Trigonometric Functions — Concept Maps
CBSE · Class 11 · Mathematics
4 concept maps of Trigonometric Functions for CBSE Class 11 Mathematics, each also written out as a text outline.
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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
- Degree to Radian
- 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
- Pythagorean
- 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
- cos x plus y
- Double Angle
- sin 2x
- 2 sinx cosx
- cos 2x
- Four equivalent forms
- tan 2x
- 2tanx over 1 minus tan2x
- sin 2x
- Triple Angle
- sin 3x
- 3sinx minus 4sin3x
- cos 3x
- 4cos3x minus 3cosx
- tan 3x
- 3tanx minus tan3x over 1 minus 3tan2x
- sin 3x
- Product to Sum
- 2 cosx cosy
- cos sum plus cos diff
- 2 sinx cosy
- sin sum plus sin diff
- 2 cosx cosy
- Sum to Product
- sinx plus siny
- 2 sin half sum cos half diff
- cosx minus cosy
- minus 2 sin half sum sin half diff
- sinx plus siny
- Angle Measurement
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
- Degree Measure
- 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
- sin x and cos x
- 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
- Fundamental
- Signs ASTC
- Q1 All positive
- Q2 Sin positive
- Q3 Tan positive
- Q4 Cos positive
- Angles
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
- Yes double: Which function?
- Yes: Which function?
- B
- sum
- of
- doubled
- sinA
- cosA
- tanA
- divided
- 1
- or
- basic
- 2
- 2cos
- 2tanx
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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Sources & Official References
- NCERT Official — ncert.nic.in
- CBSE Academic — cbseacademic.nic.in
- CBSE Official — cbse.gov.in
- National Education Policy 2020 — education.gov.in
Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.
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Formula Sheet
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Chapter Summary
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Study Plan
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Syllabus
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