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Revision Notes

Trigonometric Identities — Revision Notes

ICSE · Class 10 · Mathematics

Trigonometric Identities revision notes for ICSE Class 10 Mathematics: 4 topics in quick points. Part of the ICSE Class 10 Mathematics syllabus.

39 questions28 flashcards19 formulas & key relations5 concepts

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A labeled diagram of a right-angled triangle showing the perpendicular, base, and hypotenuse relative to an acute angle, and defining the six trigonometric ratios (sine, cosine, tangent, cosecant, sec
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Key Topics to Revise

1

1. Trigonometric Ratios and Side Names

  • Trigonometric ratios are ratios of the sides of a right-angled triangle with respect to an acute angle.
  • The side opposite to the 90 degree angle is the hypotenuse.
  • The side at which the right angle and the given angle lie is the base.
2

2. Reciprocal and Quotient Relations

  • Sine and cosecant are reciprocals.
  • Cosine and secant are reciprocals.
  • Tangent and cotangent are reciprocals.
3

3. Fundamental Identities

  • There are three fundamental trigonometric identities.
  • The first identity comes from Pythagoras theorem applied to a right triangle.
  • The other two identities can be obtained from the first by dividing through by cos squared theta or sin squared theta.
4

4. Proving Identities Step by Step

  • Start with either the left-hand side or the right-hand side.
  • Use algebraic changes to make one side look like the other.
  • Common methods include using fundamental identities, rationalizing, making perfect squares, using algebraic formulae, and taking LCM.

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Full Notes

Key Concepts

The ratios of sides ofThe hypotenuse is the side oppositesine A is the reciprocaltan θ = sin θ /sin^2 A + cos^2 A =

Frequently Asked Questions

What are the important topics in Trigonometric Identities for ICSE Class 10 Mathematics?
Key topics in Trigonometric Identities include Trigonometric Ratios and Side Names, Reciprocal and Quotient Relations, Fundamental Identities, Proving Identities Step by Step. Study these first, then practise questions on each for the ICSE Class 10 board exam.
How should I revise Trigonometric Identities for the ICSE Class 10 board exam?
Learn the core ideas first, then work through the 39 practice questions on Trigonometric Identities. 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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