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Revision Notes

Trigonometry — Revision Notes

Maharashtra Board · Class 10 · Mathematics

Trigonometry revision notes for Maharashtra Board Class 10 Mathematics: 4 topics in quick points. Includes Basic Trigonometric Ratios, Reciprocal Ratios.

45 questions30 flashcards23 formulas & key relations5 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?
Key topics in Trigonometry include Basic Trigonometric Ratios, Reciprocal Ratios, Fundamental Trigonometric Identities, Values of Trigonometric Ratios for Standard Angles. Study these first, then practise questions on each for the Maharashtra Board Class 10 board exam.
How should I revise Trigonometry for the Maharashtra Board Class 10 board exam?
Learn the core ideas first, then work through the 45 practice questions on Trigonometry. Revise 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 Maharashtra Board Class 10 Mathematics Revision Notes

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