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Tanımlanması","list":{"type":"unordered","items":["Fonksiyonun sinüs veya kosinüs olduğunu belirlemek için f(x) = genlik × sinüs(2π/periyot × x) formülü kullanılır.","Bulunan değerler yerine konulduğunda f(x) = 1/2 sinüs(2x) olarak fonksiyon tanımlanır.","g(x) = 1/2 kosinüs(2x) fonksiyonu tanımlandığında, sinüs fonksiyonunun sola ötelenmiş haline benzer bir grafik elde edilir.","g(x) fonksiyonunun y eksenini 1/2'de kestiği, kosinüs fonksiyonunun katsayısının 1/2 olması nedeniyledir."]},"beginTime":98,"endTime":228,"href":"/video/preview/11701837865937581902?parent-reqid=1769506386752141-6393797152552165792-balancer-l7leveler-kubr-yp-klg-36-BAL&text=Trigonometry_Official&t=98&ask_summarization=1"}],"linkTemplate":"/video/preview/11701837865937581902?parent-reqid=1769506386752141-6393797152552165792-balancer-l7leveler-kubr-yp-klg-36-BAL&text=Trigonometry_Official&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Trigonometrik Fonksiyonların Grafik Çizimi 2 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#aytmath #aytcamp trigonometry-trigonometric ratios of acute angles- Mustachioed Math Welcome to AYT Math Camp. Our AYT Math Camp topics will be completed in a planned manner in 80...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/4077212/29fd2f465399ed240cb98974d817efb1/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/vhwwSQIAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"1","reqid":"1769506386752141-6393797152552165792-balancer-l7leveler-kubr-yp-klg-36-BAL","summary":{"isFull":true,"fullTextUrl":"/video/result?ask_summarization=1&numdoc=1&noreask=1&nomisspell=1&parent-reqid=1769506386752141-6393797152552165792-balancer-l7leveler-kubr-yp-klg-36-BAL&text=videoid:12790613024158970514","teaser":[{"list":{"type":"unordered","items":["Bu video, bir matematik eğitmeni tarafından sunulan AYT matematik kampının trigonometri bölümünden bir eğitim içeriğidir.","Videoda trigonometri konusu detaylı olarak ele alınmaktadır. Eğitmen, geniş açıları dar açıya dönüştürme, açıların 180 derece tamamlaması durumunda trigonometrik oranların değişimi, açıların toplamının 90 derece veya 180 derece olduğu durumlarda trigonometrik fonksiyonların nasıl değiştiği ve geniş açıların trigonometrik oranlarının hesaplanması gibi konuları anlatmaktadır.","Video, teorik bilgilerin yanı sıra örnek soru çözümleriyle desteklenmektedir. Eğitmen, dik üçgenler, dikdörtgenler ve eşkenar üçgenler üzerinden örnekler vererek konuyu pekiştirmekte ve öğrencilere test çözme stratejileri sunmaktadır. Ayrıca öğrencilere Miray soru bankasından 172-177 sayfalar arasındaki testlerin çözülmesi tavsiye edilmektedir."]},"endTime":2039,"title":"AYT Matematik Kampı: Trigonometri Dersi","beginTime":0}],"fullResult":[{"index":0,"title":"Trigonometri Kampı ve Ders İçeriği","list":{"type":"unordered","items":["80 günde AYT matematik kampının trigonometri konusuna devam ediliyor.","Önceki derste geniş açıları dar açıya dönüştürme konusu işlenmiş.","Bu videoda şekilli ve trickli trigonometri konuları ele alınacak."]},"beginTime":0,"endTime":21,"href":"/video/preview/12790613024158970514?parent-reqid=1769506386752141-6393797152552165792-balancer-l7leveler-kubr-yp-klg-36-BAL&text=Trigonometry_Official&t=0&ask_summarization=1"},{"index":1,"title":"Kampın Durumu ve Gelecek Planları","list":{"type":"unordered","items":["Kampın 31. gününde bulunuluyor ve 9. ve 10. videoların üstüne çarpılar atılacak.","Üstadımızın 114. sayfasından 116. sayfaya kadar olan kısımlar işlenecek.","Sonraki videoda sıralama soruları detaylı olarak anlatılacak."]},"beginTime":21,"endTime":66,"href":"/video/preview/12790613024158970514?parent-reqid=1769506386752141-6393797152552165792-balancer-l7leveler-kubr-yp-klg-36-BAL&text=Trigonometry_Official&t=21&ask_summarization=1"},{"index":2,"title":"Ödevler ve Çalışma Planı","list":{"type":"unordered","items":["31 günde Miray soru bankasının belirli bölümleri çözülecek.","9-10 videoları izledikten sonra altın kitabın 172-177 arasındaki test 7, test 8 ve test 9 çözülecek.","İlk video izlendikten sonra test 7 ve test 8, ikinci video izlendikten sonra sıralamaların olduğu test çözülecek."]},"beginTime":66,"endTime":131,"href":"/video/preview/12790613024158970514?parent-reqid=1769506386752141-6393797152552165792-balancer-l7leveler-kubr-yp-klg-36-BAL&text=Trigonometry_Official&t=66&ask_summarization=1"},{"index":3,"title":"Trigonometrik Açılar ve Özellikleri","list":{"type":"unordered","items":["İki açı birbirlerini 180 dereceye tamamlıyorsa, sinüs değerleri birbirine eşittir.","İki açı birbirlerini 180 dereceye tamamlıyorsa, kosinüs değerleri birbirlerinin eksi değeridir.","İki açı birbirlerini 180 dereceye tamamlıyorsa, tanjant ve kotanjant değerleri birbirlerinin eksi değeridir."]},"beginTime":138,"endTime":279,"href":"/video/preview/12790613024158970514?parent-reqid=1769506386752141-6393797152552165792-balancer-l7leveler-kubr-yp-klg-36-BAL&text=Trigonometry_Official&t=138&ask_summarization=1"},{"index":4,"title":"Trigonometrik Soru Çözümü","list":{"type":"unordered","items":["Sinüs 122 derece, 180 dereceye tamamlayan açı olan sinüs 58 dereceye eşittir.","Kosinüs 132 derece, 180 dereceye tamamlayan açı olan kosinüs 48 dereceye eşittir.","Kotanjant 142 derece, 180 dereceye tamamlayan açı olan kotanjant 38 dereceye eşittir."]},"beginTime":279,"endTime":655,"href":"/video/preview/12790613024158970514?parent-reqid=1769506386752141-6393797152552165792-balancer-l7leveler-kubr-yp-klg-36-BAL&text=Trigonometry_Official&t=279&ask_summarization=1"},{"index":5,"title":"Üçgende Trigonometrik Özellikler","list":{"type":"unordered","items":["Üçgende A+B+C=180 olduğundan, A+B açısı C açısına 180 dereceye tamamlar ve sinüs değerleri birbirine eşittir.","Üçgende A+C açısı B açısına 180 dereceye tamamlar ve kosinüs değerleri birbirlerinin eksi değeridir.","Üçgende B+C açısı A açısına 180 dereceye tamamlar ve tanjant değerleri birbirlerinin eksi değeridir."]},"beginTime":655,"endTime":841,"href":"/video/preview/12790613024158970514?parent-reqid=1769506386752141-6393797152552165792-balancer-l7leveler-kubr-yp-klg-36-BAL&text=Trigonometry_Official&t=655&ask_summarization=1"},{"index":6,"title":"Doksan Dereceye Tamamlama Mantığı","list":{"type":"unordered","items":["Üçgende A+B+C=180 olduğundan, A+B/2 açısı C/2 açısına 90 dereceye tamamlar ve sinüs değerleri birbirine eşittir.","Üçgende A+B/2 açısı C/2 açısına 90 dereceye tamamlar ve kosinüs değerleri birbirine eşittir.","Üçgende B+C/2 açısı A/2 açısına 90 dereceye tamamlar ve tanjant değerleri birbirlerinin kotanjant değeridir."]},"beginTime":841,"endTime":985,"href":"/video/preview/12790613024158970514?parent-reqid=1769506386752141-6393797152552165792-balancer-l7leveler-kubr-yp-klg-36-BAL&text=Trigonometry_Official&t=841&ask_summarization=1"},{"index":7,"title":"Trigonometrik Denklemlerin Çözümü","list":{"type":"unordered","items":["Trigonometrik denklemlerde açıların toplamı 180 derece olduğunda, sinüsleri eşit, kosinüsleri zıt işaretli, tanjantları ve kotanjantları zıt işaretli olur.","Açılar 90 derece olduğunda, sinüsleri ve kosinüsleri eşit, tanjantları ve kotanjantları zıt işaretli olur.","Bu kısayollar kullanılarak trigonometrik denklemler hızlıca 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