Chapter 4 of 10
Concept Maps
Trigonometric Functions - II — Concept Maps
NIOS · Class 12 · Mathematics
3 concept maps of Trigonometric Functions - II for NIOS Class 12 Mathematics, each also written out as a text outline.
45 questions25 flashcards7 formulas & key relations5 concepts
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3 Concept Maps
Complete Overview: Trigonometric Functions II
The map in words
- Trig Functions II
- Addition Formulae
- sin A plus B
- sinA cosB plus cosA sinB
- sin A minus B
- sinA cosB minus cosA sinB
- cos A plus B
- cosA cosB minus sinA sinB
- cos A minus B
- cosA cosB plus sinA sinB
- tan A plus B
- tanA plus tanB over 1 minus tanA tanB
- tan A minus B
- tanA minus tanB over 1 plus tanA tanB
- sin A plus B
- Product to Sum
- 2sinA cosB
- sin sum plus sin diff
- 2cosA sinB
- sin sum minus sin diff
- 2cosA cosB
- cos sum plus cos diff
- 2sinA sinB
- cos diff minus cos sum
- 2sinA cosB
- Sum to Product
- sinC plus sinD
- 2 sin half sum cos half diff
- sinC minus sinD
- 2 cos half sum sin half diff
- cosC plus cosD
- 2 cos half sum cos half diff
- cosD minus cosC
- 2 sin half sum sin half diff
- sinC plus sinD
- Double Angle 2A
- sin2A
- 2 sinA cosA
- 2tanA over 1 plus tan squared A
- cos2A
- cos squared minus sin squared
- 2cos squared minus 1
- 1 minus 2sin squared
- 1 minus tan squared over 1 plus tan squared
- tan2A
- 2tanA over 1 minus tan squared A
- sin2A
- Triple Angle 3A
- sin3A
- 3sinA minus 4sin cubed A
- cos3A
- 4cos cubed A minus 3cosA
- tan3A
- 3tanA minus tan cubed A over 1 minus 3tan squared A
- sin3A
- Sub Multiple A over 2
- sin half A
- plus minus root 1 minus cosA over 2
- cos half A
- plus minus root 1 plus cosA over 2
- tan half A
- plus minus root 1 minus cosA over 1 plus cosA
- Sign depends on quadrant of half A
- sin half A
- General Solutions
- sin theta equals sin alpha
- theta equals n pi plus minus 1 to n times alpha
- cos theta equals cos alpha
- theta equals 2n pi plus minus alpha
- tan theta equals tan alpha
- theta equals n pi plus alpha
- sin squared or cos squared or tan squared
- theta equals n pi plus minus alpha
- sin theta equals sin alpha
- Addition Formulae
Trigonometric Functions - II: Complete Concept Map
The map in words
- Trigonometric Functions II
- Addition Formulae
- A+B
- A+B
- A+B
- Subtraction variants
- Transformations
- Products to Sums
- 2sinA cosB
- 2cosA cosB
- 2sinA sinB
- Sums to Products
- sinC + sinD
- cosC + cosD
- Difference forms
- Products to Sums
- Multiple Angles
- Double Angle
- sin2A
- 4 forms
- tan2A
- Triple Angle
- sin3A
- cos3A
- tan3A
- Double Angle
- Submultiple Angles
- Half Angle
- A/2
- A/2
- A/2
- Sign determination
- Half Angle
- Trigonometric Equations
- sinθ = sinα
- cosθ = cosα
- tanθ = tanα
- General solutions
- Applications
- Identities proof
- Complex expressions
- Real-world problems
- Addition Formulae
Mind map showing all major topics covered in the chapter with their key subtopics
The map in words
- Trigonometric Functions II
- Addition & Subtraction
- A±B
- A±B
- A±B
- Product to Sum
- 2sinA cosB
- 2cosA cosB
- Sum to Product
- sinC + sinD
- cosC + cosD
- Multiple Angles
- sin2A, cos2A, tan2A
- sin3A, cos3A, tan3A
- Half Angles
- A/2
- A/2
- A/2
- Equations
- sinθ = sinα
- cosθ = cosα
- tanθ = tanα
- Addition & Subtraction
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Explore DiagramsFrequently Asked Questions
What are the important topics in Trigonometric Functions - II for NIOS Class 12 Mathematics?
Key topics in Trigonometric Functions - II include Addition and Subtraction Formulae, Product-to-Sum and Sum-to-Product Transformations, Multiple Angle Formulae (2A and 3A), Sub-Multiple Angle Formulae (A/2). Study these first, then practise questions on each for the NIOS Class 12 board exam.
What do the concept maps for Trigonometric Functions - II show?
The 3 maps show how the ideas in Trigonometric Functions - II connect: Complete Overview: Trigonometric Functions II; Trigonometric Functions - II: Complete Concept Map. Each map is also written out as an outline on this page.
How should I revise Trigonometric Functions - II for the NIOS Class 12 board exam?
Learn the core ideas first, then work through the 45 practice questions on Trigonometric Functions - II. 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 - II
Practice Quiz
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Important Questions
Exam-style questions with answers
Revision Notes
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Formula Sheet
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Chapter Summary
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Flashcards
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Syllabus
What topics to cover
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