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Talk:Unit circle

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this year i am taking a trig class (because it's a requirement and because it looks good on your resume). we are learning about the unit circle. the π/6, π/3, etc etc confuses me so much. when i ask for help of course whoever is helping me asks what part do you not understand. THE WHOLE DARN THING! just do the problem for me so i can figure out the next one! so with that said, if anyone would be so kind as to explain the unit circle to me in words i would understand (just pretend you're explaining it to a 10 year old, which i'm not, but chances are i wil understand what you are saying, mathematically). thank you so much. i hope this ramble also answered the above question, "why doesn't anyone like math?" i wish i did. life would be a lot easier. i'm just more of a languages person
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Encyclopedias are not pure reference books, they are conveyors of information. The choice of language used and the pacing of the concepts could use some untangling. This is of course a problem with many of the maths related articles in Knowledge, but it becomes frustrating when consistently each article viewed has the same language/style problems. One simply ends up going elsewhere to find out what a unit circle is for and how it works.
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complex plane, but the definition remains the same in either setting. The three functions you mention do not define different unit circles, they are only used to express the coordinates of the points on the unit circle in different ways. If you actually found sources for your point of view, you should probably throw them away as being useless.--
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i don't like math because the concepts are confusing. i don't enjoy math because if you don't understand one small detail, then your entire answer is off, or you don't know where to begin in solving the problem itself. math leads to frustration in my experience. it has always been my worst subject.
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Hi, I'd like to help people like me and myself in the future, who fall in this trap and confuse between UC in the complex plane, UC of sinus and UC of cosinus. I want to add a pic of 3 circles instead of the main image that will illustrate the differences. And plus I think there is a room to add the
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Perhaps I did not make myself clear enough. The images you posted are wrong! You have given cartesian coordinates of some points on various curves, but in no case do these points lie on a circle (unit or otherwise). At the very least, these diagrams are misleading and would do considerable harm to
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While you did initiate a discussion of this on the appropriate talk page, the lack of responses should have told you something. Your serious confusion of basic concepts made it hard for editors to react in a meaningful way. One could distinguish between unit circles in the Euclidean plane and the
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is 1 (one unit). Now look what you did. You reverted my work, deleted twice something that someone else did. You are not aware of this material and apparently you need these schemes more than the students to whom I uploaded it because you publicly call yourself Mathematician on Wiki pages. And
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This article is another truly terrible maths article within Knowledge. Maths -isn't- hard if it is explained properly. The information in this article may be technically correct but if the knowledge cannot be conveyed clearly and simply to the audience then it is failing the encyclopedia.
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I can't see that the new image is better than the one that was there. It's lower quality, uses confusing notation, some of which is just plain wrong. The lead image should simply have one unit circle with some appropriate decorations, not 4 with incorrect use of ordered pairs.
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In the representation of the triginometric functions in the unit circle, it would be useful to add that the values of the tangent of an angle theta are also represented by the vertical tangent to the unit circle and the values of the co-tangent by the horizontal tangent.
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This article needs to be a reference. It is deeply related to how and why the unit circle works. The first section "Forms of unit circle points" even gives the formula without linking to it or explaining what it is.
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The protocol on Knowledge talk pages is to add new material to the bottom of the page (this is not common in the rest of the web). I have taken the liberty of moving your comment here, I hope you don't mind.
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I saw you commented there is no link to resource. So first of all, I added a discussion prior to making the changes. Why undo someone's work and not leaving a comment asking for proper sources if that's the
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sammary image I've added. Many people fail exams because of lack of such sammary on Google searches. It's a very common topic in many school tests and academic courses.
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What is the image at the bottom of the page for? I don't think a discussion of a circle of radius 1 versus a circle of diameter 1 has any place on this page.
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anyone using them to study for an exam. If your intent was to use them as a mnemonic device, they seem to me to be too cluttered to serve that purpose.--
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Geometers notation S: really? I don't think I have ever seen this - which is not to say it isn't used, but is it common enough to warrant inclusion?
756: 195:, individual points on the unit circle are labeled first with its coordinates (exact values), with the angle in degree angular measure, then with 117: 325: 387: 243: 718: 782: 696: 410: 246:
instead (in fact, I think it was asked there some time ago, maybe you should try looking in the archives for some useful responses). --
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The image I added might help people learn for their exams more efficiently. Where can add to be findable and in appropriate context?
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Actually I am preventing thousands of students from getting false information that will not help them on any exams.--
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The following Wikimedia Commons file used on this page or its Wikidata item has been nominated for deletion:
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said. The new image is much worse than the old, and it makes a simple thing needlessly complicated.
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on Knowledge. If you would like to participate, please visit the project page, where you can join
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There are many people who like math. However, this isn't the right place for this question - try
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finally you prevented thousands of pupil not less smarter than you to prepare for the exam.
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for fixing the typo, the animation of thumbnails of large resolution GIFs is broken See:
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A Commons file used on this page or its Wikidata item has been nominated for deletion
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The image Circle-trig6.svg doesn't even come close to printing out correctly for me.
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i really like what we're doing in calculus, but everybody hates math...why is that?
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Secondly, you want me to add the sources in order to undo the undo?
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oh I see, you're saying that sin(2pi) has nothing to do with the
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1 unit, oftenly used to define the functions of trigonometry.
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Distinguishing between Unit Circles of e^jt, cos(t) and sin(t)
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yes it does. it completely relates to the unit circle.
112:, a collaborative effort to improve the coverage of 611:@Bill Cherowitzo: not sure if I know how to tag 203:have both positive and negative angles marked. 803:Knowledge level-5 vital articles in Mathematics 755:Participate in the deletion discussion at the 509:Below is the response copied from my talk page 176:This was a duplicate page, at "Unit Circle": 8: 493:delay gap graph between sinus and cosinus. 370:Please include reference to Euler's formula 19: 653: 546: 58: 808:Start-Class vital articles in Mathematics 206: 793:Knowledge vital articles in Mathematics 375:http://en.wikipedia.org/Euler's_formula 60: 658:comment added 08:54, 8 June 2020 (UTC) 199:angular measure. Points in the lower 7: 244:Knowledge:Reference desk/Mathematics 106:This article is within the scope of 49:It is of interest to the following 798:Start-Class level-5 vital articles 14: 818:Mid-priority mathematics articles 233: 126:Knowledge:WikiProject Mathematics 813:Start-Class mathematics articles 788:Knowledge level-5 vital articles 129:Template:WikiProject Mathematics 93: 83: 62: 29: 20: 146:This article has been rated as 464:Thank you! Happy New Years! -- 330:22:47, 21 September 2009 (UTC) 297:22:17, 20 September 2009 (UTC) 273:22:19, 20 September 2009 (UTC) 1: 769:03:38, 17 February 2023 (UTC) 396:14:55, 13 November 2012 (UTC) 311:21:11, 10 December 2006 (UTC) 234:why doesn't anyone like math? 120:and see a list of open tasks. 425:Animation of the unit circle 256:20:33, 1 December 2006 (UTC) 480:07:38, 2 January 2019 (UTC) 450:03:48, 1 January 2019 (UTC) 322:Successfultrollissuccessful 834: 783:Start-Class vital articles 419:03:08, 24 April 2015 (UTC) 365:20:24, 23 April 2008 (UTC) 440:and possibly other bugs. 225:12:30, 17 Aug 2004 (UTC) 145: 78: 57: 736:15:00, 9 June 2020 (UTC) 719:20:37, 8 June 2020 (UTC) 701:19:24, 8 June 2020 (UTC) 672:18:28, 8 June 2020 (UTC) 636:19:23, 2 June 2020 (UTC) 621:18:34, 1 June 2020 (UTC) 607:18:32, 1 June 2020 (UTC) 593:18:26, 1 June 2020 (UTC) 565:12:51, 1 June 2020 (UTC) 521:17:54, 7 June 2020 (UTC) 503:11:21, 30 May 2020 (UTC) 152:project's priority scale 369: 279:Image at bottom of page 109:WikiProject Mathematics 180:The Unit Circle is a 36:level-5 vital article 526:Hi, you removed the 320:yes sir, it does. -- 132:mathematics articles 726:I’m outa of here. 761:Community Tech bot 209:Radian Unit Circle 101:Mathematics portal 45:content assessment 659: 567: 551:comment added by 386:comment added by 166: 165: 162: 161: 158: 157: 825: 664:Bill Cherowitzo 628:Bill Cherowitzo 585:Bill Cherowitzo 577: 513:Bill Cherowitzo 477: 470: 463: 436: 398: 340:Circle-trig6.svg 223:Charles Matthews 212: 210: 172:Untitled comment 134: 133: 130: 127: 124: 103: 98: 97: 87: 80: 79: 74: 66: 59: 42: 33: 32: 25: 24: 16: 833: 832: 828: 827: 826: 824: 823: 822: 773: 772: 757:nomination page 743: 641:Bill Cherowitzo 571: 490: 473: 466: 457: 430: 427: 404: 381: 372: 353: 351:Euclidean plane 342: 281: 236: 208: 174: 131: 128: 125: 122: 121: 99: 92: 72: 43:on Knowledge's 40: 30: 12: 11: 5: 831: 829: 821: 820: 815: 810: 805: 800: 795: 790: 785: 775: 774: 753: 752: 742: 739: 724: 723: 722: 721: 684: 683: 682: 681: 680: 679: 678: 677: 676: 675: 674: 609: 540:Best regards, 524: 523: 489: 486: 485: 484: 483: 482: 426: 423: 403: 400: 388:24.215.213.106 371: 368: 352: 349: 347: 341: 338: 337: 336: 335: 334: 333: 332: 305: 304: 303: 302: 280: 277: 261: 259: 258: 248:Meni Rosenfeld 235: 232: 227: 217: 215: 178: 173: 170: 168: 164: 163: 160: 159: 156: 155: 144: 138: 137: 135: 118:the discussion 105: 104: 88: 76: 75: 67: 55: 54: 48: 26: 13: 10: 9: 6: 4: 3: 2: 830: 819: 816: 814: 811: 809: 806: 804: 801: 799: 796: 794: 791: 789: 786: 784: 781: 780: 778: 771: 770: 766: 762: 758: 751: 748: 747: 746: 740: 738: 737: 733: 729: 720: 716: 712: 708: 707:Deacon Vorbis 704: 703: 702: 698: 694: 690: 689:Deacon Vorbis 685: 673: 669: 665: 661: 660: 657: 650: 646: 642: 639: 638: 637: 633: 629: 624: 623: 622: 618: 614: 610: 608: 604: 600: 596: 595: 594: 590: 586: 581: 580: 575: 570: 569: 568: 566: 562: 558: 554: 550: 544: 541: 538: 535: 531: 529: 522: 518: 514: 510: 507: 506: 505: 504: 500: 496: 487: 481: 478: 476: 471: 469: 461: 456: 455: 454: 453: 452: 451: 447: 443: 439: 434: 424: 422: 420: 416: 412: 411:88.105.200.79 408: 401: 399: 397: 393: 389: 385: 377: 376: 367: 366: 362: 358: 350: 348: 345: 339: 331: 327: 323: 319: 318: 317: 316: 315: 314: 313: 312: 309: 301: 300: 298: 294: 290: 286: 285: 284: 278: 276: 274: 270: 266: 257: 253: 249: 245: 241: 240: 239: 231: 226: 224: 220: 216: 213: 211: 204: 202: 198: 194: 189: 187: 183: 177: 171: 169: 153: 149: 143: 140: 139: 136: 119: 115: 111: 110: 102: 96: 91: 89: 86: 82: 81: 77: 71: 68: 65: 61: 56: 52: 46: 38: 37: 27: 23: 18: 17: 754: 744: 725: 547:— Preceding 545: 542: 539: 536: 532: 525: 508: 491: 474: 467: 428: 409: 405: 382:— Preceding 378: 373: 354: 346: 343: 306: 282: 260: 237: 228: 221: 218: 214: 205: 190: 179: 175: 167: 148:Mid-priority 147: 107: 73:Mid‑priority 51:WikiProjects 34: 654:—Preceding 649:hypothenuse 645:Unit Circle 528:Unit Circle 123:Mathematics 114:mathematics 70:Mathematics 41:Start-class 777:Categories 711:XOR'easter 543:Vitalipom 289:Wiki234234 265:Wiki234234 201:hemisphere 750:Erays.svg 728:Vitalipom 613:Vitalipom 599:Vitalipom 574:Vitalipom 553:Vitalipom 495:Vitalipom 475:Boothsift 433:Boothsift 39:is rated 561:contribs 549:unsigned 534:problem? 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Index


level-5 vital article
content assessment
WikiProjects
WikiProject icon
Mathematics
WikiProject icon
icon
Mathematics portal
WikiProject Mathematics
mathematics
the discussion
Mid
project's priority scale
circle
radius
diagram
radian
hemisphere
Radian Unit Circle
Charles Matthews
Knowledge:Reference desk/Mathematics
Meni Rosenfeld
talk
20:33, 1 December 2006 (UTC)
Wiki234234
talk
22:19, 20 September 2009 (UTC)
Wiki234234
talk

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