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İlk olarak fonksiyonların grafiklerinin eksenleri kestiği noktalar, artan, azalan ve sabit olduğu aralıklar, maksimum ve minimum değerler ve ortalama değişim hızı gibi temel kavramlar örneklerle açıklanmaktadır. Daha sonra fonksiyonların değişim hızı hesaplamaları adım adım gösterilmekte, doğrusal fonksiyonlarda değişim hızının eğime eşit olduğu vurgulanmaktadır.","Videoda günlük hayattan örnekler de kullanılmaktadır. Ankara'nın ilk yarısındaki yağış miktarları ve koronavirüs vaka sayılarının haftalık seyri gibi gerçek hayat problemleri üzerinden değişim hızı hesaplamaları yapılmaktadır. Ayrıca ikinci dereceden fonksiyonların grafikleri, parabolün tepe noktası, parabol ile doğrunun durumları, tek ve çift fonksiyonlar ve öteleme-simetri dönüşümleri gibi konuların da işleneceği belirtilmektedir."]},"endTime":2674,"title":"11. Sınıf Matematik Dersi: Fonksiyonlar ve Değişim Hızı","beginTime":0}],"fullResult":[{"index":0,"title":"11. Sınıf Matematik Dersi Fonksiyonlar Fasikülü","list":{"type":"unordered","items":["Matematik öğretmeni Hatice Karakaya, 11. sınıf matematik dersinin üçüncü fasikülünde fonksiyonlar konusunu ele alıyor.","Fasikülde fonksiyonlarda uygulamalar, ikinci dereceden fonksiyonun grafiği, parabolün eksenleri kestiği noktaları ve tepe noktası, tek ve çift fonksiyonlar, öteleme ve simetri dönüşümleri konuları işlenecek.","Konular arasında bol soru çözümlü örnekler ve testler de yer alacak."]},"beginTime":0,"endTime":46,"href":"/video/preview/3930490829227597577?parent-reqid=1765133157884761-6825164348825400032-balancer-l7leveler-kubr-yp-vla-122-BAL&text=Yar%C4%B1%C3%A7ap+Yay%C4%B1nlar%C4%B1&t=0&ask_summarization=1"},{"index":1,"title":"Fonksiyonlarda Uygulamalar","list":{"type":"unordered","items":["Fonksiyonlarda uygulamalar konusunda fonksiyonun grafiği kestiği noktalar, artan, azalan ya da sabit olduğu aralıklar, maksimum ve minimum değerler, fonksiyonun ortalama değişim hızı incelenecek.","Bir fonksiyonun x eksenini kestiği noktaları bulmak için y'yi sıfır, y eksenini kestiği noktaları bulmak için x'i sıfır olarak yazılır.","Fonksiyonun x eksenini kestiği noktalar, denklemin kökleridir."]},"beginTime":46,"endTime":65,"href":"/video/preview/3930490829227597577?parent-reqid=1765133157884761-6825164348825400032-balancer-l7leveler-kubr-yp-vla-122-BAL&text=Yar%C4%B1%C3%A7ap+Yay%C4%B1nlar%C4%B1&t=46&ask_summarization=1"},{"index":2,"title":"Fonksiyonun Eksenleri Kestiği Noktalar","list":{"type":"unordered","items":["Fonksiyonun x eksenini kestiği noktaları bulmak için y'yi sıfır, y eksenini kestiği noktaları bulmak için x'i sıfır olarak yazılır.","Örneğin, f(x) = 2x - 3 fonksiyonunda x eksenini kestiği nokta (3/2, 0) ve y eksenini kestiği nokta (0, -3) olarak bulunur.","Fonksiyonun grafiği x eksenini kestiği noktalar, denklemin kökleridir."]},"beginTime":65,"endTime":499,"href":"/video/preview/3930490829227597577?parent-reqid=1765133157884761-6825164348825400032-balancer-l7leveler-kubr-yp-vla-122-BAL&text=Yar%C4%B1%C3%A7ap+Yay%C4%B1nlar%C4%B1&t=65&ask_summarization=1"},{"index":3,"title":"Fonksiyonun Artan, Azalan ve Sabit Olduğu Aralıklar","list":{"type":"unordered","items":["Bir fonksiyonun artan olduğu aralıkta, x₁ \u003c x₂ iken f(x₁) \u003c f(x₂) eşitsizliği korunur.","Bir fonksiyonun azalan olduğu aralıkta, x₁ \u003c x₂ iken f(x₁) > f(x₂) eşitsizliği korunur.","Bir fonksiyonun sabit olduğu aralıkta, x₁ \u003c x₂ iken f(x₁) = f(x₂) eşitliği sağlanır."]},"beginTime":499,"endTime":667,"href":"/video/preview/3930490829227597577?parent-reqid=1765133157884761-6825164348825400032-balancer-l7leveler-kubr-yp-vla-122-BAL&text=Yar%C4%B1%C3%A7ap+Yay%C4%B1nlar%C4%B1&t=499&ask_summarization=1"},{"index":4,"title":"Fonksiyonların Artan, Azalan ve Sabit Aralıkları","list":{"type":"unordered","items":["Fonksiyonun azalan aralıkları, x değeri artarken görüntü değeri azalan aralıklardır.","Fonksiyonun sabit olduğu aralıklar, fonksiyonun o aralıkta hep aynı değerleri aldığı aralıklardır.","Fonksiyonun artan aralıkları, x değeri artarken görüntü değeri artan aralıklardır."]},"beginTime":674,"endTime":856,"href":"/video/preview/3930490829227597577?parent-reqid=1765133157884761-6825164348825400032-balancer-l7leveler-kubr-yp-vla-122-BAL&text=Yar%C4%B1%C3%A7ap+Yay%C4%B1nlar%C4%B1&t=674&ask_summarization=1"},{"index":5,"title":"Fonksiyonların Pozitif, Negatif ve Sıfır Aralıkları","list":{"type":"unordered","items":["Fonksiyonun pozitif değer aldığı aralıklar, x ekseninin üstünde kalan bölgelerdir (1. ve 2. bölgeler).","Fonksiyonun negatif değer aldığı aralıklar, x ekseninin altında kalan bölgelerdir (3. ve 4. bölgeler).","Fonksiyonun sıfırları, x eksenini kestiği noktalardır."]},"beginTime":856,"endTime":1047,"href":"/video/preview/3930490829227597577?parent-reqid=1765133157884761-6825164348825400032-balancer-l7leveler-kubr-yp-vla-122-BAL&text=Yar%C4%B1%C3%A7ap+Yay%C4%B1nlar%C4%B1&t=856&ask_summarization=1"},{"index":6,"title":"Örnek Problemler","list":{"type":"unordered","items":["Fonksiyonun pozitif değer aldığı aralıklar, x ekseninin üstünde kalan bölgelerdir.","Fonksiyonun negatif değer aldığı aralıklar, x ekseninin altında kalan bölgelerdir.","Fonksiyonun sıfırları, x eksenini kestiği noktalardır.","İki fonksiyonun ortak sıfırları, her iki fonksiyonun da x eksenini kestiği noktalardır."]},"beginTime":1047,"endTime":1286,"href":"/video/preview/3930490829227597577?parent-reqid=1765133157884761-6825164348825400032-balancer-l7leveler-kubr-yp-vla-122-BAL&text=Yar%C4%B1%C3%A7ap+Yay%C4%B1nlar%C4%B1&t=1047&ask_summarization=1"},{"index":7,"title":"Fonksiyonların Maksimum ve Minimum Değerleri","list":{"type":"unordered","items":["Fonksiyonun maksimum değeri, aldığı en büyük değerdir; minimum değeri ise aldığı en küçük değerdir.","Fonksiyonun maksimum ve minimum değerlerini bulmak için grafiğin alt ve üst sınırlarına bakılır.","Eğer bir fonksiyonun grafiğinde herhangi bir üst veya alt sınırı yoksa, o fonksiyonun maksimum veya minimum değeri yoktur."]},"beginTime":1288,"endTime":1388,"href":"/video/preview/3930490829227597577?parent-reqid=1765133157884761-6825164348825400032-balancer-l7leveler-kubr-yp-vla-122-BAL&text=Yar%C4%B1%C3%A7ap+Yay%C4%B1nlar%C4%B1&t=1288&ask_summarization=1"},{"index":8,"title":"Fonksiyon Örnekleri","list":{"type":"unordered","items":["Fonksiyonun tanım kümesi, x eksenindeki başlangıç ve bitiş noktalarını gösterir; kapalı aralıkta ise uç noktalar dahil edilir.","Görüntü kümesi, y ekseninde gösterilir ve fonksiyonun aldığı en küçük ve en büyük değerleri içerir.","Fonksiyonun sıfırları, x eksenini kestiği noktalardır."]},"beginTime":1388,"endTime":1639,"href":"/video/preview/3930490829227597577?parent-reqid=1765133157884761-6825164348825400032-balancer-l7leveler-kubr-yp-vla-122-BAL&text=Yar%C4%B1%C3%A7ap+Yay%C4%B1nlar%C4%B1&t=1388&ask_summarization=1"},{"index":9,"title":"Fonksiyonun Ortalama Değişim Hızı","list":{"type":"unordered","items":["Fonksiyonun ortalama değişim hızı, iki nokta arasındaki ordinatların farkının apsislerin farkına bölünmesiyle bulunur.","Doğrusal fonksiyonlarda (f(x) = ax + b), her aralıkta fonksiyonun değişim oranı sabittir ve bu oran eğime eşittir.","Doğrusal fonksiyonlarda, değişim hızı doğrudan eğime eşittir, bu nedenle hesaplamaya gerek kalmaz."]},"beginTime":1639,"endTime":1867,"href":"/video/preview/3930490829227597577?parent-reqid=1765133157884761-6825164348825400032-balancer-l7leveler-kubr-yp-vla-122-BAL&text=Yar%C4%B1%C3%A7ap+Yay%C4%B1nlar%C4%B1&t=1639&ask_summarization=1"},{"index":10,"title":"Fonksiyonların Ortalama Değişim Hızı","list":{"type":"unordered","items":["f(x) = x² fonksiyonunda [1,3] aralığındaki ortalama değişim hızı, f(2) - f(1) / (2-1) formülüyle 4 olarak bulunur.","Fonksiyonun grafiği verildiğinde, belirli aralıklardaki ortalama değişim hızı, aralıktaki iki noktanın fonksiyon değerlerinin farkının aralık uzunluğuna bölünmesiyle hesaplanır.","Ankara iline yılın ilk yarısına düşen yağış miktarları tablosundan, Ocak-Haziran ayları arasındaki aylık yağış miktarının değişim hızı -1 olarak bulunur."]},"beginTime":1869,"endTime":2215,"href":"/video/preview/3930490829227597577?parent-reqid=1765133157884761-6825164348825400032-balancer-l7leveler-kubr-yp-vla-122-BAL&text=Yar%C4%B1%C3%A7ap+Yay%C4%B1nlar%C4%B1&t=1869&ask_summarization=1"},{"index":11,"title":"Doğrusal Fonksiyonlarda Değişim Oranı","list":{"type":"unordered","items":["Doğrusal fonksiyonlarda değişim oranı sabittir ve aynı zamanda doğrunun eğimine eşittir.","Doğrusal fonksiyonun biçimi f(x) = ax + b şeklindedir ve değişim oranı a'dır.","y = 1/2x - 7 doğrusal fonksiyonunun değişim oranı 1/2'dir, y = -3x + x + 5 doğrusal fonksiyonunun değişim oranı ise -3'tür."]},"beginTime":2215,"endTime":2314,"href":"/video/preview/3930490829227597577?parent-reqid=1765133157884761-6825164348825400032-balancer-l7leveler-kubr-yp-vla-122-BAL&text=Yar%C4%B1%C3%A7ap+Yay%C4%B1nlar%C4%B1&t=2215&ask_summarization=1"},{"index":12,"title":"Değişim Hızı Problemleri","list":{"type":"unordered","items":["Birinci öncülde, birinci ve ikinci haftalar arasındaki değişim hızının iki ve dördüncü haftalar arasındaki değişim hızından büyük olduğu belirtiliyor.","Birinci ve ikinci haftalar arasındaki değişim hızı 3000 olarak hesaplanırken, iki ve dördüncü haftalar arasındaki değişim hızı 500 olarak bulunuyor.","İkinci öncülde, dört ve beş haftalar arasındaki değişim hızının sıfır olduğu, çünkü bu haftalar aynı değerleri alıyor."]},"beginTime":2321,"endTime":2464,"href":"/video/preview/3930490829227597577?parent-reqid=1765133157884761-6825164348825400032-balancer-l7leveler-kubr-yp-vla-122-BAL&text=Yar%C4%B1%C3%A7ap+Yay%C4%B1nlar%C4%B1&t=2321&ask_summarization=1"},{"index":13,"title":"Diğer Değişim Hızı Problemleri","list":{"type":"unordered","items":["Üçüncü öncülde, beş ve altı haftalar arası vaka değişim hızının eksi üç olduğu belirtiliyor.","Beş ve altı haftalar arasındaki değişim hızı eksi üç olarak hesaplanıyor.","Üç öncül de doğrudur."]},"beginTime":2464,"endTime":2541,"href":"/video/preview/3930490829227597577?parent-reqid=1765133157884761-6825164348825400032-balancer-l7leveler-kubr-yp-vla-122-BAL&text=Yar%C4%B1%C3%A7ap+Yay%C4%B1nlar%C4%B1&t=2464&ask_summarization=1"},{"index":14,"title":"Fonksiyon Değerleri ve Değişim Hızı","list":{"type":"unordered","items":["Son örnekte, y=f(x) fonksiyonunda eksi iki ile üç aralığındaki ortalama değişim hızının üç olduğu veriliyor.","Eksi iki ile üç aralığındaki değişim hızı hesaplanarak a değeri 21 olarak bulunuyor.","Eksi bir ile beş aralığındaki ortalama değişim hızı 2 olarak hesaplanıyor."]},"beginTime":2541,"endTime":2663,"href":"/video/preview/3930490829227597577?parent-reqid=1765133157884761-6825164348825400032-balancer-l7leveler-kubr-yp-vla-122-BAL&text=Yar%C4%B1%C3%A7ap+Yay%C4%B1nlar%C4%B1&t=2541&ask_summarization=1"}],"linkTemplate":"/video/preview/3930490829227597577?parent-reqid=1765133157884761-6825164348825400032-balancer-l7leveler-kubr-yp-vla-122-BAL&text=Yar%C4%B1%C3%A7ap+Yay%C4%B1nlar%C4%B1&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Yarıçap Yayınları - 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İçerikte birim çember tanımı yapılarak sinüs ve kosinüs fonksiyonlarının birim çember üzerindeki gösterimi, tanım aralıkları ve değer aralıkları açıklanmaktadır. Daha sonra tanjant, kotanjant, sekant ve kosekant fonksiyonlarının birim çember üzerindeki gösterimleri, değer aralıkları ve tanımsız olduğu durumlar anlatılmaktadır. Son bölümde ise trigonometrik fonksiyonların dört bölgedeki işaretleri detaylı şekilde ele alınmaktadır.","Video boyunca eğitmen, teorik bilgileri vererek her konuyu örneklerle pekiştirmekte ve trigonometrik fonksiyonların işaretlerini belirleme yöntemlerini adım adım göstermektedir. Ayrıca tümler açılar kavramı da videoda ele alınan konular arasındadır."]},"endTime":2052,"title":"Trigonometri Dersi: Birim Çember ve Fonksiyonlar","beginTime":0}],"fullResult":[{"index":0,"title":"Trigonometrik Fonksiyonlar Konusuna Giriş","list":{"type":"unordered","items":["İlk ünitede sinüs ve kosinüs fonksiyonları, sinüs ve kosinüs değerlerinde sıralama, tanjant, kotanjant, sekant ve kosekant fonksiyonları ve trigonometrik fonksiyonların işaretleri anlatılacak.","Trigonometrik fonksiyonlar birim çember üzerinde tanıtılacak."]},"beginTime":0,"endTime":24,"href":"/video/preview/8282583266490814173?parent-reqid=1765133157884761-6825164348825400032-balancer-l7leveler-kubr-yp-vla-122-BAL&text=Yar%C4%B1%C3%A7ap+Yay%C4%B1nlar%C4%B1&t=0&ask_summarization=1"},{"index":1,"title":"Birim Çember ve Kosinüs Fonksiyonu","list":{"type":"unordered","items":["Birim çember, merkezi orijin (0,0) ve yarıçapı bir santimetre olan çemberdir.","Trigonometrik fonksiyonlar tanıtılırken x ekseninin kosinüs ekseni, y ekseninin sinüs ekseni olarak adlandırılması gerekir.","Kosinüs alfa değeri, alfa derecelik açının birim çemberi kestiği noktadan x eksenine indirilen dikme ile orijin arasındaki uzaklıktır.","Kosinüs alfa'nın tanım aralığı reel sayılardan eksi bir ile bir arasındadır."]},"beginTime":24,"endTime":169,"href":"/video/preview/8282583266490814173?parent-reqid=1765133157884761-6825164348825400032-balancer-l7leveler-kubr-yp-vla-122-BAL&text=Yar%C4%B1%C3%A7ap+Yay%C4%B1nlar%C4%B1&t=24&ask_summarization=1"},{"index":2,"title":"Sinüs Fonksiyonu","list":{"type":"unordered","items":["Sinüs alfa değeri, alfa derecelik açının birim çemberi kestiği noktadan y eksenine indirilen dikme ile orijin arasındaki uzaklıktır.","Sinüs alfa'nın da tanım aralığı reel sayılardan eksi bir ile bir arasındadır."]},"beginTime":169,"endTime":239,"href":"/video/preview/8282583266490814173?parent-reqid=1765133157884761-6825164348825400032-balancer-l7leveler-kubr-yp-vla-122-BAL&text=Yar%C4%B1%C3%A7ap+Yay%C4%B1nlar%C4%B1&t=169&ask_summarization=1"},{"index":3,"title":"Trigonometrik Değerlerin Bulunması","list":{"type":"unordered","items":["Trigonometrik ifadelerin değerlerini bulmak için birim çember çizmek gerekir.","Sinüs 90 derece 1'dir, kosinüs 180 derece -1'dir.","Sinüs 0 derece 0'dır, kosinüs 0 derece 1'dir.","Sinüs 80 derece 0'dır, kosinüs 270 derece 0'dır."]},"beginTime":239,"endTime":374,"href":"/video/preview/8282583266490814173?parent-reqid=1765133157884761-6825164348825400032-balancer-l7leveler-kubr-yp-vla-122-BAL&text=Yar%C4%B1%C3%A7ap+Yay%C4%B1nlar%C4%B1&t=239&ask_summarization=1"},{"index":4,"title":"Trigonometrik İfadelerin Değerleri","list":{"type":"unordered","items":["Trigonometrik ifadelerin değerlerini bulmak için birim çember kullanılır; x ekseninin kosinüs ekseni, y ekseninin sinüs ekseni olduğu hatırlatılır.","Sin 90° = 1, cos 180° = -1 gibi temel trigonometrik değerler birim çember üzerinde gösterilir.","Radyan cinsinden verilen açılar (örneğin π/2 = 90°) birim çember üzerinde çizilerek sinüs ve kosinüs değerleri bulunur."]},"beginTime":376,"endTime":489,"href":"/video/preview/8282583266490814173?parent-reqid=1765133157884761-6825164348825400032-balancer-l7leveler-kubr-yp-vla-122-BAL&text=Yar%C4%B1%C3%A7ap+Yay%C4%B1nlar%C4%B1&t=376&ask_summarization=1"},{"index":5,"title":"Trigonometrik Fonksiyonların Değer Aralıkları","list":{"type":"unordered","items":["Sinüs fonksiyonu daima -1 ile 1 aralığında değer alır.","Kosinüs fonksiyonu da -1 ile 1 aralığında değer alır.","Trigonometrik fonksiyonların katları ve toplamları için eşitsizlikler kullanılarak değer aralıkları bulunur."]},"beginTime":489,"endTime":633,"href":"/video/preview/8282583266490814173?parent-reqid=1765133157884761-6825164348825400032-balancer-l7leveler-kubr-yp-vla-122-BAL&text=Yar%C4%B1%C3%A7ap+Yay%C4%B1nlar%C4%B1&t=489&ask_summarization=1"},{"index":6,"title":"Trigonometrik Fonksiyonların Toplamının Değer Aralığı","list":{"type":"unordered","items":["İki farklı trigonometrik fonksiyonun toplamı için önce her fonksiyonun değer aralığı bulunur.","Sinüs fonksiyonu -1 ile 1 aralığında, kosinüs fonksiyonu -1 ile 1 aralığında değer alır.","Fonksiyonların katları ve toplamları için eşitsizlikler kullanılarak a+b toplamının değer aralığı bulunur."]},"beginTime":633,"endTime":763,"href":"/video/preview/8282583266490814173?parent-reqid=1765133157884761-6825164348825400032-balancer-l7leveler-kubr-yp-vla-122-BAL&text=Yar%C4%B1%C3%A7ap+Yay%C4%B1nlar%C4%B1&t=633&ask_summarization=1"},{"index":7,"title":"Sinüs ve Kosinüs Değerlerinin Sıralaması","list":{"type":"unordered","items":["Sinüs ve kosinüs değerleri birim çember üzerinde verilen açılara karşılık gelen noktalara göre sıralanır.","Bir bölgede açının ölçüsü büyüdükçe kosinüs değeri küçülür, sinüs değeri artar.","Tümler açılar (90 derece tamamlayan açılar) için sinüs ve kosinüs değerleri birbirine eşittir (sin 20° = cos 70° gibi)."]},"beginTime":763,"endTime":1001,"href":"/video/preview/8282583266490814173?parent-reqid=1765133157884761-6825164348825400032-balancer-l7leveler-kubr-yp-vla-122-BAL&text=Yar%C4%B1%C3%A7ap+Yay%C4%B1nlar%C4%B1&t=763&ask_summarization=1"},{"index":8,"title":"Trigonometrik Değerlerin Sıralaması","list":{"type":"unordered","items":["Kosinüs değerlerini kendi arasında sıralama yapmak mümkündür.","Hem sinüs hem kosinüs değerleri varsa, birbirinin tümleri olan iki açının sinüsleri diğerinin kosinüsüne eşittir.","Kosinüs değerlerinde açı büyüdükçe değer küçülür, bu nedenle a \u003c c \u003c b sıralaması yapılır."]},"beginTime":1005,"endTime":1062,"href":"/video/preview/8282583266490814173?parent-reqid=1765133157884761-6825164348825400032-balancer-l7leveler-kubr-yp-vla-122-BAL&text=Yar%C4%B1%C3%A7ap+Yay%C4%B1nlar%C4%B1&t=1005&ask_summarization=1"},{"index":9,"title":"Tanjant ve Kotanjant Fonksiyonları","list":{"type":"unordered","items":["Tanjant, x = 1 eksenini kesen açının x ekseninden kestiği yere kadar olan kısım olarak tanımlanır.","Tanjant alfa'nın değer aralığı (-∞, ∞) arasındadır.","Kotanjant, y = 1 eksenini kesen açının y ekseninden kestiği yere kadar olan kısım olarak tanımlanır.","Kotanjant alfa'nın değer aralığı (-∞, ∞) arasındadır."]},"beginTime":1062,"endTime":1250,"href":"/video/preview/8282583266490814173?parent-reqid=1765133157884761-6825164348825400032-balancer-l7leveler-kubr-yp-vla-122-BAL&text=Yar%C4%B1%C3%A7ap+Yay%C4%B1nlar%C4%B1&t=1062&ask_summarization=1"},{"index":10,"title":"Sekant ve Kosekant Fonksiyonları","list":{"type":"unordered","items":["Sekant, kosinüsün çarpmaya göre tersidir.","Kosekant, sinüsün çarpmaya göre tersidir.","Tanjant 0, kotanjant 0, sekant 0, kosekant 0, tanjant 90, kotanjant 90, sekant 90, kosekant 90 değerleri tanımsızdır.","Tanjant 180, kotanjant 180, sekant 180, kosekant 180 değerleri tanımsızdır.","Tanjant 90, kotanjant 90, sekant 270, kosekant 270 değerleri tanımsızdır."]},"beginTime":1250,"endTime":1631,"href":"/video/preview/8282583266490814173?parent-reqid=1765133157884761-6825164348825400032-balancer-l7leveler-kubr-yp-vla-122-BAL&text=Yar%C4%B1%C3%A7ap+Yay%C4%B1nlar%C4%B1&t=1250&ask_summarization=1"},{"index":11,"title":"Birim Çemberde Bölgeler","list":{"type":"unordered","items":["Birim çemberde toplam dört bölge vardır.","Bölgeler saatin tersi yönünde ilerleyerek adlandırılır.","Birinci bölge, birim çemberin sağ üst köşesinden başlayarak saat yönünde ilerleyerek adlandırılır."]},"beginTime":1631,"endTime":1660,"href":"/video/preview/8282583266490814173?parent-reqid=1765133157884761-6825164348825400032-balancer-l7leveler-kubr-yp-vla-122-BAL&text=Yar%C4%B1%C3%A7ap+Yay%C4%B1nlar%C4%B1&t=1631&ask_summarization=1"},{"index":12,"title":"Trigonometrik Fonksiyonların İşaretleri","list":{"type":"unordered","items":["Çemberde saat yönünün tersine ilerlediğimizde, birinci bölge saat yönünün tersi, ikinci bölge saat yönünde, üçüncü bölge saat yönünün tersi, dördüncü bölge saat yönünde olur.","Trigonometrik fonksiyonlarda, birinci bölgede kosinüs ve sinüs değerleri pozitiftir.","İkinci bölgede kosinüs negatif, sinüs pozitiftir.","Üçüncü bölgede her iki trigonometrik fonksiyon da negatiftir.","Dördüncü bölgede kosinüs pozitif, sinüs negatiftir."]},"beginTime":1663,"endTime":1736,"href":"/video/preview/8282583266490814173?parent-reqid=1765133157884761-6825164348825400032-balancer-l7leveler-kubr-yp-vla-122-BAL&text=Yar%C4%B1%C3%A7ap+Yay%C4%B1nlar%C4%B1&t=1663&ask_summarization=1"},{"index":13,"title":"Tanjant ve Kotanjant İşaretleri","list":{"type":"unordered","items":["Birinci ve üçüncü bölgelerde tanjant değeri pozitiftir çünkü sinüs ve kosinüs her ikisi de pozitif veya negatiftir.","İkinci ve dördüncü bölgelerde tanjant değeri negatiftir.","Kotanjant da tanjant gibi birinci ve üçüncü bölgelerde pozitif, ikinci ve dördüncü bölgelerde negatiftir."]},"beginTime":1736,"endTime":1825,"href":"/video/preview/8282583266490814173?parent-reqid=1765133157884761-6825164348825400032-balancer-l7leveler-kubr-yp-vla-122-BAL&text=Yar%C4%B1%C3%A7ap+Yay%C4%B1nlar%C4%B1&t=1736&ask_summarization=1"},{"index":14,"title":"Trigonometrik Fonksiyonların Bölgelerine Göre İşaretleri","list":{"type":"unordered","items":["Birinci bölge 0 ile 90 derece arasında, ikinci bölge 90 ile 180 derece arasında, üçüncü bölge 180 ile 270 derece arasında, dördüncü bölge 270 ile 360 derece arasında yer alır.","Sinüs fonksiyonu birinci ve ikinci bölgelerde pozitif, üçüncü ve dördüncü bölgelerde negatiftir.","Kosinüs fonksiyonu birinci ve dördüncü bölgelerde pozitif, ikinci ve üçüncü bölgelerde negatiftir.","Tanjant ve kotanjant fonksiyonları birinci ve üçüncü bölgelerde pozitif, ikinci ve dördüncü bölgelerde negatiftir."]},"beginTime":1825,"endTime":2044,"href":"/video/preview/8282583266490814173?parent-reqid=1765133157884761-6825164348825400032-balancer-l7leveler-kubr-yp-vla-122-BAL&text=Yar%C4%B1%C3%A7ap+Yay%C4%B1nlar%C4%B1&t=1825&ask_summarization=1"}],"linkTemplate":"/video/preview/8282583266490814173?parent-reqid=1765133157884761-6825164348825400032-balancer-l7leveler-kubr-yp-vla-122-BAL&text=Yar%C4%B1%C3%A7ap+Yay%C4%B1nlar%C4%B1&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Yarıçap Yayınları - 1. 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