{"id":49733,"date":"2014-02-14T22:55:34","date_gmt":"2014-02-14T20:55:34","guid":{"rendered":"http:\/\/www.sorubak.com\/blog\/?p=49733"},"modified":"2014-02-14T22:55:34","modified_gmt":"2014-02-14T20:55:34","slug":"birim-cember-ve-aci-olcu-birimleri","status":"publish","type":"post","link":"https:\/\/www.sorubak.com\/blog\/birim-cember-ve-aci-olcu-birimleri.html","title":{"rendered":"Birim \u00c7ember ve A\u00e7\u0131 \u00d6l\u00e7\u00fc Birimleri"},"content":{"rendered":"<p><b>\u00a0B\u0130R\u0130M \u00c7EMBER<\/b><\/p>\n<p>Analitik d\u00fczlemde merkezi O(0, 0) (orijin) ve yar\u0131\u00e7ap\u0131 1 birim olan \u00e7embere birim (trigonometrik) \u00e7ember denir.<\/p>\n<p>Birim \u00e7emberin denklemi:<\/p>\n<p><b>x<sup>2<\/sup>\u00a0+ y<sup>2<\/sup>\u00a0= 1\u00a0<\/b>dir.<\/p>\n<p><b>B\u0130R\u0130M \u00c7EMBER<\/b><\/p>\n<p>Analitik d\u00fczlemde merkezi O(0, 0) (orijin) ve yar\u0131\u00e7ap\u0131 1 birim olan \u00e7embere birim (trigonometrik) \u00e7ember denir.<\/p>\n<p>Birim \u00e7emberin denklemi:<\/p>\n<p><b>x<sup>2<\/sup>\u00a0+ y<sup>2<\/sup>\u00a0= 1\u00a0<\/b>dir.<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p><b>E. A\u00c7I \u00d6L\u00c7\u00dc B\u0130R\u0130MLER\u0130<\/b><\/p>\n<p>Bir a\u00e7\u0131n\u0131n \u00f6l\u00e7\u00fcs\u00fcn\u00fcn b\u00fcy\u00fckl\u00fc\u011f\u00fcn\u00fc veya k\u00fc\u00e7\u00fckl\u00fc\u011f\u00fcn\u00fc tan\u0131mlamak i\u00e7in, bir \u00f6l\u00e7\u00fc birimi tan\u0131mlanmal\u0131d\u0131r. A\u00e7\u0131y\u0131 \u00f6l\u00e7mek, a\u00e7\u0131n\u0131n kollar\u0131 aras\u0131ndaki a\u00e7\u0131kl\u0131\u011f\u0131 belirlemek demektir.<\/p>\n<p>Genellikle iki birim kullan\u0131l\u0131r. Bunlar; derece ve radyand\u0131r.<\/p>\n<p><b>1. Derece<\/b><\/p>\n<p>Bir tam \u00e7ember yay\u0131n\u0131n 360 e\u015f par\u00e7as\u0131ndan birini g\u00f6ren merkez a\u00e7\u0131n\u0131n \u00f6l\u00e7\u00fcs\u00fcne 1 derece denir. Ve 1\u00b0 ile g\u00f6sterilir.<\/p>\n<p><b>2. Radyan<\/b><\/p>\n<p>Yar\u0131\u00e7ap uzunlu\u011funa e\u015fit uzunluktaki bir yay\u0131 g\u00f6ren merkez a\u00e7\u0131n\u0131n \u00f6l\u00e7\u00fcs\u00fcne 1 radyan denir.<\/p>\n<p><b>Uyar\u0131<\/b><\/p>\n<table width=\"89%\" border=\"1\" cellpadding=\"0\">\n<tbody>\n<tr>\n<td width=\"73%\">Birim \u00e7emberin \u00e7evresi 360\u00b0 veya 2p radyan oldu\u011fu i\u00e7in, 360\u00b0 = 2p radyan d\u0131r.<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p><b>Kural<\/b><\/p>\n<table width=\"89%\" border=\"1\" cellpadding=\"0\">\n<tbody>\n<tr>\n<td width=\"73%\">Derece D ile radyan R ile g\u00f6sterilirse,<\/p>\n<p>D\/180=R\/3.14<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>&nbsp;<\/p>\n<p><b>F. ESAS \u00d6L\u00c7\u00dc<\/b><\/p>\n<p>olmak \u00fczere, birim \u00e7ember \u00fczerinde a a\u00e7\u0131s\u0131 ile<br \/>\na + k <b>\u00d7<\/b> 360\u00b0 a\u00e7\u0131s\u0131 ayn\u0131 noktaya kar\u015f\u0131l\u0131k gelmektedir. Buna g\u00f6re,<\/p>\n<p>olmak \u00fczere, \u00f6l\u00e7\u00fcs\u00fc<\/p>\n<p>a + k <b>\u00d7<\/b> 360\u00b0<\/p>\n<p>olan a\u00e7\u0131n\u0131n esas \u00f6l\u00e7\u00fcs\u00fc a derecedir.<\/p>\n<p>A\u00e7\u0131n\u0131n birimi ne olursa olsun, esas \u00f6l\u00e7\u00fc negatif y\u00f6nl\u00fc olamaz. Di\u011fer bir ifadeyle esas \u00f6l\u00e7\u00fc [0\u00b0, 360\u00b0) aral\u0131\u011f\u0131ndad\u0131r.<\/p>\n<p>Derece cinsinden verilen pozitif a\u00e7\u0131larda, a\u00e7\u0131 360\u00b0 ye b\u00f6l\u00fcn\u00fcr. Elde edilen kalan esas \u00f6l\u00e7\u00fcd\u00fcr.<\/p>\n<p>Derece cinsinden verilen negatif y\u00f6nl\u00fc a\u00e7\u0131larda, a\u00e7\u0131n\u0131n mutlak de\u011feri 360\u00b0 ye b\u00f6l\u00fcn\u00fcr; kalan 360\u00b0 den \u00e7\u0131kar\u0131larak esas \u00f6l\u00e7\u00fc bulunur.<\/p>\n<p>Radyan cinsinden verilen a\u00e7\u0131larda a\u00e7\u0131n\u0131n i\u00e7erisinden 2p nin katlar\u0131 at\u0131l\u0131r. Geriye kalan esas \u00f6l\u00e7\u00fcd\u00fcr.<\/p>\n<p>Radyan cinsinden verilen negatif y\u00f6nl\u00fc a\u00e7\u0131lar\u0131n esas \u00f6l\u00e7\u00fcs\u00fc bulunurken, verilen a\u00e7\u0131 pozitif y\u00f6nl\u00fc a\u00e7\u0131 gibi d\u00fc\u015f\u00fcn\u00fclerek esas \u00f6l\u00e7\u00fc bulunur. Bulunan de\u011fer 2p den \u00e7\u0131kar\u0131l\u0131r.<\/p>\n<p>nin esas \u00f6l\u00e7\u00fcs\u00fc a\u015fa\u011f\u0131daki yolla da bulunabilir. a say\u0131s\u0131 b nin 2 kat\u0131na b\u00f6l\u00fcn\u00fcr. Kalan p nin kat say\u0131s\u0131 olarak paya yaz\u0131l\u0131r payda aynen yaz\u0131l\u0131r.<br \/>\na n\u0131n b nin 2 kat\u0131na b\u00f6l\u00fcm\u00fcnden kalan k ise nin esas \u00f6l\u00e7\u00fcs\u00fc dir.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u00a0B\u0130R\u0130M \u00c7EMBER Analitik d\u00fczlemde merkezi O(0, 0) (orijin) ve yar\u0131\u00e7ap\u0131 1 birim olan \u00e7embere birim (trigonometrik) \u00e7ember denir. Birim \u00e7emberin denklemi: x2\u00a0+ y2\u00a0= 1\u00a0dir. B\u0130R\u0130M \u00c7EMBER Analitik d\u00fczlemde merkezi O(0, 0) (orijin) ve yar\u0131\u00e7ap\u0131 1 birim olan \u00e7embere birim (trigonometrik) \u00e7ember denir. Birim \u00e7emberin denklemi: x2\u00a0+ y2\u00a0= 1\u00a0dir. &nbsp; &nbsp; E. A\u00c7I \u00d6L\u00c7\u00dc B\u0130R\u0130MLER\u0130 Bir &#8230; <a title=\"Birim \u00c7ember ve A\u00e7\u0131 \u00d6l\u00e7\u00fc Birimleri\" class=\"read-more\" href=\"https:\/\/www.sorubak.com\/blog\/birim-cember-ve-aci-olcu-birimleri.html\" aria-label=\"More on Birim \u00c7ember ve A\u00e7\u0131 \u00d6l\u00e7\u00fc Birimleri\">Devam\u0131n\u0131 oku&#8230;<\/a><\/p>\n","protected":false},"author":1685,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[13],"tags":[],"class_list":["post-49733","post","type-post","status-publish","format-standard","hentry","category-mt"],"_links":{"self":[{"href":"https:\/\/www.sorubak.com\/blog\/wp-json\/wp\/v2\/posts\/49733","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.sorubak.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.sorubak.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.sorubak.com\/blog\/wp-json\/wp\/v2\/users\/1685"}],"replies":[{"embeddable":true,"href":"https:\/\/www.sorubak.com\/blog\/wp-json\/wp\/v2\/comments?post=49733"}],"version-history":[{"count":0,"href":"https:\/\/www.sorubak.com\/blog\/wp-json\/wp\/v2\/posts\/49733\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.sorubak.com\/blog\/wp-json\/wp\/v2\/media?parent=49733"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.sorubak.com\/blog\/wp-json\/wp\/v2\/categories?post=49733"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.sorubak.com\/blog\/wp-json\/wp\/v2\/tags?post=49733"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}