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Concept Maps

Trigonometric Functions — Concept Maps

Jammu & Kashmir Board · Class 11 · Mathematics

4 concept maps of Trigonometric Functions for Jammu & Kashmir Board Class 11 Mathematics, each also written out as a text outline.

160 questions64 flashcards27 formulas & key relations5 concepts

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4 Concept Maps

Trigonometric Functions — Complete Formula Map

Trigonometric Functions — Complete Formula Map

The map in words

  • Trig Functions
    • Angle Measurement
      • Degree to Radian
        • Multiply by pi over 180
      • Radian to Degree
        • Multiply by 180 over pi
      • Arc Length l equals r theta
    • Basic Identities
      • Pythagorean
        • sin2x plus cos2x equals 1
        • 1 plus tan2x equals sec2x
        • 1 plus cot2x equals cosec2x
      • Even and Odd
        • cos is even
        • sin is odd
        • tan is odd
    • Sum and Difference
      • cos x plus y
        • cosx cosy minus sinx siny
      • sin x plus y
        • sinx cosy plus cosx siny
      • tan x plus y
        • Sum over 1 minus product
    • Double Angle
      • sin 2x
        • 2 sinx cosx
      • cos 2x
        • Four equivalent forms
      • tan 2x
        • 2tanx over 1 minus tan2x
    • Triple Angle
      • sin 3x
        • 3sinx minus 4sin3x
      • cos 3x
        • 4cos3x minus 3cosx
      • tan 3x
        • 3tanx minus tan3x over 1 minus 3tan2x
    • Product to Sum
      • 2 cosx cosy
        • cos sum plus cos diff
      • 2 sinx cosy
        • sin sum plus sin diff
    • Sum to Product
      • sinx plus siny
        • 2 sin half sum cos half diff
      • cosx minus cosy
        • minus 2 sin half sum sin half diff

Trigonometric Functions — Chapter Overview

Trigonometric Functions — Chapter Overview

The map in words

  • Trig Functions
    • Angles
      • Degree Measure
        • 1 revolution = 360 degrees
        • 1 degree = 60 minutes
      • Radian Measure
        • theta = l over r
        • pi radians = 180 degrees
      • Conversion
        • Deg to Rad times pi over 180
        • Rad to Deg times 180 over pi
    • Six Trig Functions
      • sin x and cos x
        • Domain all reals
        • Range minus1 to 1
      • tan x and cot x
        • Period = pi
        • Undefined at multiples
      • sec x and cosec x
        • Range outside minus1 to 1
        • Reciprocals
    • Identities
      • Fundamental
        • sin2 plus cos2 = 1
        • 1 plus tan2 = sec2
        • 1 plus cot2 = cosec2
      • Addition Formulae
        • cos of sum and difference
        • sin of sum and difference
        • tan of sum and difference
      • Double Angle
        • sin 2x = 2 sin x cos x
        • cos 2x three forms
        • tan 2x formula
      • Triple Angle
        • sin 3x = 3sinx minus 4sin3
        • cos 3x = 4cos3 minus 3cosx
        • tan 3x formula
    • Signs ASTC
      • Q1 All positive
      • Q2 Sin positive
      • Q3 Tan positive
      • Q4 Cos positive

Which Trig Formula to Use — Decision Tree for Sum and Difference

Which Trig Formula to Use — Decision Tree for Sum and Difference

The map in words

  • Expression to Simplify
    • B
      • Yes: Which function?
        • sin: E
        • cos: F
        • tan: G
      • No: D
        • Yes double: Which function?
          • sin 2x: K
          • cos 2x: L
          • tan 2x: M
        • Yes triple: I
        • No: J
  • sum
  • of
  • doubled
  • sinA
  • cosA
  • tanA
  • divided
  • 1
  • or
  • basic
  • 2
  • 2cos
  • 2tanx

Trigonometric Functions

Trigonometric Functions

The map in words

  • Trigonometric Functions
    • Introduction and meaning
    • Angles
    • Angle measures
    • Unit circle definition
    • Quadrantal angles
    • Other trigonometric functions
    • Zeros and undefined values
    • Pythagorean identities

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Frequently Asked Questions

What are the important topics in Trigonometric Functions for Jammu & Kashmir Board Class 11 Mathematics?
Key topics in Trigonometric Functions include Angle Measure and Radian Measure, Unit Circle Definition and Basic Values, Other Trigonometric Functions, Domains, Ranges, and Signs, Trigonometric Identities and Formulas. Study these first, then practise questions on each for Class 11 exams.
What do the concept maps for Trigonometric Functions show?
The 4 maps show how the ideas in Trigonometric Functions connect: Trigonometric Functions — Complete Formula Map; Trigonometric Functions — Chapter Overview. Each map is also written out as an outline on this page.
How should I revise Trigonometric Functions for Class 11 exams?
Learn the core ideas first, then work through the 160 practice questions on Trigonometric Functions. 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 Trigonometric Functions

All Jammu & Kashmir Board Class 11 Mathematics Concept Maps

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