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Questions and Answers
ما هو تعريف دالة الكوتانجنت في المثلث القائم الزاوية؟
ما هو تعريف دالة التانجنت في المثلث القائم الزاوية؟
ما هو تعريف دالة الكوزاين في المثلث القائم الزاوية؟
ما هو التعريف الرياضي الهام بين دالات الجيب والكوزاين؟
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ما هو الاستخدام الرئيسي لدالات الجيب والكوزاين والكوتانجنت؟
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Study Notes
Trigonometric Ratios
Cotangent (cot)
- Defined as the ratio of the adjacent side to the opposite side of a right-angled triangle
- cot(θ) = adjacent side / opposite side
- cot(θ) = 1 / tan(θ)
Tangent (tan)
- Defined as the ratio of the opposite side to the adjacent side of a right-angled triangle
- tan(θ) = opposite side / adjacent side
- tan(θ) = sin(θ) / cos(θ)
Cosine (cos)
- Defined as the ratio of the adjacent side to the hypotenuse of a right-angled triangle
- cos(θ) = adjacent side / hypotenuse
- cos(θ) = √(1 - sin^2(θ))
Pythagorean Identity
- A fundamental relationship between trigonometric ratios
- sin^2(θ) + cos^2(θ) = 1
- This identity is used to simplify trigonometric expressions and solve problems
Note: These ratios can be used to find unknown sides and angles in right-angled triangles, and are essential in many areas of mathematics and science.
نسب تريغونومترية
قاطع زاوي (قاطع)
- Defined as the ratio of the adjacent side to the opposite side of a right-angled triangle*
- قاطع(θ) = côté adjacent / côté opposite*
- قاطع(θ) = 1 / tan(θ)*
تناسج زاوي (tan)
- Defined as the ratio of the opposite side to the adjacent side of a right-angled triangle*
- tan(θ) = côté opposite / côté adjacent*
- tan(θ) = sin(θ) / cos(θ)*
جيب زاوي (cos)
- Defined as the ratio of the adjacent side to the hypotenuse of a right-angled triangle*
- cos(θ) = côté adjacent / hypotenuse*
- cos(θ) = √(1 - sin^2(θ))*
هويتي بايثاغورية
- A fundamental relationship between trigonometric ratios*
- sin^2(θ) + cos^2(θ) = 1*
- This identity is used to simplify trigonometric expressions and solve problems*
ملحوظة
- These ratios can be used to find unknown sides and angles in right-angled triangles*
- They are essential in many areas of mathematics and science*
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Description
تعرف على مفاهيم المثلثات ثلاثية الأطراف مثل جیوتینت و 탄jee و كوزين. قم بتطوير مهاراتك في الرياضيات!
