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Trigonometric Functions

Madhya Pradesh Board · Class 11 · Mathematics

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

160 questions64 flashcards5 concepts

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4 Topics · Madhya Pradesh Board Class 11 Mathematics

Topics in Trigonometric Functions

1

1. Angle Measure and Radian Measure

  • Angle is a measure of rotation of a given ray about its initial point.
  • Anticlockwise rotation gives a positive angle and clockwise rotation gives a negative angle.
  • One degree is one three-hundred-sixtieth part of a revolution.
2

2. Unit Circle Definition and Basic Values

  • For a point P(a, b) on the unit circle, cos x = a and sin x = b.
  • For every point on the unit circle, cos²x + sin²x = 1.
  • At quadrantal angles, the points on the unit circle are A(1, 0), B(0, 1), C(-1, 0), and D(0, -1).
3

3. Other Trigonometric Functions, Domains, Ranges, and Signs

  • cosec x = 1/sin x, sec x = 1/cos x, tan x = sin x/cos x, cot x = cos x/sin x.
  • sin x = 0 implies x = nπ, where n is any integer.
  • cos x = 0 implies x = (2n + 1)π/2, where n is any integer.
4

4. Trigonometric Identities and Formulas

  • cos(x + y) = cos x cos y − sin x sin y.
  • sin(x + y) = sin x cos y + cos x sin y.
  • tan(x + y) = (tan x + tan y)/(1 − tan x tan y), provided none of x, y, or x + y is an odd multiple of π/2.

Key Concepts

Central concept: Trigonometric Functions

Introduction and meaningAnglesAngle measuresUnit circle definitionQuadrantal anglesOther trigonometric functionsZeros and undefined valuesPythagorean identities

Frequently Asked Questions

What are the important topics in Trigonometric Functions for Madhya Pradesh Board Class 11 Mathematics?
Key topics in Trigonometric Functions include Trigonometric Functions — Complete Formula Map, Trigonometric Functions — Chapter Overview, Which Trig Formula to Use — Decision Tree for Sum and Difference. These are the concepts Madhya Pradesh Board Class 11 examiners draw on most — study them first, then practise related questions.
How to score full marks in Trigonometric Functions — Madhya Pradesh Board Class 11 Mathematics?
Understand the core concepts first, then work through the 160 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 14 chapters — Madhya Pradesh Board Class 11 Mathematics Syllabus

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