Matematik91 views·Updated Jun 19, 2026·1 page

Matematik: Özel Üçgenler ve Trigonometri Konuları

Asude Altan@asudee

Trigonometri matematikte en önemli konulardan biri ve günlük hayatta da...

of 1

Pisagor = a²+b²=², hipotenüs

Özel Ügpenter
3-4-5
6-2-10
7-24-25-14-48-50
5-12-13-110-24-26
9-12-15-18-24-30
8-15-17-16-30-347

Sind = karşı

Trigonometri Temelleri ve Özel Üçgenler

Trigonometriye giriş yaparken ilk öğreneceğin şey Pisagor teoremi: a² + b² = c². Bu formül dik üçgenlerde hipotenüsü bulmak için kullanılır ve trigonometrinin temelidir.

Özel üçgenler sınavlarda çok sık çıkar, bu yüzden ezberlemen gerekiyor. En önemlileri: 3-4-5, 6-8-10, 5-12-13, 7-24-25, 8-15-17 ve 9-12-15 üçgenleri. Bu sayıları 2, 3 veya başka sayılarla çarparak yeni özel üçgenler elde edebilirsin.

Trigonometrik oranlar şöyle tanımlanır: sinα = karşı/hipotenüs, cosα = komşu/hipotenüs, tanα = karşı/komşu. Cotanjant ise tanjantın tersidir: cotα = komşu/karşı. Ayrıca tanα = sinα/cosα ve cotα = cosα/sinα eşitliklerini de bil.

Özel açıların değerleri ezber gerektiriyor ama mantığını anlayınca kolay. Sin30°=1/2, cos30°=√3/2, tan30°=√3/3 gibi. 45° ve 60° açıları için de benzer değerler var. Bu açıların sinüs ve kosinüs değerleri arasında sin30°=cos60° gibi özel ilişkiler bulunuyor.

💡 İpucu: Özel açıların değerlerini ezberlemek için "1, √2, √3" sırasını kullan ve hepsini 2'ye böl!

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