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Trigonometry

Tamil Nadu Board · Class 10 · Mathematics

Quick revision notes for Trigonometry — Tamil Nadu Board Class 10 Mathematics. Key concepts, formulas, and definitions for last-minute revision.

45 questions25 flashcards5 concepts

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A comprehensive table summarizing the values of sine, cosine, tangent, cotangent, secant, and cosecant for standard angles 0°, 30°, 45°, 60°, and 90°.
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Key Topics to Revise

1

6.1 Trigonometric Ratios - Foundation Concepts

  • Trigonometric ratios are defined for acute angles (0° < θ < 90°) using a right-angled triangle
  • Six basic trigonometric ratios: sine, cosine, tangent, cosecant, secant, cotangent
  • sin θ = Opposite/Hypotenuse; cos θ = Adjacent/Hypotenuse; tan θ = Opposite/Adjacent
2

6.2 Trigonometric Ratios of Complementary Angles

  • Two angles are complementary if their sum is 90°
  • sin(90° - θ) = cos θ and cos(90° - θ) = sin θ
  • tan(90° - θ) = cot θ and cot(90° - θ) = tan θ
3

6.3 Standard Values of Trigonometric Ratios

  • Must memorize exact values for 0°, 30°, 45°, 60°, and 90° - These are asked frequently in exams
  • sin 0° = 0, sin 30° = 1/2, sin 45° = 1/√2, sin 60° = √3/2, sin 90° = 1
  • cos 0° = 1, cos 30° = √3/2, cos 45° = 1/√2, cos 60° = 1/2, cos 90° = 0
4

6.4 Trigonometric Identities - Proving and Simplifying

  • An identity is an equation true for all valid angle values, not just specific angles
  • Three fundamental identities: sin²θ + cos²θ = 1, 1 + tan²θ = sec²θ, 1 + cot²θ = csc²θ
  • These identities are derived from Pythagoras theorem applied to trigonometric ratios

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Full Notes

Key Concepts

For a rightThree fundamental identities form the coreTwo angles are complementary if theyStudents must memorize trigonometric ratiosThe angle of elevation is

Frequently Asked Questions

What are the important topics in Trigonometry for Tamil Nadu Board Class 10 Mathematics?
Key topics in Trigonometry include Trigonometry Concepts Map, Trigonometry Concepts Overview, Trigonometry Chapter Overview - Complete Concept Map. These are the concepts Tamil Nadu Board Class 10 examiners draw on most — study them first, then practise related questions.
How to score full marks in Trigonometry — Tamil Nadu Board Class 10 Mathematics?
Understand the core concepts first, then work through the 45 practice questions available for this chapter. Revise formulas and definitions regularly, and use flashcards for quick recall before the exam.

Sources & Official References

Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.

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All 8 chapters — Tamil Nadu Board Class 10 Mathematics Revision Notes

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