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Ch 03 -Trigonometric Functions

ICSE · Class 11 · Mathematics

Complete topic list for Ch 03 -Trigonometric Functions in ICSE Class 11 Mathematics. Key concepts, sub-topics, and what to focus on for board exams.

103 questions36 flashcards5 concepts

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A diagram illustrating the definition of an angle as a measure of rotation, showing the initial side, terminal side, and vertex. It clearly distinguishes between positive (anti-clockwise) and negative
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4 Topics · ICSE Class 11 Mathematics

Topics in Ch 03 -Trigonometric Functions

1

1. Angles, Degree, and Radian

  • An angle is formed by two rays sharing a common end-point.
  • The common end-point is the vertex, and the rays are the sides of the angle.
  • Anticlockwise rotation is positive and clockwise rotation is negative.
2

2. Trigonometric Functions on the Unit Circle

  • A point P(a,b) on the unit circle is used to define trigonometric functions for any real angle x.
  • If arc AP = x, then sin x is the y-coordinate and cos x is the x-coordinate of P.
  • The domain of sine and cosine is all real numbers.
3

3. Trigonometric Identities and Allied Angles

  • A trigonometric identity is true for all values of the variable in its domain.
  • The Pythagorean identities are the backbone of many proofs.
  • Allied angles are angles whose sum or difference is 0 or a multiple of π/2.
4

4. Sum, Difference, and Compound-Angle Formulas

  • Sum and difference formulas are essential for evaluating non-standard angles.
  • They are used to derive many standard exact values such as sin 15°, cos 75°, and tan 105°.
  • These formulas also help prove identities involving two or more angles.

Key Concepts

Central concept: Trigonometric Functions

Angles and MeasurementUnit Circle DefinitionSix Trigonometric FunctionsSigns in QuadrantsAllied AnglesPeriodic NatureTrigonometric IdentitiesSum and Difference Formulas

Frequently Asked Questions

What are the important topics in Ch 03 -Trigonometric Functions for ICSE Class 11 Mathematics?
Key topics in Ch 03 -Trigonometric Functions include Complete Overview of Trigonometric Functions - Chapter 3, Trigonometric Functions - Concept Map, Trigonometric Functions - Complete Concept Map. These are the concepts ICSE Class 11 examiners draw on most — study them first, then practise related questions.
How to score full marks in Ch 03 -Trigonometric Functions — ICSE Class 11 Mathematics?
Understand the core concepts first, then work through the 103 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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All 18 chapters — ICSE Class 11 Mathematics Syllabus

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