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| testler | 3 adım ayt 12.","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/2132023/0774c01057e107888adfb3b81b6ad08c/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/VmpOIAIAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"18","reqid":"1770015061136143-355220501157485903-balancer-l7leveler-kubr-yp-vla-36-BAL","summary":{"isFull":true,"fullTextUrl":"/video/result?ask_summarization=1&numdoc=1&noreask=1&nomisspell=1&parent-reqid=1770015061136143-355220501157485903-balancer-l7leveler-kubr-yp-vla-36-BAL&text=videoid:4222395499128512372","teaser":[{"list":{"type":"unordered","items":["Bu video, bir matematik eğitmeni tarafından sunulan trigonometri konulu eğitim içeriğidir. Eğitmen, tahtada notlar alarak ve öğrencilere hitap ederek konuyu açıklamaktadır.","Video, trigonometri konusunun çeşitli yönlerini kapsamaktadır. İlk olarak toplam fark ve iki kat açı formülleri, trigonometrik denklemler, yarım açı formülleri gibi temel konular anlatılmakta, ardından yay açıları, çevre açı ve merkez açı ilişkisi ele alınmaktadır. Daha sonra çeşitli trigonometri problemleri adım adım çözülmekte, tanjant, sinüs ve kosinüs değerlerinin hesaplanması, üçgenlerde trigonometrik fonksiyonların kullanımı gibi konular işlenmektedir.","Videoda ayrıca dik üçgenlerde trigonometrik değerler, kare ve eş dikdörtgenlerden oluşan yapılarla ilgili geometri problemleri, geniş açılı üçgenlerde trigonometrik hesaplamalar ve geometrik yöntemlerle trigonometrik ifadelerin bulunması gibi farklı problem tipleri de çözülmektedir. Eğitmen, formüllere boğulmadan geometrik çözümler sunarak problemleri daha kolay anlamanın yollarını göstermektedir."]},"endTime":2588,"title":"Trigonometri Konu Anlatımı ve Problem Çözümleri","beginTime":0}],"fullResult":[{"index":0,"title":"Trigonometrik Denklemler Konu Anlatımı","list":{"type":"unordered","items":["Videoda toplam fark ve iki kat açı formülleri, trigonometrik denklemler konusu anlatılacak.","Konu anlatımı, Milli Eğitim Bakanlığı tarafından hazırlanmış olan Üç Adım AYT matematik konu ile ilgili ikinci adım testi çözülecek.","Üç Adım AYT ve TYT'nin tamamı konu anlatımlı olarak çözülecek ve oynatma listelerinde bulunabilir."]},"beginTime":0,"endTime":70,"href":"/video/preview/4222395499128512372?parent-reqid=1770015061136143-355220501157485903-balancer-l7leveler-kubr-yp-vla-36-BAL&text=Addik2You&t=0&ask_summarization=1"},{"index":1,"title":"Trigonometrik Denklemler Soruları","list":{"type":"unordered","items":["İlk soruda dik üçgende sinüs 30 derece ve 1+cos 30 derece verilmiş, sinüs 2alfa değeri sorulmuş.","Tanjant alfa ifadesi 1+cos 30/sin 30 olarak yazılabilir ve bu ifade tanjant 15 dereceye eşittir.","Tanjant alfa = tanjant 15 derece olduğundan alfa = 75 derece bulunur ve sinüs 2alfa = sinüs 150 derece = 1/2 olarak hesaplanır."]},"beginTime":70,"endTime":293,"href":"/video/preview/4222395499128512372?parent-reqid=1770015061136143-355220501157485903-balancer-l7leveler-kubr-yp-vla-36-BAL&text=Addik2You&t=70&ask_summarization=1"},{"index":2,"title":"Trigonometrik Denklemler Soruları","list":{"type":"unordered","items":["İkinci soruda 2x açısı 0,45 derece arasında, kosekant çarpı kosinüs 1-cos²x = 1/8 verilmiş ve kosinüs 2x sorulmuş.","Kosekant x = 1/sin x olduğundan, verilen ifade sin 2x/2 = 1/8 olarak yazılabilir ve sin 2x = 1/4 bulunur.","Dik üçgen çizilerek kosinüs 2x = √15/4 olarak hesaplanır."]},"beginTime":293,"endTime":412,"href":"/video/preview/4222395499128512372?parent-reqid=1770015061136143-355220501157485903-balancer-l7leveler-kubr-yp-vla-36-BAL&text=Addik2You&t=293&ask_summarization=1"},{"index":3,"title":"Ters Trigonometrik Değerler","list":{"type":"unordered","items":["Üçüncü soruda sinüs alfa + beta değeri sorulmuş ve tanjant 2 olan alfa ile tanjant 3 olan beta değerleri verilmiş.","Sinüs alfa + beta formülü kullanılarak sin alfa = 2√5/√50 ve sin beta = 3√50/√50 değerleri bulunur.","Sinüs alfa + beta = (2√5/√50) + (3√50/√50) = 5√50/√50 = 5√2/2 olarak hesaplanır."]},"beginTime":412,"endTime":566,"href":"/video/preview/4222395499128512372?parent-reqid=1770015061136143-355220501157485903-balancer-l7leveler-kubr-yp-vla-36-BAL&text=Addik2You&t=412&ask_summarization=1"},{"index":4,"title":"Birim Çember Sorusu","list":{"type":"unordered","items":["Dördüncü soruda birim çemberde ABC noktaları verilmiş ve ABC açısı 33 derece olarak belirtilmiş.","A noktasının koordinatları çarpımı sorulmuş.","Birim çemberde A noktasının koordinatları kosinüs alfa ve sinüs alfa olarak hesaplanır."]},"beginTime":566,"endTime":606,"href":"/video/preview/4222395499128512372?parent-reqid=1770015061136143-355220501157485903-balancer-l7leveler-kubr-yp-vla-36-BAL&text=Addik2You&t=566&ask_summarization=1"},{"index":5,"title":"Trigonometrik Açılar ve Koordinatlar","list":{"type":"unordered","items":["Çevre açısı 33 derece olduğunda, merkezden görülen yay 66 derece olur.","A noktasının koordinatları kosinüs 24 derece ve sinüs 24 derece olarak bulunur.","Kosinüs 24 derece ile sinüs 24 derecenin çarpımı, sinüs 48 dereceye eşittir."]},"beginTime":615,"endTime":711,"href":"/video/preview/4222395499128512372?parent-reqid=1770015061136143-355220501157485903-balancer-l7leveler-kubr-yp-vla-36-BAL&text=Addik2You&t=615&ask_summarization=1"},{"index":6,"title":"Trigonometrik Denklemler","list":{"type":"unordered","items":["Kosinüs 2x formülü ve sinüs a+b formülü kullanılarak bir denklem çözülür.","Kosinüs a-b formülü kullanılarak denklemin sonucu 3 olarak bulunur.","Kosinüs 60 derece değeri 1/2'dir."]},"beginTime":711,"endTime":829,"href":"/video/preview/4222395499128512372?parent-reqid=1770015061136143-355220501157485903-balancer-l7leveler-kubr-yp-vla-36-BAL&text=Addik2You&t=711&ask_summarization=1"},{"index":7,"title":"Trigonometrik Denklem Çözümü","list":{"type":"unordered","items":["Kosinüs 2x sinüs x bölü x eksi 3 bölü 2 eşittir 1 denkleminin 0, 270 derece dahil kaç kökü vardır sorulur.","Denklem dar açı şeklinde yazılır ve sinüs 270 derece eksi sinüs x olarak ifade edilir.","Kosinüs 2x ifadesi eksi kosinüs x olarak yazılır ve sinüs 270 derece eksi kosinüs x olarak ifade edilir."]},"beginTime":829,"endTime":930,"href":"/video/preview/4222395499128512372?parent-reqid=1770015061136143-355220501157485903-balancer-l7leveler-kubr-yp-vla-36-BAL&text=Addik2You&t=829&ask_summarization=1"},{"index":8,"title":"İkinci Dereceden Denklem Çözümü","list":{"type":"unordered","items":["Sinüs kare x yerine 1 eksi kos kare x yazarak denklem düzenlenir.","Denklem çarpanlarına ayrılır ve cos x = 0, cos x = -1/2 çözümleri bulunur.","0 ile 270 derece arasında 4 kök vardır: 120 derece, 240 derece, 90 derece ve 270 derece."]},"beginTime":930,"endTime":1161,"href":"/video/preview/4222395499128512372?parent-reqid=1770015061136143-355220501157485903-balancer-l7leveler-kubr-yp-vla-36-BAL&text=Addik2You&t=930&ask_summarization=1"},{"index":9,"title":"Trigonometrik İfadeler","list":{"type":"unordered","items":["Sinüs 2 tanjant alfa ifadesi sorulur.","Tanjantı 5 olan dik üçgen çizilerek alfa açısının trigonometrik değerleri bulunur.","Sinüs 2 alfa ifadesi 10/√6 olarak hesaplanır."]},"beginTime":1161,"endTime":1239,"href":"/video/preview/4222395499128512372?parent-reqid=1770015061136143-355220501157485903-balancer-l7leveler-kubr-yp-vla-36-BAL&text=Addik2You&t=1161&ask_summarization=1"},{"index":10,"title":"Tanjant ABC Hesaplama","list":{"type":"unordered","items":["Eş dikdörtgenlerden oluşan bir şekildedir ve ABC noktaları birleştirilmiştir.","Tanjant ABC hesaplaması için iki alternatif yol vardır: 180-a+b formülü veya tanjant alfa+beta formülü.","Dik üçgenlerin kenarları a ve 4a olarak belirlenmiş, tanjant alfa=5/3 ve tanjant beta=3/8 olarak hesaplanmıştır.","Tanjant ABC değeri 49/24 olarak bulunmuş ve sadeleştirilerek 9/3=3 olarak sonuçlanmıştır."]},"beginTime":1244,"endTime":1433,"href":"/video/preview/4222395499128512372?parent-reqid=1770015061136143-355220501157485903-balancer-l7leveler-kubr-yp-vla-36-BAL&text=Addik2You&t=1244&ask_summarization=1"},{"index":11,"title":"Sinüs Denklemi Çözümü","list":{"type":"unordered","items":["x açısı 0 ile 180 derece arasında, sinüs 7x = kök3/2 denklemi sağlayan x değerleri hesaplanmaktadır.","Kök3/2 değeri 60 derece sinüsü olduğundan, 7x = 60° + 2πk veya 7x = 120° + 2πk denklemleri elde edilmiştir.","x değerleri 60°/7 + 2π/7k ve 120°/7 + 2π/7k şeklinde 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B değerleri verilmiş, tanjant A-B ifadesinin değeri sorulmuş.","Tanjant A-B formülü tanjant A - tanjant B bölü 1 + tanjant A × tanjant B olarak hesaplanmıştır.","A açısı ikinci bölgede olduğu için tanjant değeri negatiftir ve -4/3 olarak bulunmuştur."]},"beginTime":2115,"endTime":2220,"href":"/video/preview/4222395499128512372?parent-reqid=1770015061136143-355220501157485903-balancer-l7leveler-kubr-yp-vla-36-BAL&text=Addik2You&t=2115&ask_summarization=1"},{"index":17,"title":"Kosinüs B ve Sonuç","list":{"type":"unordered","items":["Kosinüs B değeri 5/12 olarak hesaplanmıştır.","Tanjant A-B ifadesi -63/16 olarak bulunmuştur.","Sorunun doğru cevabı A şıkkıdır."]},"beginTime":2220,"endTime":2308,"href":"/video/preview/4222395499128512372?parent-reqid=1770015061136143-355220501157485903-balancer-l7leveler-kubr-yp-vla-36-BAL&text=Addik2You&t=2220&ask_summarization=1"},{"index":18,"title":"Tanjant 2x Problemi","list":{"type":"unordered","items":["Tanjant 2x = 8/15 olduğuna göre tanjant x değeri sorulmuştur.","Geometrik çözüm yöntemiyle, tanjant 2x = 8/15 olduğunda üçgenin kenarları 8, 15 ve 17 olarak bulunmuştur.","Üçgenin ikizkenar olduğu ve tanjant x = 8/32 = 1/4 olarak hesaplanmıştır."]},"beginTime":2308,"endTime":2440,"href":"/video/preview/4222395499128512372?parent-reqid=1770015061136143-355220501157485903-balancer-l7leveler-kubr-yp-vla-36-BAL&text=Addik2You&t=2308&ask_summarization=1"},{"index":19,"title":"Kotanjant 4x Problemi","list":{"type":"unordered","items":["6 tanjant 2x = 1 - tanjant kare 2x olduğuna göre kotanjant 4x değeri sorulmuştur.","Tam kare farkı formülü kullanılarak 1 = 3 × tanjant 4x olarak bulunmuştur.","Tanjant 4x = 1/3 olduğundan kotanjant 4x = 3 olarak hesaplanmıştır."]},"beginTime":2440,"endTime":2577,"href":"/video/preview/4222395499128512372?parent-reqid=1770015061136143-355220501157485903-balancer-l7leveler-kubr-yp-vla-36-BAL&text=Addik2You&t=2440&ask_summarization=1"},{"index":20,"title":"Video 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