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Chapter 12 of 13
Revision Notes

Trigonometry

Maharashtra Board · Class 10 · Mathematics

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

45 questions30 flashcards5 concepts

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Key Topics to Revise

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.

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Full Notes

Key Concepts

In a right trianglecosecθ = 1/sinθFrom the Pythagoras theorem inThe key values for acuteIf an observer looks at

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.

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