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Bir öğretmen, kimyanın temel kanunları ve kimyasal hesaplamalar ünitesindeki katlı oranlar kanunu konusunu anlatmaktadır.","Videoda katlı oranlar kanununun John Dalton tarafından ortaya atıldığı, sabit oranlar kanunu ile arasındaki farklar ve hesaplanma yöntemleri detaylı olarak açıklanmaktadır. Öğretmen, karbon monoksit, karbondioksit, azot dioksit ve diazot pentaoksit gibi bileşikler üzerinden sayıca ve kütlece katlı oranların nasıl hesaplanacağını, bileşik formüllerinin nasıl bulunacağını ve katlı oranların hangi durumlarda kullanılabileceğini örneklerle göstermektedir.","Ders, 9. ve 10. sınıf öğrencileri için sayısal kimya konusunun en zorlarından biri olan katlı oranlar konusunu ele almaktadır. Ayrıca, katlı oranların hesaplanmasında dikkat edilmesi gereken üç temel kural (aynı tür atomlardan oluşması, iki tür element içermesi ve basit formüllerinin farklı olması) ve kütlece yüzdeleri ile ilgili yorum yapma teknikleri de anlatılmaktadır."]},"endTime":1820,"title":"Katlı Oranlar Kanunu Kimya Dersi","beginTime":0}],"fullResult":[{"index":0,"title":"Katlı Oranlar Kanunu Tanıtımı","list":{"type":"unordered","items":["Kimyanın temel kanunları ve kimyasal hesaplamalar ünitesinde üç ders olacak: kütlenin korunumu kanunu, sabit oranlar kanunu ve katlı oranlar kanunu.","Katlı oranlar kanunu, ilk bilimsel atom modelini ortaya atan John Dalton tarafından atfedilmiştir.","John Dalton, kimyager, meteorolog ve fizikçi olarak bilim dünyasına önemli katkılar sağlamıştır."]},"beginTime":0,"endTime":98,"href":"/video/preview/4370032380765812712?parent-reqid=1765321496810573-6038653808114555288-balancer-l7leveler-kubr-yp-klg-44-BAL&text=10ASLVJFSM&t=0&ask_summarization=1"},{"index":1,"title":"Katlı Oranlar Kanunu'nun Tanımı","list":{"type":"unordered","items":["Sabit oranlar kanunu, elementlerden oluşan bir bileşiğin elementlerin kütleleri arasında her zaman sabit bir oran olduğunu belirtir.","Katlı oranlar kanunu, aynı elementlerden oluşan iki farklı bileşiğin, bir elementin sayısını veya kütlesini eşitleyince diğer elementler arasındaki oranın sabit olduğunu ifade eder.","Aynı elementlerden oluşan iki bileşiğin, bir elementin sayısını veya kütlesini eşitleyince diğer elementler arasındaki oran her zaman sabit kalır."]},"beginTime":98,"endTime":146,"href":"/video/preview/4370032380765812712?parent-reqid=1765321496810573-6038653808114555288-balancer-l7leveler-kubr-yp-klg-44-BAL&text=10ASLVJFSM&t=98&ask_summarization=1"},{"index":2,"title":"Katlı Oranlar Kanunu Örneği","list":{"type":"unordered","items":["Azot dioksit (NO₂) ve diazot pentaoksit (N₂O₅) örneğinde, azot sayılarını eşitlemek için NO₂'yi 2 ile genişletiriz ve katlı oran olarak O₂/N₂O₅ = 4/5 oranını buluruz.","Aynı örnekte, oksijen sayılarını eşitlemek için genişletme yaparak azotlar arasındaki katlı oranın 5/4 olduğunu görürüz.","Katlı oranlar kütlece de hesaplanabilir; azot dioksit ve diazot pentaoksit örneğinde, azot kütlesini eşitleyerek oksijen kütleleri arasındaki katlı oranın 4/5 olduğunu buluruz."]},"beginTime":146,"endTime":387,"href":"/video/preview/4370032380765812712?parent-reqid=1765321496810573-6038653808114555288-balancer-l7leveler-kubr-yp-klg-44-BAL&text=10ASLVJFSM&t=146&ask_summarization=1"},{"index":3,"title":"Katlı Oranlar Kanunu'nun Temel Mantığı","list":{"type":"unordered","items":["Katlı oranlar kanununun temelinde, iki farklı elementten oluşan iki farklı bileşiğin, bir elementin sayısını veya kütlesini eşitleyince diğer elementler arasındaki oranın sabit çıkması mantığı yatmaktadır."]},"beginTime":387,"endTime":401,"href":"/video/preview/4370032380765812712?parent-reqid=1765321496810573-6038653808114555288-balancer-l7leveler-kubr-yp-klg-44-BAL&text=10ASLVJFSM&t=387&ask_summarization=1"},{"index":4,"title":"Katlı Oran Hesaplama","list":{"type":"unordered","items":["Karbon monoksit ve karbondioksit örneğinde, her karbon atomuna karşılık oksijen atomlarının sayısı farklıdır (karbon monoksitte 1, karbondioksitte 2).","Karbon miktarı aynı iken oksijenler arasındaki katlı oranı bulmak için, 12 gram karbon alındığında karbon monoksitte 16 gram, karbondioksitte 32 gram oksijen bulunur, oran 1/2'dir.","Katlı oran hesaplamalarında, aynı elementin miktarları eşitlenerek diğer elementler arasındaki oran bulunur."]},"beginTime":405,"endTime":480,"href":"/video/preview/4370032380765812712?parent-reqid=1765321496810573-6038653808114555288-balancer-l7leveler-kubr-yp-klg-44-BAL&text=10ASLVJFSM&t=405&ask_summarization=1"},{"index":5,"title":"Katlı Oran Problemleri","list":{"type":"unordered","items":["Katlı oran problemleri, 9. ve 10. sınıfta sayısal kimya konusunda sıkça karşılaşılan soru tipleridir.","Farklı elementlerden oluşan iki bileşik için katlı oran hesaplaması yapılırken, bir elementin miktarları eşitlenerek diğer elementler arasındaki oran bulunur.","Katlı oran problemlerinde, formüllerin doğru olup olmadığını kontrol etmek için katlı oranların eşitliği incelenir."]},"beginTime":480,"endTime":721,"href":"/video/preview/4370032380765812712?parent-reqid=1765321496810573-6038653808114555288-balancer-l7leveler-kubr-yp-klg-44-BAL&text=10ASLVJFSM&t=480&ask_summarization=1"},{"index":6,"title":"Kütle Oranları ile Katlı Oran","list":{"type":"unordered","items":["Elementlerin kütlesel oranları verildiğinde (örneğin A elementinin %40, B elementinin %60 olduğu bir bileşik), bu oranlar katlı oran hesaplamalarında kullanılır.","Katlı oran hesaplamasında, aynı elementin miktarları eşitlenerek diğer elementler arasındaki oran bulunur.","Elementlerin kütlesel oranları verildiğinde, oranlar sadeleştirilerek katlı oran hesaplaması yapılır."]},"beginTime":721,"endTime":874,"href":"/video/preview/4370032380765812712?parent-reqid=1765321496810573-6038653808114555288-balancer-l7leveler-kubr-yp-klg-44-BAL&text=10ASLVJFSM&t=721&ask_summarization=1"},{"index":7,"title":"Grafik Soruları","list":{"type":"unordered","items":["Karbon ve hidrojen elementlerinin oluşturduğu iki farklı bileşik için elementlerin birleşen kütleleri grafikte verilebilir.","Grafik sorularında, aynı miktar karbon ile birleşen hidrojen miktarları arasındaki katlı oran hesaplanabilir.","Örneğin, grafikte iki gram hidrojene karşılık birinci bileşikte 18 gram karbon, ikinci bileşikte 12 gram karbon olduğu görülebilir."]},"beginTime":874,"endTime":915,"href":"/video/preview/4370032380765812712?parent-reqid=1765321496810573-6038653808114555288-balancer-l7leveler-kubr-yp-klg-44-BAL&text=10ASLVJFSM&t=874&ask_summarization=1"},{"index":8,"title":"Katlı Oran Hesaplama","list":{"type":"unordered","items":["Karbonlar arasındaki katlı oran 18/12 olarak hesaplanır ve 6 ile sadeleştirildiğinde 3/2 olarak bulunur.","Karbonlar arasındaki katlı oranın çarpmaya göre tersi, aynı miktar karbon ile birleşen hidrojenler arasındaki oranı verir, bu 2/3'tür.","Bir bileşim formülü C₃H₄ verildiğinde, ikinci bileşim formülü CxHy olarak gösterilir ve katlı oran kullanılarak C₂H₃ basit formülü bulunur."]},"beginTime":918,"endTime":1062,"href":"/video/preview/4370032380765812712?parent-reqid=1765321496810573-6038653808114555288-balancer-l7leveler-kubr-yp-klg-44-BAL&text=10ASLVJFSM&t=918&ask_summarization=1"},{"index":9,"title":"Katlı Oran Problemleri","list":{"type":"unordered","items":["Katlı oranlar kanunu, aynı elementlerden oluşan farklı iki bileşik arasındaki oranları bulmamızı sağlar.","X₂Y₄ bileşiğinde Y'nin kütle oranı %25 olduğundan, X'in atom kütlesinin Y'nin atom kütlesinin 12 katı olduğu hesaplanır.","X₂Y₄ bileşiğinde her 6 gram X ile 1 gram Y birleşerek 7 gram bileşik oluşur, bu bilgiyle 14 gramlık bileşiğin içinde 12 gram X elementi vardır."]},"beginTime":1062,"endTime":1243,"href":"/video/preview/4370032380765812712?parent-reqid=1765321496810573-6038653808114555288-balancer-l7leveler-kubr-yp-klg-44-BAL&text=10ASLVJFSM&t=1062&ask_summarization=1"},{"index":10,"title":"Katlı Oran Kullanım Kuralları","list":{"type":"unordered","items":["Katlı orana bakabilmek için iki bileşik aynı tür atomlardan oluşmalı ve sadece iki tür element içermelidir.","Katlı oranı 1 bulunduğunda, iki bileşik arasında katlı orana bakılmaz çünkü basit formülleri aynı olan bileşikler arasında katlı orana bakılmaz.","X₂ bileşiğinin kütlece %50'si X elementinden oluştuğundan, X₃Y₄ bileşiğinde her 3 gram X ile 2 gram Y birleşerek 5 gram bileşik oluşur."]},"beginTime":1243,"endTime":1485,"href":"/video/preview/4370032380765812712?parent-reqid=1765321496810573-6038653808114555288-balancer-l7leveler-kubr-yp-klg-44-BAL&text=10ASLVJFSM&t=1243&ask_summarization=1"},{"index":11,"title":"Katlı Oranlar Kanunu ve Uygulamaları","list":{"type":"unordered","items":["Katlı oranlar kanunu, aynı tür elementten oluşan iki farklı bileşiğin basit formüllerinin birbirinden farklı olması durumunda geçerlidir.","Katlı oranlar kanunu, aynı elementlerden birinin kütlesini ve sayısını eşit aldığımızda, diğer elementlerin kütleleri veya sayıları arasındaki orana dayanır.","Kütlece yüzdeleri ile ilgili yorum yaparken, katlı oranlar üzerinden basit formüllerin karbonları eşitlenerek hidrojenler arasındaki ilişkiyi inceleyebiliriz."]},"beginTime":1488,"endTime":1653,"href":"/video/preview/4370032380765812712?parent-reqid=1765321496810573-6038653808114555288-balancer-l7leveler-kubr-yp-klg-44-BAL&text=10ASLVJFSM&t=1488&ask_summarization=1"},{"index":12,"title":"Ödevlendirme ve Çalışma Planı","list":{"type":"unordered","items":["Ödevlendirme için öncelikle \"Sıfırdan Ona Kimya\" kitabından katlı oranlar kanunu bölümündeki onaltı sayfayı çalışacağız.","\"Sıfırdan Ona Kimya\" kitabında katlı oranlar kanunu genel bilgileri ve altı soru bulunuyor, ardından kimyanın temel kanunları genel hatlarıyla hatırlatıcı oniki soru geliyor.","\"Dinamo 10. Sınıf\" kitabından ise katlı oranlar kanunu bölümündeki onyedi sayfayı çalışacağız, bu bölümde çözümlü örnekler ve sorular ile tarama testleri bulunmaktadır."]},"beginTime":1653,"endTime":1805,"href":"/video/preview/4370032380765812712?parent-reqid=1765321496810573-6038653808114555288-balancer-l7leveler-kubr-yp-klg-44-BAL&text=10ASLVJFSM&t=1653&ask_summarization=1"}],"linkTemplate":"/video/preview/4370032380765812712?parent-reqid=1765321496810573-6038653808114555288-balancer-l7leveler-kubr-yp-klg-44-BAL&text=10ASLVJFSM&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Katlı Oranlar Kanunu | 10. 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İçerik, 30°, 45° ve 60° derecelik açıların trigonometrik oranlarının hesaplanmasıyla başlayıp, birim çember üzerinde bu açıların koordinatlarının gösterilmesi, geniş açılarda trigonometrik değerlerin işaretlerinin açıklanması ve son olarak yönlü açıların pozitif ve negatif olma durumlarının anlatılmasıyla devam etmektedir.","Videoda ayrıca otomobil satıcısının otopark problemi, yolun eğimi hesaplaması ve iş hesaplaması gibi pratik uygulamalar da yer almaktadır. Öğretmen, teorik bilgileri örnek sorular üzerinden pekiştirmekte ve öğrencilerin kendi cevaplarını yazmaları için fırsat tanımaktadır."]},"endTime":2573,"title":"13. Sınıf Matematik: Trigonometri Dersi","beginTime":0}],"fullResult":[{"index":0,"title":"30, 45 ve 60 derecelik açıların trigonometrik oranları","list":{"type":"unordered","items":["13. sınıf matematik ders kitabının sayfa 22'sinde ölçüleri 30 derece, 45 derece ve 60 derece olan açıların trigonometrik oranları incelenecek.","Bir kenar uzunluğu 2 santimetre olan bir eşkenar üçgen çizilerek, BC kenarının orta noktası H olarak isimlendirilip A noktası ile birleştiriliyor.","Eşkenar üçgende kenarortay aynı zamanda açıortay ve yükseklik olduğu için, BHA üçgeninde ABH açısı 60 derece, BH açısı 30 derece oluyor."]},"beginTime":3,"endTime":119,"href":"/video/preview/12411437810719719290?parent-reqid=1765321496810573-6038653808114555288-balancer-l7leveler-kubr-yp-klg-44-BAL&text=10ASLVJFSM&t=3&ask_summarization=1"},{"index":1,"title":"30 derecelik açının trigonometrik oranları","list":{"type":"unordered","items":["AB uzunluğu 2 birim, BH uzunluğu 1 birim olarak belirleniyor.","Yükseklik AH uzunluğu Pisagor teoremiyle hesaplanarak √3 birim olarak bulunuyor.","30 derecelik açının sinüsü 1/2, kosinüsü √3/2, tanjantı √3/3, kotanjantı √3 olarak hesaplanıyor."]},"beginTime":119,"endTime":256,"href":"/video/preview/12411437810719719290?parent-reqid=1765321496810573-6038653808114555288-balancer-l7leveler-kubr-yp-klg-44-BAL&text=10ASLVJFSM&t=119&ask_summarization=1"},{"index":2,"title":"60 derecelik açının trigonometrik oranları","list":{"type":"unordered","items":["ABH açısının sinüsü √3/2, kosinüsü 1/2, tanjantı √3, kotanjantı 1/√3 olarak hesaplanıyor.","30, 60 ve 45 derecelik açıların trigonometrik oranları bulunmuş oluyor.","Bu oranlar tablolaştırılıp deftere yazılması öneriliyor çünkü fizik ve geometride sıkça kullanılıyor."]},"beginTime":256,"endTime":312,"href":"/video/preview/12411437810719719290?parent-reqid=1765321496810573-6038653808114555288-balancer-l7leveler-kubr-yp-klg-44-BAL&text=10ASLVJFSM&t=256&ask_summarization=1"},{"index":3,"title":"45 derecelik açının trigonometrik oranları","list":{"type":"unordered","items":["Bir kenarı 3 santimetre olan ikizkenar dik üçgen çiziliyor ve hipotenüs 3√2 birim olarak bulunuyor.","BCA açısının sinüsü 1/√2, kosinüsü 1/√2, tanjantı 1, kotanjantı 1 olarak hesaplanıyor.","45 derecelik açının trigonometrik oranları da bulunmuş oluyor."]},"beginTime":312,"endTime":464,"href":"/video/preview/12411437810719719290?parent-reqid=1765321496810573-6038653808114555288-balancer-l7leveler-kubr-yp-klg-44-BAL&text=10ASLVJFSM&t=312&ask_summarization=1"},{"index":4,"title":"Trigonometrik oranların özellikleri","list":{"type":"unordered","items":["Toplamları 90 derece olan açıların sinüsleri, kosinüsleri veya tanjant kotanjantı birbirine eşit oluyor.","45 derecelik açının sinüsü, kosinüsü, tanjantı ve kotanjantı birbirine eşit oluyor.","Bu oranlar tabloda çapraz olarak birbirine eşit olarak gösteriliyor."]},"beginTime":464,"endTime":493,"href":"/video/preview/12411437810719719290?parent-reqid=1765321496810573-6038653808114555288-balancer-l7leveler-kubr-yp-klg-44-BAL&text=10ASLVJFSM&t=464&ask_summarization=1"},{"index":5,"title":"Otopark problemi","list":{"type":"unordered","items":["Bir otomobil satıcısının her aracı park etmek için 2 metre genişliğe ihtiyacı var ve kaldırım ile 30 derecelik açı yapacak şekilde otopark çizgileri çizmiş.","Bu şekilde en fazla 15 aracını park edebilmiştir.","Otopark çizgileri kaldırımla 60 derecelik açı yapacak şekilde çizilirse, aynı park yerine en fazla 25 araç park edilebileceği hesaplanıyor."]},"beginTime":493,"endTime":642,"href":"/video/preview/12411437810719719290?parent-reqid=1765321496810573-6038653808114555288-balancer-l7leveler-kubr-yp-klg-44-BAL&text=10ASLVJFSM&t=493&ask_summarization=1"},{"index":6,"title":"Farklı açılarla otopark problemi","list":{"type":"unordered","items":["Otopark çizgileri ile 45 derecelik açı olursa en fazla 21 araç sığar.","Problemin çözümü bu şekilde bitiriliyor.","Dördüncü uygulamada trigonometrik oranların birbiri türünden ifadesi incelenecek."]},"beginTime":642,"endTime":733,"href":"/video/preview/12411437810719719290?parent-reqid=1765321496810573-6038653808114555288-balancer-l7leveler-kubr-yp-klg-44-BAL&text=10ASLVJFSM&t=642&ask_summarization=1"},{"index":7,"title":"Hipotenüsü Bir Birim Olan Dik Üçgende Trigonometrik Oranlar","list":{"type":"unordered","items":["Hipotenüsü bir birim olan dik üçgende, karşı dik kenar sinüs x, komşu dik kenar kosinüs x olarak ifade edilir.","Tanjant x, sinüs x bölü kosinüs x; kotanjant x ise kosinüs x bölü sinüs x olarak hesaplanır.","Hipotenüsü bir birim olan dik üçgende dik kenar uzunlukları doğrudan trigonometrik oranlara eşittir."]},"beginTime":745,"endTime":952,"href":"/video/preview/12411437810719719290?parent-reqid=1765321496810573-6038653808114555288-balancer-l7leveler-kubr-yp-klg-44-BAL&text=10ASLVJFSM&t=745&ask_summarization=1"},{"index":8,"title":"Trigonometrik Oranların Uygulamaları","list":{"type":"unordered","items":["Sinüs ve kosinüs değerleri verilen açıların tanjant ve kotanjant değerleri, tanjant = sinüs x bölü kosinüs x ve kotanjant = kosinüs x bölü sinüs x formülleriyle hesaplanır.","Yolun eğimi, yükseklik farkının yatay uzunluğa oranı ile bulunur ve tanjant alfa formülü ile hesaplanır.","Eğim yüzdesi, tanjant alfa değeri ile 100'ün çarpımıdır."]},"beginTime":952,"endTime":1298,"href":"/video/preview/12411437810719719290?parent-reqid=1765321496810573-6038653808114555288-balancer-l7leveler-kubr-yp-klg-44-BAL&text=10ASLVJFSM&t=952&ask_summarization=1"},{"index":9,"title":"Birim Çember ve Trigonometrik Oranlar","list":{"type":"unordered","items":["Merkezi orijin ve yarıçapı bir birim olan çember, birim çember olarak adlandırılır.","Birim çemberde bir açının kosinüs değeri, x ekseni üzerindeki izdüşümüne; sinüs değeri ise y ekseni üzerindeki izdüşümüne eşittir.","Birim çemberde dar açılar ve geniş açılar çizilerek trigonometrik değerlerin hesaplanması gösterilmiştir."]},"beginTime":1298,"endTime":1534,"href":"/video/preview/12411437810719719290?parent-reqid=1765321496810573-6038653808114555288-balancer-l7leveler-kubr-yp-klg-44-BAL&text=10ASLVJFSM&t=1298&ask_summarization=1"},{"index":10,"title":"Birim Çemberde Trigonometrik Değerler","list":{"type":"unordered","items":["Birim çemberde x ekseni sinüs ekseni, y ekseni ise kosinüs ekseni olarak adlandırılır.","30, 45 ve 60 derecelik açıların birim çember üzerindeki koordinatları, dik üçgenlerde bulunan değerlerle hesaplanır.","30 derecelik açının koordinatları (1/2, √3/2), 45 derecelik açının koordinatları (√2/2, √2/2), 60 derecelik açının koordinatları (1/2, √3/2) olarak bulunur."]},"beginTime":1546,"endTime":1674,"href":"/video/preview/12411437810719719290?parent-reqid=1765321496810573-6038653808114555288-balancer-l7leveler-kubr-yp-klg-44-BAL&text=10ASLVJFSM&t=1546&ask_summarization=1"},{"index":11,"title":"Birim Çemberde Sinüs ve Kosinüs İlişkisi","list":{"type":"unordered","items":["Birim çemberde bir noktanın koordinatları (x, y) şeklinde yazılır ve x ekseni sinüs değerini, y ekseni ise kosinüs değerini verir.","45 derecelik açının kosinüs değeri 1/√2, sinüs değeri 1/√2'dir.","60 derecelik açının kosinüs değeri 1/2, sinüs değeri √3/2'dir."]},"beginTime":1674,"endTime":1778,"href":"/video/preview/12411437810719719290?parent-reqid=1765321496810573-6038653808114555288-balancer-l7leveler-kubr-yp-klg-44-BAL&text=10ASLVJFSM&t=1674&ask_summarization=1"},{"index":12,"title":"Geniş Açılarda Trigonometrik Değerler","list":{"type":"unordered","items":["Geniş açılarda x ekseni sol tarafta negatif, y ekseni aşağıda negatif değer alır.","135 derecelik açının koordinatları (-√2/2, √2/2), 150 derecelik açının koordinatları (-√3/2, 1/2) olarak bulunur.","90 ile 180 derece arasındaki geniş açıların kosinüsü negatif, sinüsü pozitiftir."]},"beginTime":1778,"endTime":1971,"href":"/video/preview/12411437810719719290?parent-reqid=1765321496810573-6038653808114555288-balancer-l7leveler-kubr-yp-klg-44-BAL&text=10ASLVJFSM&t=1778&ask_summarization=1"},{"index":13,"title":"İş Hesaplama Problemi","list":{"type":"unordered","items":["İş formülü W = F × d × cosθ kullanılarak hesaplanır.","Pozitif iş sisteme enerji yüklenirken, negatif iş sistemden enerji çekilir.","60 Newton kuvvetle 4 metre hareket ettirilen bir kutunun yaptığı iş -120 joule olarak bulunur ve sistemden enerji çekilmiştir."]},"beginTime":1971,"endTime":2110,"href":"/video/preview/12411437810719719290?parent-reqid=1765321496810573-6038653808114555288-balancer-l7leveler-kubr-yp-klg-44-BAL&text=10ASLVJFSM&t=1971&ask_summarization=1"},{"index":14,"title":"Dik Üçgenlerde Trigonometrik Oranlar","list":{"type":"unordered","items":["Benzer dik üçgenlerde kenar uzunlukları trigonometrik oranlar cinsinden ifade edilebilir.","Sinüs x = karşı/hipotenüs, kosinüs x = komşu/hipotenüs formülleri kullanılarak kenar uzunlukları hesaplanır.","sin²x + cos²x = 1 özdeşliği kullanılarak trigonometrik ifadelerin değerleri bulunabilir."]},"beginTime":2110,"endTime":2356,"href":"/video/preview/12411437810719719290?parent-reqid=1765321496810573-6038653808114555288-balancer-l7leveler-kubr-yp-klg-44-BAL&text=10ASLVJFSM&t=2110&ask_summarization=1"},{"index":15,"title":"Yönlü Açılar","list":{"type":"unordered","items":["Bir ışın orijine merkez alarak saat yönünün tersine dönerse pozitif yönlü açı, saat yönünde dönerse negatif yönlü açı olarak adlandırılır.","Açıların yönü, başlangıç noktası olan A noktasından itibaren saat yönünün tersine veya yönünde ilerleyerek belirlenir.","B açısı saat yönünün tersine ilerlediği için pozitif yönlü, C açısı saat yönünde ilerlediği için negatif yönlüdür."]},"beginTime":2366,"endTime":2446,"href":"/video/preview/12411437810719719290?parent-reqid=1765321496810573-6038653808114555288-balancer-l7leveler-kubr-yp-klg-44-BAL&text=10ASLVJFSM&t=2366&ask_summarization=1"},{"index":16,"title":"Birim Çemberde Açılar","list":{"type":"unordered","items":["Birim çemberde orta köşesi orijin, ortak kolları ışını olan dört farklı açının diğer kollarının birim çemberi kestiği noktalar K, R, M ve N'dir.","70 derecelik açı pozitif yönlü, 130 derecelik açı pozitif yönlü, -40 derecelik açı negatif yönlü, -150 derecelik açı negatif yönlüdür.","Performans görevi bir sonraki içerikte 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