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Formula Sheet

Trigonometric Functions - II — Formula Sheet

NIOS · Class 12 · Mathematics

7 formulas from Trigonometric Functions - II (NIOS Class 12 Mathematics) on one page, grouped by topic. Includes Product-to-Sum and Product-to-Sum.

45 questions25 flashcards7 formulas & key relations5 concepts

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A two-part infographic summarizing the transformation formulas: converting products of trigonometric functions into sums or differences, and converting sums or differences into products.
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7 Entries · 3 Sections

Formulas and Key Relations

Product-to-Sum and Sum-to-Product Transformations

Product-to-Sum

2sinAcosB = sin(A+B) + sin(A−B)

Product-to-Sum

2cosAsinB = sin(A+B) − sin(A−B)

Multiple Angle Formulae (2A and 3A)

sin2A = 2sinAcosA = 2tanA/(1+tan²A)

cos2A = cos²A − sin²A = 2cos²A − 1 = 1 − 2sin²A = (1−tan²A)/(1+tan²A)

tan2A = 2tanA/(1−tan²A)

Sub-Multiple Angle Formulae (A/2)

sin(A/2) = ±√((1−cosA)/2) — sign depends on the quadrant of A/2

cos(A/2) = ±√((1+cosA)/2) — sign depends on the quadrant of A/2

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Frequently 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.
How many formulas are in Trigonometric Functions - II?
This sheet lists 7 formulas from Trigonometric Functions - II, grouped by topic. Learn what each symbol stands for so you can apply the formula, not just recall it.
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.

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All NIOS Class 12 Mathematics Formula Sheet

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