🌟 Mathematics Notes: Trigonometry Formulas (Easy Revision)

 ðŸ”· What is Trigonometry?

Trigonometry is the study of angles and sides of triangles. It is used in geometry, physics, engineering, and daily life calculations.


Basic Trigonometric Ratios

RatioFormula
sin θOpposite / Hypotenuse
cos θAdjacent / Hypotenuse
tan θOpposite / Adjacent
cosec θ1 / sin θ
sec θ1 / cos θ
cot θ1 / tan θ

🔷 Important Formulas

1. Reciprocal Identities

  • sin θ = 1 / cosec θ

  • cos θ = 1 / sec θ

  • tan θ = 1 / cot θ

2. tan θ in terms of sin and cos

  • tan θ = sin θ / cos θ

3. Pythagorean Identities

  • sin² θ + cos² θ = 1

  • 1 + tan² θ = sec² θ

  • 1 + cot² θ = cosec² θ

4. Co-Function Identities

  • sin (90° – θ) = cos θ

  • cos (90° – θ) = sin θ

  • tan (90° – θ) = cot θ

  • cot (90° – θ) = tan θ

  • sec (90° – θ) = cosec θ

  • cosec (90° – θ) = sec θ


🔷 Easy Tip to Remember

📌 "Some People Have Curly Brown Hair Through Proper Brushing"

  • S = sin = Opposite/Hypotenuse

  • C = cos = Adjacent/Hypotenuse

  • T = tan = Opposite/Adjacent


Final Words

Revise these trigonometry formulas daily for quick recall in your maths exams. Practice with questions to strengthen your concept.


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