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Introduction to Trigonometry — Revision Notes

Madhya Pradesh Board · Class 10 · Mathematics

Introduction to Trigonometry revision notes for Madhya Pradesh Board Class 10 Mathematics: 4 topics in quick points.

130 questions60 flashcards26 formulas & key relations5 concepts

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An illustration showing a student looking at the top of Qutub Minar, forming a right triangle to find its height using trigonometry.
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Key Topics to Revise

1

1. Basics of Trigonometric Ratios

  • In a right triangle, the side opposite to angle A is BC, the side adjacent to angle A is AB, and the hypotenuse is AC.
  • The six trigonometric ratios are sin A, cos A, tan A, cosec A, sec A, and cot A.
  • sin A = BC/AC, cos A = AB/AC, tan A = BC/AB.
2

2. Values for Specific Angles

  • The standard angles are 0°, 30°, 45°, 60°, and 90°.
  • sin 0° = 0 and cos 0° = 1 are defined values.
  • sin 90° = 1 and cos 90° = 0 are defined values.
3

3. Trigonometric Identities

  • A trigonometric identity is an equation involving trigonometric ratios that is true for all values of the angle(s) involved.
  • The fundamental identity is cos^2 A + sin^2 A = 1.
  • Dividing the Pythagoras theorem by AB^2 gives 1 + tan^2 A = sec^2 A.
4

4. Solved Examples to Revise

  • If tan A = 4/3, then the other ratios are sin A = 4/5, cos A = 3/5, cot A = 3/4, cosec A = 5/4, sec A = 5/3.
  • If sin A = 1/3, then BC:AC = 1:3 and AB = 2√2 k using Pythagoras theorem.
  • If AB = 29 and BC = 21 in a right triangle with right angle at C, then AC = 20.

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Full Notes

Key Concepts

In a right triangle ABCsin A = BC/ACcosec A = AC/BCtan A = sin A /If the angle stays the same

Frequently Asked Questions

What are the important topics in Introduction to Trigonometry for Madhya Pradesh Board Class 10 Mathematics?
Key topics in Introduction to Trigonometry include Basics of Trigonometric Ratios, Values for Specific Angles, Trigonometric Identities, Solved Examples to Revise. Study these first, then practise questions on each for the Madhya Pradesh Board Class 10 board exam.
How should I revise Introduction to Trigonometry for the Madhya Pradesh Board Class 10 board exam?
Learn the core ideas first, then work through the 130 practice questions on Introduction to 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.

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All Madhya Pradesh Board Class 10 Mathematics Revision Notes

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