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Telangana Open School (TOSS) Class 12 Mathematics — Formula Sheet

Telangana Open School (TOSS) Class 12 Mathematics formula sheet, chapter by chapter — 355 formulas across 31 chapters. Follows the TOSS syllabus.

How to Use the Formula Sheet

  1. Write, don't just read — writing each formula out helps it stick.
  2. Understand the derivation — you can rebuild a formula you half-remember.
  3. Group related formulas — link the ones that build on each other.
  4. Test yourself — cover the sheet and write the formulas from memory.

Chapter-Wise Formulas — 31 Chapters

1

Mathematical Induction

9 entries
If P(1) is true and P(k) ⇒ P(k+1), then P(n) is true for all n ∈ ℕ
Sum of first n natural numbers: ∑n = n(n+1)/2
Sum of squares: ∑n² = n(n+1)(2n+1)/6
Sum of cubes: ∑n³ = [n(n+1)/2]²
Sum of first n odd numbers: n²
The full Mathematical Induction formula sheet
2

Sets, Relations and Functions

11 entries
A × B = {(a, b) | a ∈ A, b ∈ B}
R ⊆ A × B
f: A → B
f(x₁) = f(x₂) ⇒ x₁ = x₂
Range = Co-domain
The full Sets, Relations and Functions formula sheet
3

Complex Numbers and De Moivre’s Theorem

15 entries
z = a + bi
z̄ = a - bi
|z| = √(a² + b²)
arg(z) = tan⁻¹(b/a)
z = r(cosθ + i sinθ)
The full Complex Numbers and De Moivre’s Theorem formula sheet

28 more chapters below

Formula sheets for all 31 chapters with formulas.

Get the Formula Sheets

Get chapter-wise help for Telangana Open School (TOSS) Class 12 Mathematics

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Frequently Asked Questions

Where can I find Telangana Open School (TOSS) Class 12 Mathematics Formula Sheet?

This page has formula sheet for 31 chapters of Telangana Open School (TOSS) Class 12 Mathematics for the board exams 2027. Each chapter links to its own page with the full set.

Go through the syllabus first, then work chapter by chapter: learn the ideas, practise questions, and revise with notes and flashcards. Leave time at the end to revise every chapter once more under timed conditions.

Learn the formulas you use most first, and understand what each symbol means so you can apply them. Knowing where a formula comes from helps you rebuild it if you forget it in the exam.

Browse Formula Sheet by Chapter

31 chapters

1

Mathematical Induction

2

Sets, Relations and Functions

3

Complex Numbers and De Moivre’s Theorem

4

Trigonometric Functions

5

Quadratic Equations and Theory of Equations

6

Inverse Trigonometric Functions

7

Matrices

8

Properties Of Triangles

9

Determinants and their Applications

10

Limits And Continuity

11

Inverse of a Matrix and Its Applications

12

Differentiation

13

Permutations and Combinations

14

Differentiation Of Trigonometric Functions

15

Binomial Theorem

16

Differentiation Of Exponential and Logarithmic Functions

17

Cartesian System of Coordinates

18

Applications Of Derivatives – Tangents and Normal

19

Straight Lines

20

Applications Of Derivatives – Maxima and Minima

21

Circles

22

Integration

23

Conic Sections

24

Definite Integrals

25

Introduction To Three- Dimensional Geometry

26

Differential Equations

27

The Planes

28

Measures Of Dispersion

29

Vectors

30

Probability

31

Random Variables and Probability Distributions

More Mathematics Resources

Telangana Open School (TOSS) Class 12

Practice Quiz

Test yourself with quick quizzes

Important Questions

Exam-style questions with answers

Revision Notes

Key concepts and quick revision points

Chapter Summary

Understand each chapter at a glance

Concept Maps

Diagrams showing how topics connect

Study Plan

Week-by-week preparation schedule

Flashcards

Quick-fire cards for active recall practice

Syllabus

Chapter list and the topics in each

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