🌟 Mathematics Notes: Trigonometry Formulas (Easy Revision)

 🔷 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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#MathsNotes #Trigonometry #StudyTips #ExamPreparation #MathFormulas

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