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Trigonometry

Maharashtra Board · Class 10 · Mathematics

Complete topic list for Trigonometry in Maharashtra Board Class 10 Mathematics. Key concepts, sub-topics, and what to focus on for board exams.

45 questions30 flashcards5 concepts

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4 Topics · Maharashtra Board Class 10 Mathematics

Topics in Trigonometry

1

Basic Trigonometric Ratios

  • In a right-angled triangle, the three main ratios are sine, cosine, and tangent.
  • For the triangle in Fig. 6.2, sinθ = AB/AC, cosθ = BC/AC, and tanθ = AB/BC.
  • These ratios depend on the angle, not on the size of the triangle, as long as the angle stays the same.
2

Reciprocal Ratios

  • cosecθ, secθ, and cotθ are the reciprocal ratios of sinθ, cosθ, and tanθ.
  • cosecθ = 1/sinθ, secθ = 1/cosθ, and cotθ = 1/tanθ.
  • In the triangle form, cosecθ = hypotenuse/opposite side, secθ = hypotenuse/adjacent side, and cotθ = adjacent side/opposite side.
3

Fundamental Trigonometric Identities

  • The three fundamental identities are obtained from the basic ratios and Pythagoras theorem.
  • Identity II is sin²θ + cos²θ = 1.
  • Identity III is 1 + cot²θ = cosec²θ.
4

Values of Trigonometric Ratios for Standard Angles

  • The values for 0°, 30°, 45°, 60°, and 90° are very important.
  • sin 30° = 1/2.
  • sinθ at 0°, 30°, 45°, 60°, 90° is 0, 1/2, 1/√2, √3/2, 1.

Key Concepts

Central concept: Trigonometry

Basic trigonometric ratiosReciprocal ratiosTrigonometric identitiesRight triangle relationsSpecial angle valuesAngle of elevation and depressionApplications of trigonometryAryabhata

Frequently Asked Questions

What are the important topics in Trigonometry for Maharashtra Board Class 10 Mathematics?
Trigonometry covers several key topics that are frequently asked in Maharashtra Board Class 10 board exams. Focus on the core concepts listed on this page and practise related questions to build confidence.
How to score full marks in Trigonometry — Maharashtra 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.

More resources for Trigonometry

All 13 chapters — Maharashtra Board Class 10 Mathematics Syllabus

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