م概念ات المثلثات ثلاثية الأطراف

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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