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çok olduğu ve sayıları hızla arttığı belirtilmiştir.","Korsan ürünlerin artması nedeniyle yetkililerin yeni önlemler aldığı ifade edilmiştir."]},"beginTime":568,"endTime":629,"href":"/video/preview/5584140867847840834?parent-reqid=1765284912722542-1119979351622523973-balancer-l7leveler-kubr-yp-sas-184-BAL&text=Derstek+Akademi&t=568&ask_summarization=1"},{"index":6,"title":"Ma Ekinin Farklı Görevlerde Kullanımı","list":{"type":"unordered","items":["Ma eki isim fiil yapar, olumsuzluk eki olarak kullanılır ve yapım eki olarak da kullanılır.","\"Büşra hoca ders çalışmaya başlamış\" cümlesinde ma eki isim fiil yapmıştır.","\"Benim artık konuşma dedi\" cümlesinde ma eki olumsuzluk eki olarak kullanılmıştır."]},"beginTime":629,"endTime":675,"href":"/video/preview/5584140867847840834?parent-reqid=1765284912722542-1119979351622523973-balancer-l7leveler-kubr-yp-sas-184-BAL&text=Derstek+Akademi&t=629&ask_summarization=1"},{"index":7,"title":"Metin 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Matematik 1.Dönem 1.Yazili/100 Alacaksiniz/2020 ALİ hocamın tecrübelerini aktardığı soru ve çözümleri bu videomuz da bulacaksınız... Ali Hocama katkılarından dolayı teşekkür ediyorum...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/929714/0a8bd96be39a3b863e2fb53b6f1a8b71/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/ww95QQEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"12","reqid":"1765284912722542-1119979351622523973-balancer-l7leveler-kubr-yp-sas-184-BAL","summary":{"isFull":true,"fullTextUrl":"/video/result?ask_summarization=1&numdoc=1&noreask=1&nomisspell=1&parent-reqid=1765284912722542-1119979351622523973-balancer-l7leveler-kubr-yp-sas-184-BAL&text=videoid:12533881601229668041","teaser":[{"list":{"type":"unordered","items":["Bu video, bir öğretmen/eğitmen tarafından sunulan 11. sınıf matematik yazılı sınavına hazırlık amaçlı trigonometri konulu bir eğitim içeriğidir.","Videoda trigonometri konusundaki çeşitli soru tipleri adım adım çözülmektedir. İlk bölümde sinüs ve kosinüs fonksiyonlarının maksimum-minimum değerleri, birim çemberde trigonometrik fonksiyonlar, trigonometrik özdeşlikler, ikizkenar üçgende trigonometrik hesaplamalar ve trigonometrik fonksiyonların sıralanması ele alınırken, ikinci bölümde negatif sayıların sıralanması, ters trigonometrik fonksiyonlar, yatay-dikey açılar, paralelkenar ve eşkenar dörtgen ile ilgili sorular çözülmektedir.","Her soru için detaylı çözüm yöntemleri ve not alma ipuçları sunulmakta, trigonometrik fonksiyonların özellikleri (sinüs, kosinüs, tanjant, kotanjant) kullanılarak çözümler gösterilmektedir. Video, trigonometri konusunda pratik yapmak isteyen öğrenciler için faydalı bir kaynak niteliğindedir."]},"endTime":1497,"title":"11. Sınıf Matematik Trigonometri Soru Çözümleri","beginTime":0}],"fullResult":[{"index":0,"title":"11. Sınıf Matematik Yazılı Örnek Çözümü","list":{"type":"unordered","items":["11. sınıf matematik yazılı örnek çözümüne hoş geldiniz mesajı veriliyor.","İlk soruda a = 2sinx - 3cosy ve b = 3cosx - 4 olmak üzere a'nın en küçük değeri ile b'nin en büyük değerinin toplamı bulunuyor.","Sinüs ve kosinüsün -1 ile +1 aralığında değer aldığı hatırlatılıyor."]},"beginTime":6,"endTime":94,"href":"/video/preview/12533881601229668041?parent-reqid=1765284912722542-1119979351622523973-balancer-l7leveler-kubr-yp-sas-184-BAL&text=Derstek+Akademi&t=6&ask_summarization=1"},{"index":1,"title":"İlk Sorunun Çözümü","list":{"type":"unordered","items":["a'nın en küçük değeri için sinx = -1 ve cosy = +1 alınarak a = -5 bulunuyor.","b'nin en büyük değeri için not kullanılarak √(3²+(-4)²) = 5 bulunuyor.","a + b = -5 + 5 = 0 olarak hesaplanıyor."]},"beginTime":94,"endTime":193,"href":"/video/preview/12533881601229668041?parent-reqid=1765284912722542-1119979351622523973-balancer-l7leveler-kubr-yp-sas-184-BAL&text=Derstek+Akademi&t=94&ask_summarization=1"},{"index":2,"title":"İkinci Soru","list":{"type":"unordered","items":["Birim çemberde 90 ile 180 derece arasındaki ikinci bölgede sinα - cosα = 2sinα + 2cosα denklemi çözülüyor.","İçler dışlar çarpımı yapılarak -sinα = 3cosα bulunuyor.","Tanα = -3 olarak hesaplanıyor ve kosinüs değeri -1/2 olarak bulunuyor."]},"beginTime":193,"endTime":348,"href":"/video/preview/12533881601229668041?parent-reqid=1765284912722542-1119979351622523973-balancer-l7leveler-kubr-yp-sas-184-BAL&text=Derstek+Akademi&t=193&ask_summarization=1"},{"index":3,"title":"Üçüncü Soru","list":{"type":"unordered","items":["Tan²α + sec²α ifadesinin en sade şeklini bulmak için tan²α = sin²α/cos²α ve sec²α = 1/cos²α formülleri kullanılıyor.","Payda eşitleme yapılarak ifade sadeleştiriliyor.","Sonuç olarak tan²α bulunuyor."]},"beginTime":348,"endTime":441,"href":"/video/preview/12533881601229668041?parent-reqid=1765284912722542-1119979351622523973-balancer-l7leveler-kubr-yp-sas-184-BAL&text=Derstek+Akademi&t=348&ask_summarization=1"},{"index":4,"title":"Dördüncü Soru","list":{"type":"unordered","items":["sinα + cosα = 1/4 verilmiş ve sinα + cosα'nın pozitif değeri isteniyor.","(sinα + cosα)² = sin²α + cos²α + 2sinαcosα formülü kullanılarak 3/2 bulunuyor.","Karekök alınarak |sinα + cosα| = √3/2 veya √6/2 olarak hesaplanıyor."]},"beginTime":441,"endTime":568,"href":"/video/preview/12533881601229668041?parent-reqid=1765284912722542-1119979351622523973-balancer-l7leveler-kubr-yp-sas-184-BAL&text=Derstek+Akademi&t=441&ask_summarization=1"},{"index":5,"title":"Beşinci Soru","list":{"type":"unordered","items":["İkizkenar üçgende tanβ = 3/2 verilmiş ve tanα isteniyor.","C noktasından dik indirilerek Pisagor teoremi uygulanıyor.","x = 5/4 bulunuyor ve tanα = 12/5 olarak hesaplanıyor."]},"beginTime":568,"endTime":715,"href":"/video/preview/12533881601229668041?parent-reqid=1765284912722542-1119979351622523973-balancer-l7leveler-kubr-yp-sas-184-BAL&text=Derstek+Akademi&t=568&ask_summarization=1"},{"index":6,"title":"Altıncı Soru","list":{"type":"unordered","items":["Sıralama sorusunda verilen açıların işaretleri belirleniyor.","sin40° = -sin80°, tan10° = -tan10°, cot10° = cot10° ve cos70° = cot70° olarak hesaplanıyor.","cot10° en büyük değer olduğu için sıralama yapılıyor."]},"beginTime":715,"endTime":808,"href":"/video/preview/12533881601229668041?parent-reqid=1765284912722542-1119979351622523973-balancer-l7leveler-kubr-yp-sas-184-BAL&text=Derstek+Akademi&t=715&ask_summarization=1"},{"index":7,"title":"Negatif Trigonometrik Fonksiyonların Sıralaması","list":{"type":"unordered","items":["Negatif sayılar sıralanırken normal sıralamanın tam tersi yapılır.","Sinüs değerleri karşılaştırıldığında, negatif açılar için sinüs değerleri ters sıralanır.","Tanjant değerleri derece küçüldükçe küçülür ve negatif açılar için sıralama ters döner."]},"beginTime":812,"endTime":914,"href":"/video/preview/12533881601229668041?parent-reqid=1765284912722542-1119979351622523973-balancer-l7leveler-kubr-yp-sas-184-BAL&text=Derstek+Akademi&t=812&ask_summarization=1"},{"index":8,"title":"Ters Trigonometrik Fonksiyon Sorusu","list":{"type":"unordered","items":["Ters trigonometrik fonksiyon sorusunda, iki farklı değeri eşitleyerek çözüm yapılır.","Ark kosinüs x = y ve ark kotanjant 3 = y eşitlikleri kullanılarak kosinüs y = 3/10 bulunur."]},"beginTime":914,"endTime":1002,"href":"/video/preview/12533881601229668041?parent-reqid=1765284912722542-1119979351622523973-balancer-l7leveler-kubr-yp-sas-184-BAL&text=Derstek+Akademi&t=914&ask_summarization=1"},{"index":9,"title":"Yatay-Dikey Trigonometrik Soru","list":{"type":"unordered","items":["Yatay-dikey trigonometrik soruda, açıların esas ölçüsü hesaplanır.","Kosinüs çift fonksiyon olduğu için eksi işaretleri artı yapılır.","Trigonometrik fonksiyonların işaretleri ve isim değişimleri kullanılarak sonuç -sekant x olarak bulunur."]},"beginTime":1002,"endTime":1186,"href":"/video/preview/12533881601229668041?parent-reqid=1765284912722542-1119979351622523973-balancer-l7leveler-kubr-yp-sas-184-BAL&text=Derstek+Akademi&t=1002&ask_summarization=1"},{"index":10,"title":"Paralelkenar ve Eşkenar Dörtgen Sorusu","list":{"type":"unordered","items":["Paralelkenar veya eşkenar dörtgen sorusunda kosinüs teoremi kullanılır.","BC'ye paralel bir çizgi çizilerek üçgen oluşturulur.","Kosinüs teoremi uygulanarak x² = 28 bulunur ve x = 2√7 olarak hesaplanır."]},"beginTime":1186,"endTime":1328,"href":"/video/preview/12533881601229668041?parent-reqid=1765284912722542-1119979351622523973-balancer-l7leveler-kubr-yp-sas-184-BAL&text=Derstek+Akademi&t=1186&ask_summarization=1"},{"index":11,"title":"Sinüs Teoremi Sorusu","list":{"type":"unordered","items":["Sinüs teoremi sorusunda iki açı ve tabanların oranı 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