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Video, matematik problemlerinin görsel olarak nasıl çözülebileceğini gösteren eğlenceli bir içerik sunmaktadır."]},"endTime":460,"title":"LGS Sonrası Matematik Problemi Çözümü","beginTime":0}],"fullResult":[{"index":0,"title":"LGS Sınavı Sonrası ve Tatil Planları","list":{"type":"unordered","items":["LGS sınavı bitti ve yakında üniversite sınavı için başarılar dileği sunuluyor.","Tatil yaklaşırken konuşmacı için tatil demek çalışma zamanı, daha fazla ders ve çalışma fırsatı demek."]},"beginTime":0,"endTime":19,"href":"/video/preview/2960378661542453239?parent-reqid=1765292074841816-4841365153512151269-balancer-l7leveler-kubr-yp-sas-246-BAL&text=arstan11111&t=0&ask_summarization=1"},{"index":1,"title":"Instagram'dan Paylaşılan Matematik Görseli","list":{"type":"unordered","items":["Instagram'da karşılaşılan bir görsel paylaşılıyor: \"artı bir artı iki artı üç eşittir pi\".","Görselde üç açı verilmiş ve bunların tanjant değerleri 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gösteriliyor."]},"beginTime":83,"endTime":199,"href":"/video/preview/2960378661542453239?parent-reqid=1765292074841816-4841365153512151269-balancer-l7leveler-kubr-yp-sas-246-BAL&text=arstan11111&t=83&ask_summarization=1"},{"index":4,"title":"Matematiksel İspat","list":{"type":"unordered","items":["Dik üçgende tanjant değerleri kullanılarak arctan 1 = x, arctan 2 = y, arctan 3 = z olarak belirleniyor.","x + y + z ifadesinin bir doğru açıyı verdiği (π) belirtiliyor."]},"beginTime":199,"endTime":252,"href":"/video/preview/2960378661542453239?parent-reqid=1765292074841816-4841365153512151269-balancer-l7leveler-kubr-yp-sas-246-BAL&text=arstan11111&t=199&ask_summarization=1"},{"index":5,"title":"Şekil Olmadan İspat","list":{"type":"unordered","items":["Şekil olmadan arctan 1 + arctan 2 + arctan 3 = π ifadesinin doğruluğu inceleniyor.","a, b, c olarak tanımlanan değerler için a + b + c = π olup olmadığı kontrol ediliyor.","Eşitliğin sağlandığı gösteriliyor ve sonuç olarak arctan 1 + arctan 2 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merhaba. Kısa bir aranın ardından tekrardan birlikteyiz.","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/762430/5dacf0dc6b92f18587fa8da906df1b79/564x318_1"},"target":"_self","position":"1","reqid":"1765292074841816-4841365153512151269-balancer-l7leveler-kubr-yp-sas-246-BAL","summary":{"isFull":true,"fullTextUrl":"/video/result?ask_summarization=1&numdoc=1&noreask=1&nomisspell=1&parent-reqid=1765292074841816-4841365153512151269-balancer-l7leveler-kubr-yp-sas-246-BAL&text=videoid:13015874687605198384","teaser":[{"list":{"type":"unordered","items":["Bu video, bir matematik eğitim içeriğidir. Konuşmacı, tanjant üçgenin toplamının π olduğunu gösteren üç farklı çözüm yöntemini anlatmaktadır.","Video, tanjant 1 + tanjant 2 + tanjant 3 = π olduğunu gösteren üç farklı çözüm yöntemini adım adım açıklamaktadır. İlk çözüm cebirsel olarak, ikinci çözüm dik üçgenler kullanılarak, üçüncü çözüm ise analitik düzlem kullanılarak gösterilmektedir. Her çözüm yöntemi detaylı olarak çizimler ve açıklamalarla desteklenerek sunulmuştur."]},"endTime":477,"title":"Tanjant Üçgen Problemi Üç Farklı Çözümle","beginTime":0}],"fullResult":[{"index":0,"title":"Sorunun Tanıtımı","list":{"type":"unordered","items":["Video, artanjant 1, tanjant 2 ve tanjant 3 toplamının sorulduğu bir soruyu inceleyecek.","Sorunun üç farklı çözümü bulunmaktadır.","Sorunun sonucu bilindik bir sayı olarak çıkacaktır."]},"beginTime":0,"endTime":32,"href":"/video/preview/13015874687605198384?parent-reqid=1765292074841816-4841365153512151269-balancer-l7leveler-kubr-yp-sas-246-BAL&text=arstan11111&t=0&ask_summarization=1"},{"index":1,"title":"Cebirsel Çözüm","list":{"type":"unordered","items":["Artanjant 1, tanjant 2 ve tanjant 3 değerleri sırasıyla alfa, beta ve teta açılarıyla gösterilebilir.","1, 2 ve 3 sayıları toplandığında 6, çarpıldığında 6 olur ve bu durum bütünler açılar için geçerlidir.","Bütünler üç açının tanjantları toplamı, tanjantları çarpımına eşittir ve bu durumda alfa+beta+theta=π sonucuna ulaşılır."]},"beginTime":32,"endTime":149,"href":"/video/preview/13015874687605198384?parent-reqid=1765292074841816-4841365153512151269-balancer-l7leveler-kubr-yp-sas-246-BAL&text=arstan11111&t=32&ask_summarization=1"},{"index":2,"title":"Geometrik Çözüm","list":{"type":"unordered","items":["Dik üçgenlerden faydalanarak geometrik bir çözüm sunulmaktadır.","Bir dikdörtgen üçe ikiye ayrılarak birim kareler oluşturulur ve Pisagor teoremi kullanılarak dik açılar elde edilir.","Üçgende tanjant 1, tanjant 2 ve tanjant 3 değerleri kullanılarak bütünler açılar oluşturulur ve sonuç π olarak bulunur."]},"beginTime":149,"endTime":274,"href":"/video/preview/13015874687605198384?parent-reqid=1765292074841816-4841365153512151269-balancer-l7leveler-kubr-yp-sas-246-BAL&text=arstan11111&t=149&ask_summarization=1"},{"index":3,"title":"Analitik Çözüm","list":{"type":"unordered","items":["Analitik düzlem kullanılarak analitik bir ispat sunulmaktadır.","Orjin, 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In this video, we dive into the fascinating proof of the formula for arctan(x) + arctan(y), specifically focusing on the case where x * y less than 1. 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trigonometry problem...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3131974/297f5e62317803c9a3a6b82eeeef36b9/564x318_1"},"target":"_self","position":"9","reqid":"1765292074841816-4841365153512151269-balancer-l7leveler-kubr-yp-sas-246-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3D04mmkVb4rOk","linkTemplate":"/video/preview/10280614259606969339?parent-reqid=1765292074841816-4841365153512151269-balancer-l7leveler-kubr-yp-sas-246-BAL&text=arstan11111&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"arctan 1/3 + arctan 1/5 + arctan 1/7 + arctan 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The book on amazon: https://amzn.to/3nxZs5v ...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/4219909/72235592e67e1790ce3f8e6666b0798d/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/7cfKCQIAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"14","reqid":"1765292074841816-4841365153512151269-balancer-l7leveler-kubr-yp-sas-246-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DDqOm1fMshs0","linkTemplate":"/video/preview/16669568196271929624?parent-reqid=1765292074841816-4841365153512151269-balancer-l7leveler-kubr-yp-sas-246-BAL&text=arstan11111&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Derivative of f(x) = 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Hi, In this video I'll be proving a really surprising identity. Namely that arctan(1)+arctan(2)+arctan(3)=π. There are several proofs to this, but the one I'll be using is entirely....","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/4318720/5489fd6093b4fd3af92a96d8efd5d8a1/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/aqwQwwEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"19","reqid":"1765292074841816-4841365153512151269-balancer-l7leveler-kubr-yp-sas-246-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3D3b98zWU86L8","linkTemplate":"/video/preview/3545912977477082713?parent-reqid=1765292074841816-4841365153512151269-balancer-l7leveler-kubr-yp-sas-246-BAL&text=arstan11111&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"arctan(1) + arctan(2) + arctan(3) - A beautifully neat identity, which is as easy as 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