Knowledge

Outline of trigonometry

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42: 334: 358:– 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. 1491: 876: 186: 1560: 352:– mathematics concerned with questions of shape, size, the relative position of figures, and the properties of space. Geometry is used extensively in trigonometry. 342: 1486: 1105: 881: 871: 182: 1727: 192: 1413: 474: 1629: 1584: 1244: 284: 1202: 489: 1742: 1259: 1254: 778: 1408: 509: 1496: 1222: 1150: 106: 1403: 1239: 1197: 1158: 886: 866: 84: 744: 1574: 1543: 1501: 1323: 1120: 1622: 1423: 499: 1706: 1701: 1696: 1691: 1686: 1681: 1676: 1671: 1666: 1661: 1656: 1649: 1638: 1380: 646: 469: 1555: 1523: 1474: 1264: 948: 896: 277: 228: 177: 111: 1468: 1328: 1318: 963: 384: 90: 1615: 1434: 1418: 1129: 932: 763: 494: 436: 379: 318: 80: 68: 56: 1446: 1301: 1229: 1218: 1166: 1115: 958: 891: 768: 601: 581: 41: 1737: 1348: 1333: 1313: 1275: 1192: 1064: 749: 270: 1587:
by Alfred Monroe Kenyon and Louis Ingold, The Macmillan Company, 1914. In images, full text presented.
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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:
1388:, an algorithm for computing sines, introduced in the late 1500s 1142: 322: 1611: 1087: 1492:
List of integrals of inverse trigonometric functions
877:
List of integrals of inverse trigonometric functions
1308:More advanced trigonometric concepts and methods 1598:index of trigonometry entries on Mathwords.com 1623: 752:– how to find that distance if one knows the 278: 27:Overview of and topical guide to trigonometry 8: 1487:List of integrals of trigonometric functions 872:List of integrals of trigonometric functions 923:For examples of trigonometric functions as 1630: 1616: 1608: 285: 271: 29: 1106:Regiomontanus' angle maximization problem 882:Regiomontanus' angle maximization problem 1604:Trigonometry Articles from PlainMath.Net 1561:Benjamin Banneker's Trigonometry Puzzle 1414:Bhaskara I's sine approximation formula 475:Bhaskara I's sine approximation formula 205: 167: 129: 98: 32: 734:Geography, geodesy, and land surveying 7: 1426:, written in the second century A.D. 1245:Lagrange's trigonometric identities 1260:Pythagorean trigonometric identity 1255:Proofs of trigonometric identities 25: 1728:Outlines of mathematics and logic 779:Triangulation in three dimensions 18:List of basic trigonometry topics 1497:List of trigonometric identities 1151:Tangent (trigonometric function) 40: 1707:Technology and applied sciences 1556:An introduction to trigonometry 1404:Generating trigonometric tables 1198:Inverse trigonometric functions 1159:Secant (trigonometric function) 887:Tangent half-angle substitution 867:Inverse trigonometric functions 1: 1682:Natural and physical sciences 1602:Trigonometry on PlainMath.net 1596:Trigonometry on Mathwords.com 1544:Table of mathematical symbols 1502:Table of mathematical symbols 1324:Exact trigonometric constants 1203:Jyā, koti-jyā and utkrama-jyā 1121:Trigonometry of a tetrahedron 490:Jyā, koti-jyā and utkrama-jyā 1240:Hermite's cotangent identity 1702:Society and social sciences 1697:Religion and belief systems 1381:Trigonometric interpolation 317:. Trigonometry defines the 1759: 1524:List of exponential topics 1475:All Students Take Calculus 1265:Tangent half-angle formula 949:Exact trigonometric values 918:Other areas of mathematics 897:Trigonometric substitution 461: 178:Trigonometric substitution 1743:Mathematics-related lists 1645: 1469:mnemonics in trigonometry 1424:Ptolemy's table of chords 745:Snellius–Pothenot problem 500:Ptolemy's table of chords 1570:Dave's short trig course 1329:Generalized trigonometry 1319:Conway triangle notation 1214:Trigonometric identities 964:Trigonometric polynomial 470:Aristarchus's inequality 385:Trigonometric identities 91:Generalized trigonometry 1692:Philosophy and thinking 1137:Trigonometric functions 1130:List of triangle topics 933:Alternating permutation 764:Resection (orientation) 464:History of trigonometry 437:Madhava of Sangamagrama 380:Trigonometric functions 369:Content of trigonometry 337:∠, the angle symbol in 319:trigonometric functions 1575:Trigonometric Delights 1447:Spherical trigonometry 1442:Spherical trigonometry 1409:Āryabhaṭa's sine table 1219:Trigonometric identity 1167:Trigonometric function 1116:Trigonometric function 959:Trigonometric integral 892:Trigonometric integral 602:Mechanical engineering 582:Electrical engineering 510:Āryabhaṭa's sine table 345: 1677:Mathematics and logic 1360:Numerical mathematics 1349:Rational trigonometry 1334:Gudermannian function 1314:Chebyshev polynomials 1276:Solution of triangles 1271:Solution of triangles 1193:Gudermannian function 1065:List of circle topics 975:Geometric foundations 750:Great-circle distance 336: 1662:Geography and places 1657:Culture and the arts 1419:Madhava's sine table 1398:Trigonometric tables 1393:Trigonometric tables 969:Trigonometric series 925:generating functions 521:Uses of trigonometry 495:Madhava's sine table 198:Trigonometric series 1529:Outline of geometry 1519:Hyperbolic function 1302:Mollweide's formula 1230:De Moivre's formula 1101:Pythagorean theorem 1035:(aka Grad, Gradian) 774:Geographic distance 769:Vincenty's formulae 679:Abbe sine condition 160:Pythagorean theorem 1672:History and events 1667:Health and fitness 1639:Knowledge outlines 1539:Spherical geometry 1354:Spread polynomials 652:Probability theory 346: 309:– branch of 1715: 1714: 1650:General reference 1458:Haversine formula 1453:Half-side formula 1430:Rule of marteloio 1297:Law of cotangents 1096:Ptolemy's theorem 905:Fourier transform 840:Gunter's quadrant 796:Rule of marteloio 791:Haversine formula 562:Computer graphics 557:Civil engineering 505:Rule of marteloio 295: 294: 187:inverse functions 130:Laws and theorems 16:(Redirected from 1750: 1632: 1625: 1618: 1609: 1591:Trigonometry FAQ 1376:Prosthaphaeresis 1090: 1056:Chord (geometry) 1018:Angular distance 939:Dirichlet kernel 740:Hansen's problem 647:Physical science 592:Game development 485:Indian astronomy 422:Claudius Ptolemy 287: 280: 273: 44: 30: 21: 1758: 1757: 1753: 1752: 1751: 1749: 1748: 1747: 1718: 1717: 1716: 1711: 1687:People and self 1641: 1636: 1552: 1510: 1483: 1466: 1444: 1395: 1362: 1339:Lissajous curve 1310: 1292:Law of tangents 1273: 1235:Euler's formula 1216: 1178:Euler's formula 1139: 1111:Thales' theorem 1088: 1001:Spherical angle 977: 954:Exponential sum 944:Euler's formula 920: 863: 855:Scale of chords 831: 804: 787: 736: 728:Greninger chart 724: 702: 684:Greninger chart 675: 607:Medical imaging 572:Crystallography 518: 480:Greek astronomy 466: 460: 398: 390:Euler's formula 371: 331: 291: 112:Exact constants 28: 23: 22: 15: 12: 11: 5: 1756: 1754: 1746: 1745: 1740: 1735: 1730: 1720: 1719: 1713: 1712: 1710: 1709: 1704: 1699: 1694: 1689: 1684: 1679: 1674: 1669: 1664: 1659: 1653: 1652: 1646: 1643: 1642: 1637: 1635: 1634: 1627: 1620: 1612: 1606: 1605: 1599: 1593: 1588: 1582: 1572: 1567: 1558: 1551: 1550:External links 1548: 1547: 1546: 1541: 1536: 1531: 1526: 1521: 1516: 1509: 1506: 1505: 1504: 1499: 1494: 1489: 1482: 1479: 1478: 1477: 1465: 1462: 1461: 1460: 1455: 1443: 1440: 1439: 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731: 730: 723: 720: 719: 718: 716:Dialing scales 713: 708: 701: 698: 697: 696: 691: 686: 681: 674: 671: 670: 669: 664: 659: 654: 649: 644: 639: 634: 629: 624: 619: 614: 609: 604: 599: 594: 589: 584: 579: 574: 569: 564: 559: 554: 549: 544: 539: 534: 529: 517: 514: 513: 512: 507: 502: 497: 492: 487: 482: 477: 472: 462:Main article: 459: 456: 455: 454: 449: 444: 439: 434: 429: 424: 419: 414: 409: 404: 397: 394: 393: 392: 387: 382: 377: 370: 367: 366: 365: 359: 353: 330: 327: 297:The following 293: 292: 290: 289: 282: 275: 267: 264: 263: 262: 261: 256: 251: 246: 241: 236: 231: 226: 221: 216: 208: 207: 206:Mathematicians 203: 202: 201: 200: 195: 190: 180: 172: 171: 165: 164: 163: 162: 156: 155: 150: 145: 140: 132: 131: 127: 126: 125: 124: 119: 114: 109: 101: 100: 96: 95: 94: 93: 88: 65: 64: 59: 54: 46: 45: 37: 36: 26: 24: 14: 13: 10: 9: 6: 4: 3: 2: 1755: 1744: 1741: 1739: 1736: 1734: 1731: 1729: 1726: 1725: 1723: 1708: 1705: 1703: 1700: 1698: 1695: 1693: 1690: 1688: 1685: 1683: 1680: 1678: 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738: 737: 733: 729: 726: 725: 721: 717: 714: 712: 709: 707: 704: 703: 699: 695: 692: 690: 687: 685: 682: 680: 677: 676: 672: 668: 665: 663: 660: 658: 655: 653: 650: 648: 645: 643: 640: 638: 635: 633: 630: 628: 625: 623: 622:Number theory 620: 618: 615: 613: 610: 608: 605: 603: 600: 598: 595: 593: 590: 588: 585: 583: 580: 578: 575: 573: 570: 568: 565: 563: 560: 558: 555: 553: 550: 548: 545: 543: 540: 538: 535: 533: 530: 528: 525: 524: 523: 522: 515: 511: 508: 506: 503: 501: 498: 496: 493: 491: 488: 486: 483: 481: 478: 476: 473: 471: 468: 467: 465: 457: 453: 452:Regiomontanus 450: 448: 445: 443: 440: 438: 435: 433: 430: 428: 425: 423: 420: 418: 415: 413: 410: 408: 405: 403: 400: 399: 395: 391: 388: 386: 383: 381: 378: 376: 373: 372: 368: 363: 360: 357: 354: 351: 348: 347: 344: 340: 335: 328: 326: 324: 320: 316: 312: 308: 307: 302: 300: 288: 283: 281: 276: 274: 269: 268: 266: 265: 260: 257: 255: 252: 250: 247: 245: 242: 240: 239:Regiomontanus 237: 235: 232: 230: 227: 225: 222: 220: 217: 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error 1344:Polar sine 1183:Cofunction 1128:(also see 1078:Hypotenuse 1063:(also see 850:Protractor 785:Navigation 662:Statistics 657:Seismology 447:Pythagoras 432:Hipparchus 417:Bhaskara I 402:Archimedes 234:al-Battani 214:Hipparchus 153:Cotangents 107:Identities 1464:Mnemonics 1155:Cotangent 758:longitude 722:Chemistry 700:Astronomy 667:Surveying 642:Phonetics 577:Economics 552:Chemistry 537:Astronomy 527:Acoustics 412:Aryabhata 315:triangles 249:de Moivre 183:Integrals 99:Reference 69:Functions 1733:Outlines 1579:Eli Maor 1508:See also 1386:Kunstweg 1188:Exsecant 1163:Cosecant 1126:Triangle 861:Calculus 754:latitude 711:Parallax 637:Pharmacy 396:Scholars 350:Geometry 229:al-Hasib 169:Calculus 148:Tangents 1514:Algebra 1208:Versine 673:Physics 597:Geodesy 542:Biology 458:History 442:Ptolemy 339:Unicode 299:outline 259:Fourier 219:Ptolemy 185: ( 143:Cosines 85:inverse 71: ( 57:History 52:Outline 1165:– see 1147:Cosine 1061:Circle 1039:Radian 931:, see 818:Phasor 706:Equant 689:Phasor 632:Optics 516:Fields 427:Euclid 343:U+2220 329:Basics 117:Tables 1577:, by 1481:Lists 1371:Hypot 1172:atan2 986:Angle 362:Ratio 356:Angle 323:waves 254:Euler 244:Viète 138:Sines 62:Usage 1223:list 1143:Sine 1092:(pi) 756:and 1563:at 927:in 341:is 81:tan 77:cos 73:sin 1724:: 1225:) 1161:, 1157:, 1153:, 1149:, 1145:, 1067:) 325:. 83:, 79:, 75:, 1631:e 1624:t 1617:v 1221:( 1132:) 1089:π 935:. 760:. 286:e 279:t 272:v 189:) 87:) 20:)

Index

List of basic trigonometry topics
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

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