:, which describe those relationships and have applicability to cyclical phenomena, such as 186: 105: 50: 8: 1517: 1507: 1089: 762: 728: 667: 232: 148: 1570:, Princeton University Press, 1998. Ebook version, in PDF format, full text presented. 1527: 1342: 1223: 1166: 1099: 932: 640: 378: 30: 1721: 1446: 1441: 1418: 1285: 893: 833: 784: 779: 550: 545: 493: 237: 141: 1364: 1044: 1006: 927: 580: 473: 410: 1327: 1280: 1238: 989: 942: 843: 716: 672: 595: 560: 468: 136: 65: 61: 1590: 1275: 1039: 1016: 823: 801: 704: 682: 287: 247: 242: 131: 1710: 917: 898: 610: 440: 227: 1426:, listing sines at increments of two arcseconds, published in the late 1500s 1270: 1032: 1011: 1001: 811: 796: 615: 605: 555: 520: 363: 294: 126: 22: 1584: 1522: 1059: 1021: 994: 984: 979: 600: 575: 535: 299: 212: 110: 1553: 1354: 1332: 1171: 1066: 838: 650: 645: 435: 420: 405: 390: 222: 202: 1558: 1596: 1579: 1143: 746: 655: 630: 565: 540: 525: 515: 400: 353:– a ratio indicates how many times one number contains another 1567: 1374: 1296: 1176: 1151: 1114: 742: 699: 625: 338: 303: 302:
that studies the relationships between the sides and the angles in
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is provided as an overview of and topical guide to trigonometry:
207: 1377:, an algorithm for computing sines, introduced in the late 1500s 1135: 1049: 1027: 806: 694: 677: 620: 415: 322: 1359: 1160: 974: 350: 344: 1131: 311: 722: 1076: 1481:
List of integrals of inverse trigonometric functions
866:
List of integrals of inverse trigonometric functions
1708: 1297:More advanced trigonometric concepts and methods 1587:index of trigonometry entries on Mathwords.com 1612: 906: 741:– how to find that distance if one knows the 267: 16:Overview of and topical guide to trigonometry 1476:List of integrals of trigonometric functions 861:List of integrals of trigonometric functions 1202: 912:For examples of trigonometric functions as 1619: 1605: 1125: 357: 274: 260: 1430: 1095:Regiomontanus' angle maximization problem 871:Regiomontanus' angle maximization problem 1593:Trigonometry Articles from PlainMath.Net 1348: 1259: 963: 321: 1550:Benjamin Banneker's Trigonometry Puzzle 1403:Bhaskara I's sine approximation formula 1381: 464:Bhaskara I's sine approximation formula 1709: 1626: 723:Geography, geodesy, and land surveying 1600: 1415:, written in the second century A.D. 1234:Lagrange's trigonometric identities 13: 1249:Pythagorean trigonometric identity 1244:Proofs of trigonometric identities 14: 1743: 1717:Outlines of mathematics and logic 1538: 817: 768:Triangulation in three dimensions 1486:List of trigonometric identities 1140:Tangent (trigonometric function) 29: 1696:Technology and applied sciences 1545:An introduction to trigonometry 1393:Generating trigonometric tables 1187:Inverse trigonometric functions 1148:Secant (trigonometric function) 876:Tangent half-angle substitution 856:Inverse trigonometric functions 790: 1: 1671:Natural and physical sciences 1591:Trigonometry on PlainMath.net 1585:Trigonometry on Mathwords.com 1533:Table of mathematical symbols 1491:Table of mathematical symbols 1313:Exact trigonometric constants 1192:Jyā, koti-jyā and utkrama-jyā 1110:Trigonometry of a tetrahedron 773: 479:Jyā, koti-jyā and utkrama-jyā 1452: 1229:Hermite's cotangent identity 710: 688: 7: 1691:Society and social sciences 1686:Religion and belief systems 1496: 1370:Trigonometric interpolation 849: 384: 306:. Trigonometry defines the 10: 1748: 1513:List of exponential topics 1464:All Students Take Calculus 1254:Tangent half-angle formula 938:Exact trigonometric values 907:Other areas of mathematics 886:Trigonometric substitution 661: 450: 446: 167:Trigonometric substitution 1732:Mathematics-related lists 1634: 1458:mnemonics in trigonometry 1413:Ptolemy's table of chords 734:Snellius–Pothenot problem 504: 489:Ptolemy's table of chords 317: 1559:Dave's short trig course 1469: 1318:Generalized trigonometry 1308:Conway triangle notation 1203:Trigonometric identities 953:Trigonometric polynomial 459:Aristarchus's inequality 374:Trigonometric identities 80:Generalized trigonometry 1681:Philosophy and thinking 1126:Trigonometric functions 1119:List of triangle topics 922:Alternating permutation 753:Resection (orientation) 453:History of trigonometry 426:Madhava of Sangamagrama 369:Trigonometric functions 358:Content of trigonometry 326:∠, the angle symbol in 308:trigonometric functions 1564:Trigonometric Delights 1436:Spherical trigonometry 1431:Spherical trigonometry 1398:Āryabhaṭa's sine table 1208:Trigonometric identity 1156:Trigonometric function 1105:Trigonometric function 948:Trigonometric integral 881:Trigonometric integral 591:Mechanical engineering 571:Electrical engineering 499:Āryabhaṭa's sine table 334: 1666:Mathematics and logic 1349:Numerical mathematics 1338:Rational trigonometry 1323:Gudermannian function 1303:Chebyshev polynomials 1265:Solution of triangles 1260:Solution of triangles 1182:Gudermannian function 1054:List of circle topics 964:Geometric foundations 739:Great-circle distance 325: 1651:Geography and places 1646:Culture and the arts 1408:Madhava's sine table 1387:Trigonometric tables 1382:Trigonometric tables 958:Trigonometric series 914:generating functions 510:Uses of trigonometry 484:Madhava's sine table 187:Trigonometric series 1518:Outline of geometry 1508:Hyperbolic function 1291:Mollweide's formula 1219:De Moivre's formula 1090:Pythagorean theorem 1024:(aka Grad, Gradian) 763:Geographic distance 758:Vincenty's formulae 668:Abbe sine condition 149:Pythagorean theorem 1661:History and events 1656:Health and fitness 1628:Knowledge outlines 1528:Spherical geometry 1343:Spread polynomials 641:Probability theory 335: 298:– branch of 1704: 1703: 1639:General reference 1447:Haversine formula 1442:Half-side formula 1419:Rule of marteloio 1286:Law of cotangents 1085:Ptolemy's theorem 894:Fourier transform 829:Gunter's quadrant 785:Rule of marteloio 780:Haversine formula 551:Computer graphics 546:Civil engineering 494:Rule of marteloio 284: 283: 176:inverse functions 119:Laws and theorems 1739: 1621: 1614: 1607: 1598: 1597: 1580:Trigonometry FAQ 1365:Prosthaphaeresis 1079: 1045:Chord (geometry) 1007:Angular distance 928:Dirichlet kernel 729:Hansen's problem 636:Physical science 581:Game development 474:Indian astronomy 411:Claudius Ptolemy 276: 269: 262: 33: 19: 18: 1747: 1746: 1742: 1741: 1740: 1738: 1737: 1736: 1707: 1706: 1705: 1700: 1676:People and self 1630: 1625: 1541: 1499: 1472: 1455: 1433: 1384: 1351: 1328:Lissajous curve 1299: 1281:Law of tangents 1262: 1224:Euler's formula 1205: 1167:Euler's formula 1128: 1100:Thales' theorem 1077: 990:Spherical angle 966: 943:Exponential sum 933:Euler's formula 909: 852: 844:Scale of chords 820: 793: 776: 725: 717:Greninger chart 713: 691: 673:Greninger chart 664: 596:Medical imaging 561:Crystallography 507: 469:Greek astronomy 455: 449: 387: 379:Euler's formula 360: 320: 280: 101:Exact constants 17: 12: 11: 5: 1745: 1735: 1734: 1729: 1724: 1719: 1702: 1701: 1699: 1698: 1693: 1688: 1683: 1678: 1673: 1668: 1663: 1658: 1653: 1648: 1642: 1641: 1635: 1632: 1631: 1624: 1623: 1616: 1609: 1601: 1595: 1594: 1588: 1582: 1577: 1571: 1561: 1556: 1547: 1540: 1539:External links 1537: 1536: 1535: 1530: 1525: 1520: 1515: 1510: 1505: 1498: 1495: 1494: 1493: 1488: 1483: 1478: 1471: 1468: 1467: 1466: 1454: 1451: 1450: 1449: 1444: 1432: 1429: 1428: 1427: 1421: 1416: 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707: 705:Dialing scales 702: 697: 690: 687: 686: 685: 680: 675: 670: 663: 660: 659: 658: 653: 648: 643: 638: 633: 628: 623: 618: 613: 608: 603: 598: 593: 588: 583: 578: 573: 568: 563: 558: 553: 548: 543: 538: 533: 528: 523: 518: 506: 503: 502: 501: 496: 491: 486: 481: 476: 471: 466: 461: 451:Main article: 448: 445: 444: 443: 438: 433: 428: 423: 418: 413: 408: 403: 398: 393: 386: 383: 382: 381: 376: 371: 366: 359: 356: 355: 354: 348: 342: 319: 316: 286:The following 282: 281: 279: 278: 271: 264: 256: 253: 252: 251: 250: 245: 240: 235: 230: 225: 220: 215: 210: 205: 197: 196: 195:Mathematicians 192: 191: 190: 189: 184: 179: 169: 161: 160: 154: 153: 152: 151: 145: 144: 139: 134: 129: 121: 120: 116: 115: 114: 113: 108: 103: 98: 90: 89: 85: 84: 83: 82: 77: 54: 53: 48: 43: 35: 34: 26: 25: 15: 9: 6: 4: 3: 2: 1744: 1733: 1730: 1728: 1725: 1723: 1720: 1718: 1715: 1714: 1712: 1697: 1694: 1692: 1689: 1687: 1684: 1682: 1679: 1677: 1674: 1672: 1669: 1667: 1664: 1662: 1659: 1657: 1654: 1652: 1649: 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639: 637: 634: 632: 629: 627: 624: 622: 619: 617: 614: 612: 611:Number theory 609: 607: 604: 602: 599: 597: 594: 592: 589: 587: 584: 582: 579: 577: 574: 572: 569: 567: 564: 562: 559: 557: 554: 552: 549: 547: 544: 542: 539: 537: 534: 532: 529: 527: 524: 522: 519: 517: 514: 513: 512: 511: 500: 497: 495: 492: 490: 487: 485: 482: 480: 477: 475: 472: 470: 467: 465: 462: 460: 457: 456: 454: 442: 441:Regiomontanus 439: 437: 434: 432: 429: 427: 424: 422: 419: 417: 414: 412: 409: 407: 404: 402: 399: 397: 394: 392: 389: 388: 380: 377: 375: 372: 370: 367: 365: 362: 361: 352: 349: 346: 343: 340: 337: 336: 333: 329: 324: 315: 313: 309: 305: 301: 297: 296: 291: 289: 277: 272: 270: 265: 263: 258: 257: 255: 254: 249: 246: 244: 241: 239: 236: 234: 231: 229: 228:Regiomontanus 226: 224: 221: 219: 216: 214: 211: 209: 206: 204: 201: 200: 199: 198: 194: 193: 188: 185: 183: 180: 177: 173: 170: 168: 165: 164: 163: 162: 159: 156: 155: 150: 147: 146: 143: 140: 138: 135: 133: 130: 128: 125: 124: 123: 122: 118: 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406:Bhaskara I 391:Archimedes 223:al-Battani 203:Hipparchus 142:Cotangents 96:Identities 1453:Mnemonics 1144:Cotangent 747:longitude 711:Chemistry 689:Astronomy 656:Surveying 631:Phonetics 566:Economics 541:Chemistry 526:Astronomy 516:Acoustics 401:Aryabhata 304:triangles 238:de Moivre 172:Integrals 88:Reference 58:Functions 1722:Outlines 1568:Eli Maor 1497:See also 1375:Kunstweg 1177:Exsecant 1152:Cosecant 1115:Triangle 850:Calculus 743:latitude 700:Parallax 626:Pharmacy 385:Scholars 339:Geometry 218:al-Hasib 158:Calculus 137:Tangents 1503:Algebra 1197:Versine 662:Physics 586:Geodesy 531:Biology 447:History 431:Ptolemy 328:Unicode 288:outline 248:Fourier 208:Ptolemy 174: ( 132:Cosines 74:inverse 60: ( 46:History 41:Outline 1154:– see 1136:Cosine 1050:Circle 1028:Radian 920:, see 807:Phasor 695:Equant 678:Phasor 621:Optics 505:Fields 416:Euclid 332:U+2220 318:Basics 106:Tables 1566:, by 1470:Lists 1360:Hypot 1161:atan2 975:Angle 351:Ratio 345:Angle 312:waves 243:Euler 233:Viète 127:Sines 51:Usage 1212:list 1132:Sine 1081:(pi) 745:and 1552:at 916:in 330:is 70:tan 66:cos 62:sin 1713:: 1214:) 1150:, 1146:, 1142:, 1138:, 1134:, 1056:) 314:. 72:, 68:, 64:, 1620:e 1613:t 1606:v 1210:( 1121:) 1078:π 924:. 749:. 275:e 268:t 261:v 178:) 76:)

Index

Trigonometry

Outline
History
Usage
Functions
sin
cos
tan
inverse
Generalized trigonometry
Identities
Exact constants
Tables
Unit circle
Sines
Cosines
Tangents
Cotangents
Pythagorean theorem
Calculus
Trigonometric substitution
Integrals
inverse functions
Derivatives
Trigonometric series
Hipparchus
Ptolemy
Brahmagupta
al-Hasib

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