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fazlası için: http://www.khanacademy.org.tr Matematikten sanat tarihine, ekonomiden fen bilimlerine, basit toplamadan diferansiyel denklemlere, ilkokul seviyesinden üniversite seviyesine...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3637709/dbc8317cd716edd7f69ab612f919a7bf/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/4gsJLAAAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"6","reqid":"1769765852390801-15986293887754334020-balancer-l7leveler-kubr-yp-vla-74-BAL","summary":{"isFull":true,"fullTextUrl":"/video/result?ask_summarization=1&numdoc=1&noreask=1&nomisspell=1&parent-reqid=1769765852390801-15986293887754334020-balancer-l7leveler-kubr-yp-vla-74-BAL&text=videoid:15058870781717089742","teaser":[{"list":{"type":"unordered","items":["Bu video, bir matematik eğitim içeriğidir. Bir eğitmen, trigonometri konusunu anlatmaktadır.","Videoda, Pisagor teoremi kullanılarak dik üçgen oluşturulması ve kosinüs a+b özdeşliğinin uygulanması gösterilmektedir. Eğitmen önce ABC üçgeninin dik üçgen olduğunu ispatlar, ardından kosinüs a+b özdeşliğini kullanarak ABC açısı artı 60 derecenin kosinüsünü hesaplar. Video boyunca trigonometrik özdeşlikler (SKAH, KOKOH, TAKAKO) hatırlatılarak, 30-60-90 üçgeni kullanılarak kosinüs ve sinüs değerleri hesaplanır."]},"endTime":239,"title":"Trigonometri Dersi: Kosinüs A+B Özdeşliği","beginTime":0}],"fullResult":[{"index":0,"title":"Dik Üçgenin Özellikleri","list":{"type":"unordered","items":["ABC üçgeninin bir dik üçgen olduğu, Pisagor teoremini sağladığı için belirlenmiştir.","Pisagor teoremi: 8² + 15² = 289, 289'un karekökü 17'dir.","Dik açının ölçüsü 90 derecedir."]},"beginTime":0,"endTime":22,"href":"/video/preview/15058870781717089742?parent-reqid=1769765852390801-15986293887754334020-balancer-l7leveler-kubr-yp-vla-74-BAL&text=Kosinus+-+Topic&t=0&ask_summarization=1"},{"index":1,"title":"Trigonometrik Özdeşlik Kullanımı","list":{"type":"unordered","items":["ABC açısı artı 60 derecenin kosinüsü bulunması istenmektedir.","Kosinüs a+b özdeşliği: cos(a+b) = cos(a)cos(b) - sin(a)sin(b) kullanılarak çözüm yapılacaktır.","Özdeşlikte a yerine ABC açısı, b yerine 60 derece konulacaktır."]},"beginTime":22,"endTime":82,"href":"/video/preview/15058870781717089742?parent-reqid=1769765852390801-15986293887754334020-balancer-l7leveler-kubr-yp-vla-74-BAL&text=Kosinus+-+Topic&t=22&ask_summarization=1"},{"index":2,"title":"Trigonometrik Fonksiyonların Tanımları","list":{"type":"unordered","items":["Sinüs: karşı kenar bölü hipotenüs (SKAH kısaltması).","Kosinüs: komşu kenar bölü hipotenüs (KOKOH kısaltması).","Tanjant: karşı kenar bölü komşu kenar (TAKAKO kısaltması)."]},"beginTime":82,"endTime":104,"href":"/video/preview/15058870781717089742?parent-reqid=1769765852390801-15986293887754334020-balancer-l7leveler-kubr-yp-vla-74-BAL&text=Kosinus+-+Topic&t=82&ask_summarization=1"},{"index":3,"title":"Kosinüs Değerlerinin Hesaplanması","list":{"type":"unordered","items":["ABC açısının kosinüsü: komşu kenar bölü hipotenüs = 15/17.","60 derecenin kosinüsü: 30-60-90 üçgeninde komşu kenar bölü hipotenüs = 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İspatlar https://bit.ly/3fk3mP7 * YKS geometriye en temelden başlıyoruz, Ahmet Demir hocamızın kitabı ve bu video dersler ile geometride çok iyi olmamanız için hiçbir bir sebep...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/896539/c8844461db207fb0ecaeff6fd462ec91/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/mKjRXgAAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"8","reqid":"1769765852390801-15986293887754334020-balancer-l7leveler-kubr-yp-vla-74-BAL","summary":{"isFull":true,"fullTextUrl":"/video/result?ask_summarization=1&numdoc=1&noreask=1&nomisspell=1&parent-reqid=1769765852390801-15986293887754334020-balancer-l7leveler-kubr-yp-vla-74-BAL&text=videoid:12060769246012752597","teaser":[{"list":{"type":"unordered","items":["Bu video, Bora Arsentürk tarafından sunulan bir matematik dersidir. ","Videoda kosinüs toplam fark formülünün ispatı yapılmaktadır. Bora, önce formülün üçgen üzerinden nasıl elde edilebileceğini göstermekte, ardından kosinüs teoremini kullanarak formülün ispatını adım adım anlatmaktadır. Ayrıca, x+y'nin 180 dereceden küçük olması durumunda formülün nasıl elde edildiğini açıklamakta ve son olarak kosinüs x-y formülünün nasıl elde edileceğini göstermektedir. Video, sinüs toplam fark formülünün ispatına da referans vermektedir."]},"endTime":419,"title":"Kosinüs Toplam Fark Formülü İspatı","beginTime":0}],"fullResult":[{"index":0,"title":"Kosinüs Toplam Fark Formülü İspatı","list":{"type":"unordered","items":["Videoda kosinüs toplam fark formülünün ispatı yapılacak.","Kosinüs toplam formülü: kosinüs(x+y) = kosinüs x × kosinüs y - sinüs x × sinüs y.","x+y'nin 180'den küçük olduğu varsayılarak bir üçgen oluşturulabilir."]},"beginTime":5,"endTime":63,"href":"/video/preview/12060769246012752597?parent-reqid=1769765852390801-15986293887754334020-balancer-l7leveler-kubr-yp-vla-74-BAL&text=Kosinus+-+Topic&t=5&ask_summarization=1"},{"index":1,"title":"Üçgen ve Kosinüs Teoremi","list":{"type":"unordered","items":["Üçgende kosinüs teoremi kullanılarak a² = b² + c² - 2bc × kosinüs(x+y) yazılır.","Kosinüs(x+y) ifadesi yalnız bırakılarak kosinüs(x+y) = (b² + c² - a²) / 2bc elde edilir.","Üçgenin sığmadığı durumda da formül çalışır ve ispatı sinüs 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