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Video, sınavlarda çıkabilecek soru tiplerine de değinmektedir."]},"endTime":622,"title":"DNA ve Genetik Kodu Eğitim Videosu","beginTime":0}],"fullResult":[{"index":0,"title":"DNA ve Genetik Kodun Önemi","list":{"type":"unordered","items":["DNA ve genetik kodu konusu çok önemli ve havalı bir konudur, her sene ulusal sınavlarda ve yazılı sınavlarda sorular sorulmaktadır.","DNA, insanın en önemli parçasıdır çünkü tüm şifreler ve bilgiler bu yapıda kayıtlıdır.","Genetik parmak izi adlı bir yöntem vardır ve bu yöntem adli olayların incelenmesinde saç, tükürük ve kandaki DNA parçalarını inceleyerek katilin kim olduğu belirlenir."]},"beginTime":8,"endTime":136,"href":"/video/preview/9365936792695950095?parent-reqid=1769570195984641-5030461679235523030-balancer-l7leveler-kubr-yp-sas-62-BAL&text=11.8+-+Topic&t=8&ask_summarization=1"},{"index":1,"title":"DNA Yapısı ve Nükleotitler","list":{"type":"unordered","items":["DNA, nükleotit adı verilen yapıtaşlarından oluşur ve nükleotitler bir araya gelerek DNA'ları oluşturur.","Dört çeşit nükleotit vardır: adenin, timin, guanin ve sitozin (ATGC).","Nükleotitlerin yapısında fosfat parçası, deoksiriboz şekeri ve organik baz bulunur."]},"beginTime":136,"endTime":274,"href":"/video/preview/9365936792695950095?parent-reqid=1769570195984641-5030461679235523030-balancer-l7leveler-kubr-yp-sas-62-BAL&text=11.8+-+Topic&t=136&ask_summarization=1"},{"index":2,"title":"DNA'nın Özellikleri","list":{"type":"unordered","items":["DNA çift zincirli bir yapıdadır ve bu zincirler birbirleriyle yapışarak dolanır.","DNA sarmal yapıdadır ve kendini eşleyebilir, böylece çoğalabilir.","DNA eşlenirken fermuar gibi açılır ve uygun nükleotitler karşılıklarına giderek iki farklı DNA parçası oluşur."]},"beginTime":274,"endTime":419,"href":"/video/preview/9365936792695950095?parent-reqid=1769570195984641-5030461679235523030-balancer-l7leveler-kubr-yp-sas-62-BAL&text=11.8+-+Topic&t=274&ask_summarization=1"},{"index":3,"title":"DNA ve Kromozom 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Öğretmen, birim çember üzerinde açıların trigonometrik değerlerini bulma yöntemlerini ve payda eşitleme tekniklerini görsel olarak göstererek konuyu pekiştirmektedir."]},"endTime":2580,"title":"Trigonometri Dersi: Temel Fonksiyonlar ve Sadeleştirme","beginTime":0}],"fullResult":[{"index":0,"title":"Trigonometriye Giriş ve Birim Çember","list":{"type":"unordered","items":["Trigonometriye giriş yapıldıktan sonra bilim çemberi detaylı bir şekilde incelenecek.","Sinüs, kosinüs, tanjant, kotanjant, sekant ve kosekant gibi trigonometrik fonksiyonlar tanıtılacak.","Tüm trigonometrik fonksiyonlar birim çember üzerinde tanımlanmıştır."]},"beginTime":0,"endTime":39,"href":"/video/preview/2091863358734725136?parent-reqid=1769570195984641-5030461679235523030-balancer-l7leveler-kubr-yp-sas-62-BAL&text=11.8+-+Topic&t=0&ask_summarization=1"},{"index":1,"title":"Birim Çember ve Trigonometrik Fonksiyonlar","list":{"type":"unordered","items":["Birim çember, yarıçapı bir birim olan çemberdir ve herhangi bir noktanın apsisinin karesiyle ordinatının karesinin toplamı bir yapar.","Birim çember üzerinde herhangi bir açı çizildiğinde, merkezden bu açının birim çemberi kestiği noktanın apsisi kosinüs değerini, y ekseni üzerindeki izdüşümü ise sinüs değerini verir.","Sinüs ve kosinüs fonksiyonları eksi bir ile artı bir aralığında gider gelir, daha dışarıya çıkamazlar."]},"beginTime":39,"endTime":274,"href":"/video/preview/2091863358734725136?parent-reqid=1769570195984641-5030461679235523030-balancer-l7leveler-kubr-yp-sas-62-BAL&text=11.8+-+Topic&t=39&ask_summarization=1"},{"index":2,"title":"Birim Çemberde Sinüs ve Kosinüs Değerleri","list":{"type":"unordered","items":["Birim çemberde sinüs iki bölgede artan, iki bölgede azalan bir hareket sergiler.","Birinci ve ikinci bölgelerde sinüs pozitiftir, üçüncü ve dördüncü bölgelerde negatiftir.","Birinci ve dördüncü bölgelerde kosinüs pozitiftir, ikinci ve üçüncü bölgelerde negatiftir."]},"beginTime":274,"endTime":471,"href":"/video/preview/2091863358734725136?parent-reqid=1769570195984641-5030461679235523030-balancer-l7leveler-kubr-yp-sas-62-BAL&text=11.8+-+Topic&t=274&ask_summarization=1"},{"index":3,"title":"Özel Açıların Trigonometrik Değerleri","list":{"type":"unordered","items":["Birim çemberde 90 derecelik açının kosinüsü sıfır, sinüsü birdir.","180 derecelik açının kosinüsü eksi bir, sinüsü sıfırdır.","Trigonometrik sadeleştirmeler yaparak kosekant fonksiyonu elde edilebilir."]},"beginTime":471,"endTime":721,"href":"/video/preview/2091863358734725136?parent-reqid=1769570195984641-5030461679235523030-balancer-l7leveler-kubr-yp-sas-62-BAL&text=11.8+-+Topic&t=471&ask_summarization=1"},{"index":4,"title":"Trigonometrik Dönüşümler","list":{"type":"unordered","items":["Sin²x + cos²x = 1 formülü kullanılarak trigonometrik dönüşümler yapılabilir.","Sin²x'i yalnız bırakıp 1 - cos²x veya cos²x'i yalnız bırakıp 1 - sin²x şeklinde dönüşüm yapılabilir.","Cos²x'i yalnız bırakmak daha işe yarar çünkü 8 + 9 - sin²x ifadesi 2 kare farkı oluşturur."]},"beginTime":724,"endTime":764,"href":"/video/preview/2091863358734725136?parent-reqid=1769570195984641-5030461679235523030-balancer-l7leveler-kubr-yp-sas-62-BAL&text=11.8+-+Topic&t=724&ask_summarization=1"},{"index":5,"title":"Trigonometrik Sadeleştirme","list":{"type":"unordered","items":["2 kare farkı 3² - sin²x şeklinde yazılır ve sadeleştirme yapılır.","İşlem sonucunda 3 + sinx - 3 ifadesi elde edilir.","Trigonometrik sadeleştirmeler trigonometrinin en zevkli tarafıdır."]},"beginTime":764,"endTime":788,"href":"/video/preview/2091863358734725136?parent-reqid=1769570195984641-5030461679235523030-balancer-l7leveler-kubr-yp-sas-62-BAL&text=11.8+-+Topic&t=764&ask_summarization=1"},{"index":6,"title":"Sin²x ve Cos²x Kullanımı","list":{"type":"unordered","items":["Eksi 4 sin²x ifadesi sin²x'in karesi olarak düşünülebilir.","Sin²x parantezine alınarak -sin²x(1 + cosx) şeklinde ifade edilir.","Sin²x + cos²x = 1 olduğundan, işlem sonucunda sıfır elde edilir."]},"beginTime":788,"endTime":840,"href":"/video/preview/2091863358734725136?parent-reqid=1769570195984641-5030461679235523030-balancer-l7leveler-kubr-yp-sas-62-BAL&text=11.8+-+Topic&t=788&ask_summarization=1"},{"index":7,"title":"Trigonometrik Fonksiyonların Değerleri","list":{"type":"unordered","items":["Sinüs x ve kosinüs x fonksiyonlarının en büyük değeri 1, en küçük değeri -1'dir ve bu değerler arasında dolaşır.","İki trigonometrik fonksiyonun toplamının en küçük değeri, sinüs x'e -1 ve kosinüs y'ye +1 verildiğinde -7'dir.","İki trigonometrik fonksiyonun toplamının en büyük değeri, sinüs x'e +1 ve kosinüs y'ye -1 verildiğinde +7'dir."]},"beginTime":842,"endTime":941,"href":"/video/preview/2091863358734725136?parent-reqid=1769570195984641-5030461679235523030-balancer-l7leveler-kubr-yp-sas-62-BAL&text=11.8+-+Topic&t=842&ask_summarization=1"},{"index":8,"title":"Trigonometrik Fonksiyonların Formülleri","list":{"type":"unordered","items":["a sin x + b cos x şeklinde bir ifadenin alabileceği en yüksek değer √(a² + b²), en düşük değer ise -√(a² + b²)'dir.","Trigonometrik fonksiyonların en büyük değerlerini bulmak için genellikle özel üçgen katsayıları kullanılır.","Trigonometrik fonksiyonların en büyük değerlerini bulmak için türev bilgisi gereklidir."]},"beginTime":941,"endTime":986,"href":"/video/preview/2091863358734725136?parent-reqid=1769570195984641-5030461679235523030-balancer-l7leveler-kubr-yp-sas-62-BAL&text=11.8+-+Topic&t=941&ask_summarization=1"},{"index":9,"title":"Birim Çemberde Trigonometrik Değerler","list":{"type":"unordered","items":["210 derecelik açının sinüsü ve kosinüsü birim çemberde bulunabilir.","210 derecelik açı 30 derece ve 180 derece açılarının toplamıdır.","210 derecelik açının sinüsü 1/2, kosinüsü ise -√3/2'dir."]},"beginTime":986,"endTime":1077,"href":"/video/preview/2091863358734725136?parent-reqid=1769570195984641-5030461679235523030-balancer-l7leveler-kubr-yp-sas-62-BAL&text=11.8+-+Topic&t=986&ask_summarization=1"},{"index":10,"title":"Tümler Açılar","list":{"type":"unordered","items":["Tümler iki açı toplamları 90 derece olan açılardır.","Tümler açıların sinüs ve kosinüs değerleri birbirine eşittir.","Tümler açıların tanjant ve kotanjant değerleri de birbirine eşittir."]},"beginTime":1077,"endTime":1120,"href":"/video/preview/2091863358734725136?parent-reqid=1769570195984641-5030461679235523030-balancer-l7leveler-kubr-yp-sas-62-BAL&text=11.8+-+Topic&t=1077&ask_summarization=1"},{"index":11,"title":"Tanjant ve Kotanjant","list":{"type":"unordered","items":["Tanjant ve kotanjant hem birim çember üzerinde hem de üçgen üzerinde tanıtılabilir.","Tanjant ekseni x=1 doğrusu olarak tanımlanır ve birim çemberde teğettir.","Tanjant, bir açının tanjant eksenini kestiği yerin y ekseni üzerindeki izdüşümüdür."]},"beginTime":1120,"endTime":1235,"href":"/video/preview/2091863358734725136?parent-reqid=1769570195984641-5030461679235523030-balancer-l7leveler-kubr-yp-sas-62-BAL&text=11.8+-+Topic&t=1120&ask_summarization=1"},{"index":12,"title":"Tanjant ve Kotanjantın Özellikleri","list":{"type":"unordered","items":["Tanjant, açı arttıkça eksi sonsuzdan artı sonsuza doğru artar.","Tanjant 90 derece noktasında tanımsızdır, ancak 90 derecenin hafif sağında artı sonsuz, hafif solunda eksi sonsuz değer alır.","Kotanjant, açı arttıkça artı sonsuzdan eksi sonsuza doğru azalır."]},"beginTime":1235,"endTime":1523,"href":"/video/preview/2091863358734725136?parent-reqid=1769570195984641-5030461679235523030-balancer-l7leveler-kubr-yp-sas-62-BAL&text=11.8+-+Topic&t=1235&ask_summarization=1"},{"index":13,"title":"Tanjant ve Kotanjantın İlişkisi","list":{"type":"unordered","items":["Tanjant alfa, sinüs alfa bölü kosinüs alfa şeklinde yazılabilir.","Kotanjant alfa, komşu kenar bölü karşı kenar şeklinde yazılabilir.","Tanjant alfa ile kotanjant alfa'nın çarpımı her zaman 1'dir."]},"beginTime":1523,"endTime":1532,"href":"/video/preview/2091863358734725136?parent-reqid=1769570195984641-5030461679235523030-balancer-l7leveler-kubr-yp-sas-62-BAL&text=11.8+-+Topic&t=1523&ask_summarization=1"},{"index":14,"title":"Trigonometrik Fonksiyonların Özel Değerleri","list":{"type":"unordered","items":["Tanjant 90 derece tanımsızdır çünkü tanjant eksenini kesmez.","Kotanjant 90 derece 0'dır, kotanjant 180 derece tanımsızdır, tanjant 180 derece 0'dır.","Tanjant 90 derece, sinüs 90 derece bölü kosinüs 90 derece şeklinde ifade edilir ve sinüs 90 derece 1, kosinüs 90 derece tanımsız olduğundan tanjant 90 derece tanımsızdır."]},"beginTime":1543,"endTime":1632,"href":"/video/preview/2091863358734725136?parent-reqid=1769570195984641-5030461679235523030-balancer-l7leveler-kubr-yp-sas-62-BAL&text=11.8+-+Topic&t=1543&ask_summarization=1"},{"index":15,"title":"Birim Çemberde Trigonometrik İşlemler","list":{"type":"unordered","items":["330 derece açısı, 360 dereceye 30 derece kala bulunur ve birim çemberde gösterilir.","Tanjant 330 derece 1/√3, kotanjant 330 derece -√3'tür.","Tanjant ve kotanjant çarpımı 1'e eşittir."]},"beginTime":1632,"endTime":1758,"href":"/video/preview/2091863358734725136?parent-reqid=1769570195984641-5030461679235523030-balancer-l7leveler-kubr-yp-sas-62-BAL&text=11.8+-+Topic&t=1632&ask_summarization=1"},{"index":16,"title":"Trigonometrik İfadelerin Sadeleştirilmesi","list":{"type":"unordered","items":["Trigonometrik ifadelerde payda eşitleme yöntemi kullanılarak sadeleştirme yapılabilir.","İçler dışlar çarpma yöntemi de trigonometrik ifadelerde sadeleştirme için kullanılabilir.","Test kitaplarında trigonometrik ifadelerde sadeleştirme soruları sıkça çıkmaktadır."]},"beginTime":1758,"endTime":1964,"href":"/video/preview/2091863358734725136?parent-reqid=1769570195984641-5030461679235523030-balancer-l7leveler-kubr-yp-sas-62-BAL&text=11.8+-+Topic&t=1758&ask_summarization=1"},{"index":17,"title":"Trigonometrik Denklemler ve Uygulamaları","list":{"type":"unordered","items":["Tanjant x + kotanjant x = 4 olduğuna göre tanjant x - kotanjant x ifadesinin negatif değeri -√2'dir.","Birim çemberde x = 1 doğrusu teğet olduğunda, AC uzunluğunun alfa türünden değeri √(1 + tan²α) - 1'dir.","Birim çemberde çizilen yamuğun alanı, alt taban (tanα), üst taban (sinα) ve yükseklik (1 - cosα) kullanılarak sin³α/2 olarak hesaplanabilir."]},"beginTime":1964,"endTime":2231,"href":"/video/preview/2091863358734725136?parent-reqid=1769570195984641-5030461679235523030-balancer-l7leveler-kubr-yp-sas-62-BAL&text=11.8+-+Topic&t=1964&ask_summarization=1"},{"index":18,"title":"Sekant ve Kosekant Fonksiyonları","list":{"type":"unordered","items":["Sekant, bir bölü kosinüs'tür ve hipotenüs bölü komşu olarak hesaplanır.","Kosekant, hipotenüs bölü karşı olarak hesaplanır.","Dik üçgende üç kenar ikişerli olarak sıralandığında altı farklı durum elde edilir ve bu durum trigonometrik fonksiyonların sayısını açıklar."]},"beginTime":2238,"endTime":2320,"href":"/video/preview/2091863358734725136?parent-reqid=1769570195984641-5030461679235523030-balancer-l7leveler-kubr-yp-sas-62-BAL&text=11.8+-+Topic&t=2238&ask_summarization=1"},{"index":19,"title":"Birim Çemberde Sekant ve Kosekant","list":{"type":"unordered","items":["Birim çemberde bir açının sekantı, o açıdan çizilen teğetin x eksenini kestiği noktadır.","Birim çemberde bir açının kosekantı, o açıdan çizilen teğetin y eksenini kestiği noktadır.","Sekant ve kosekant fonksiyonları sabit bir eksen değil, açı ve teğet ilişkisinden elde edilir."]},"beginTime":2320,"endTime":2431,"href":"/video/preview/2091863358734725136?parent-reqid=1769570195984641-5030461679235523030-balancer-l7leveler-kubr-yp-sas-62-BAL&text=11.8+-+Topic&t=2320&ask_summarization=1"},{"index":20,"title":"Sekant ve Kosekantın En Sade Halleri","list":{"type":"unordered","items":["Sekantın en sade hali 1 + sin²α/cos²α'dır.","Kosekantın en sade hali 1 + cos²α/sin²α'dır.","Sekant ve kosekant fonksiyonları, sinüs ve kosinüs fonksiyonlarının tersleri olarak da tanımlanabilir."]},"beginTime":2431,"endTime":2497,"href":"/video/preview/2091863358734725136?parent-reqid=1769570195984641-5030461679235523030-balancer-l7leveler-kubr-yp-sas-62-BAL&text=11.8+-+Topic&t=2431&ask_summarization=1"},{"index":21,"title":"Trigonometrik Denklem Çözümü","list":{"type":"unordered","items":["Bir trigonometrik denklemde 1 + sinα ifadesi kullanılarak çözüm yapılır.","Denklemde tam kare formülü kullanılarak ve sadeleştirme yapılarak sonuç 2/cosα = 2 sekantα olarak bulunur.","Trigonometri konusunda bol soru çözmek ve çalışmak önemlidir, bu üniversite imtihanlarında fayda sağlayacaktır."]},"beginTime":2497,"endTime":2562,"href":"/video/preview/2091863358734725136?parent-reqid=1769570195984641-5030461679235523030-balancer-l7leveler-kubr-yp-sas-62-BAL&text=11.8+-+Topic&t=2497&ask_summarization=1"}],"linkTemplate":"/video/preview/2091863358734725136?parent-reqid=1769570195984641-5030461679235523030-balancer-l7leveler-kubr-yp-sas-62-BAL&text=11.8+-+Topic&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"11.Sınıf Matematik - Trigonometrik Fonksiyonlar | 2022","related_orig_text":"11.8 - Topic","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"11.8 - 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