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Sınıf Matematik - Ters Trigonometrik Fonksiyonlar | 2022 0:00 Videoda Neler Var? 0:17 Ters Trigonometrik Fonksiyonlar Yeni videolar için ► https://goo.gl/JpWdhc Hocalara Geldik Web Sitesi...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/916399/11df3d42c63a352d9014a0be53e9208e/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/fAL9OQEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"9","reqid":"1769418311139340-14067369663748715296-balancer-l7leveler-kubr-yp-sas-165-BAL","summary":{"isFull":true,"fullTextUrl":"/video/result?ask_summarization=1&numdoc=1&noreask=1&nomisspell=1&parent-reqid=1769418311139340-14067369663748715296-balancer-l7leveler-kubr-yp-sas-165-BAL&text=videoid:14043974939057932929","teaser":[{"list":{"type":"unordered","items":["Bu video, bir matematik dersi formatında olup, bir öğretmen ve Nagehan, Nalan adlı öğrencilerle etkileşim halindedir.","Videoda ters trigonometrik fonksiyonlar konusu detaylı olarak ele alınmaktadır. İlk bölümde sinüs ters fonksiyonu (arksinüs), kosinüs ters fonksiyonu (arkcosinüs) ve tanjant ters fonksiyonu (arktanjant) tanım kümeleri ve görüntü kümeleri açıklanırken, ikinci bölümde ark kosinüs ve ark kotanjant fonksiyonları incelenmektedir. Öğretmen, trigonometrik fonksiyonların işaretlerini, tanım kümelerini ve fonksiyon isim değişimlerini bilim çemberi üzerinde açıklamaktadır.","Videoda her fonksiyon için örnekler çözülerek konu pekiştirilmekte ve ters trigonometrik fonksiyonların türev ve integral konularının müfredatta ağır yer kaplamadığı belirtilmektedir."]},"endTime":874,"title":"11. Sınıf Matematik: Ters Trigonometrik Fonksiyonlar","beginTime":0}],"fullResult":[{"index":0,"title":"Ters Trigonometrik Fonksiyonlar","list":{"type":"unordered","items":["11. sınıf matematik konularında trigonometriye devam edilerek ters trigonometrik fonksiyonlar konusu ele alınacak.","Bir fonksiyonun tersinin de fonksiyon olabilmesi için o fonksiyonun birebir ve örten olması gerekir, ancak trigonometrik fonksiyonlar birebir değildir.","Trigonometrik fonksiyonların ters fonksiyonları tanımlamak için belli bir tanım aralığı seçmek gerekiyor."]},"beginTime":0,"endTime":38,"href":"/video/preview/14043974939057932929?parent-reqid=1769418311139340-14067369663748715296-balancer-l7leveler-kubr-yp-sas-165-BAL&text=Lisandro11.11+-+Topic&t=0&ask_summarization=1"},{"index":1,"title":"Ark Sinüs Fonksiyonu","list":{"type":"unordered","items":["Sinüsün ters fonksiyonu olan ark sinüs, tanım kümesi olarak -90° ile 90° aralığını alır.","Ark sinüs fonksiyonunun görüntü kümesi -1 ile 1 arasındadır.","Ark sinüs x, sinüsünün x olduğu ve -90° ile 90° aralığında olan açıyı verir."]},"beginTime":38,"endTime":112,"href":"/video/preview/14043974939057932929?parent-reqid=1769418311139340-14067369663748715296-balancer-l7leveler-kubr-yp-sas-165-BAL&text=Lisandro11.11+-+Topic&t=38&ask_summarization=1"},{"index":2,"title":"Ark Sinüs Örnekleri","list":{"type":"unordered","items":["Ark sinüs 1/2 = 30° (π/6 radyan), ark sinüs (√2/2) = 45° (π/4 radyan), ark sinüs 0 = 0°.","Ark sinüs fonksiyonunda eksi işareti dışarı alınabilir, örneğin ark sinüs (-√3/2) = -60°.","Ark sinüs fonksiyonunda sinüs ve ark sinüs birbirinin tersi olmasına rağmen, tanım kümesi sınırlı olduğu için doğrudan götürülemeyebilir."]},"beginTime":112,"endTime":339,"href":"/video/preview/14043974939057932929?parent-reqid=1769418311139340-14067369663748715296-balancer-l7leveler-kubr-yp-sas-165-BAL&text=Lisandro11.11+-+Topic&t=112&ask_summarization=1"},{"index":3,"title":"Ark Kosinüs Fonksiyonu","list":{"type":"unordered","items":["Ark kosinüs fonksiyonunun tanım kümesi 0 ile π aralığıdır.","Ark kosinüs fonksiyonunun görüntü kümesi -1 ile 1 arasındadır.","Ark kosinüs x, kosinüsünün x olduğu ve 0 ile π aralığında olan açıyı verir."]},"beginTime":339,"endTime":465,"href":"/video/preview/14043974939057932929?parent-reqid=1769418311139340-14067369663748715296-balancer-l7leveler-kubr-yp-sas-165-BAL&text=Lisandro11.11+-+Topic&t=339&ask_summarization=1"},{"index":4,"title":"Ark Tanjant Fonksiyonu","list":{"type":"unordered","items":["Tanjant fonksiyonunun tanım kümesi -π/2 ile π/2 arasındadır çünkü tanjant 90° ve -90°'da tanımsızdır.","Ark tanjant fonksiyonunun tanım kümesi tüm gerçel sayılar, görüntü kümesi ise -π/2 ile π/2 arasındadır.","Ark tanjant fonksiyonunda tanjantın 0 olduğu açı 0°, tanjantın √3 olduğu açı 60° (π/3 radyan) ve tanjantın 1/√3 olduğu açı 30° (π/6 radyan) olarak hesaplanır."]},"beginTime":465,"endTime":633,"href":"/video/preview/14043974939057932929?parent-reqid=1769418311139340-14067369663748715296-balancer-l7leveler-kubr-yp-sas-165-BAL&text=Lisandro11.11+-+Topic&t=465&ask_summarization=1"},{"index":5,"title":"Trigonometrik Fonksiyonlar ve Bölümler","list":{"type":"unordered","items":["Kosinüs fonksiyonunun işareti bölgede değişir; eksi üç değerinde kosinüs eksi bir bölü kök on olur ve bu dördüncü bölgede bulunur.","Kosinüs 90+alfa formülü kullanıldığında, ikinci bölgede kosinüsün işareti eksi olur ve fonksiyon ismi sinüse dönüşür.","Ters trigonometrik fonksiyonlar (ark kosinüs, ark kotanjant) için tanım kümelerini bilmek önemlidir."]},"beginTime":637,"endTime":724,"href":"/video/preview/14043974939057932929?parent-reqid=1769418311139340-14067369663748715296-balancer-l7leveler-kubr-yp-sas-165-BAL&text=Lisandro11.11+-+Topic&t=637&ask_summarization=1"},{"index":6,"title":"Ters Trigonometrik Fonksiyonlar","list":{"type":"unordered","items":["Ark kosinüs ve ark kotanjant fonksiyonları için tanım kümeleri farklıdır; kotanjant fonksiyonunda pi aralığından reel sayı varken, ark kotanjantta reel sayılardan sonuç pi aralığına gelir.","Ark kotanjant hesaplamalarında, örneğin kotanjantı kök üç olan açının 60 derece olduğunu bilmek gerekir.","Ters trigonometrik fonksiyonlarla ilgili bilmeniz gerekenler bu konularda yer kaplamaz, temel bilgilerle yetinilebilir."]},"beginTime":724,"endTime":857,"href":"/video/preview/14043974939057932929?parent-reqid=1769418311139340-14067369663748715296-balancer-l7leveler-kubr-yp-sas-165-BAL&text=Lisandro11.11+-+Topic&t=724&ask_summarization=1"}],"linkTemplate":"/video/preview/14043974939057932929?parent-reqid=1769418311139340-14067369663748715296-balancer-l7leveler-kubr-yp-sas-165-BAL&text=Lisandro11.11+-+Topic&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"11. 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