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Punjab Board Class 11 Mathematics — Formula Sheet

Punjab Board Class 11 Mathematics formula sheet, chapter by chapter — 20 formulas across 4 chapters. Follows the PSEB 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 — 4 Chapters

1

Sets

2 entries
FINITE SET: A set with a definite (countable) number of elements, including the empty set. Example: {1,2,3,4,5} is finite with n(A)=5.
Examples: n({1, 2, 3, 4, 5}) = 5, n({a, e, i, o, u}) = 5.
The full Sets formula sheet
3

Trigonometric Functions

7 entries
One complete revolution = 360° = 2π radians.
A unit circle has centre at origin O and radius = 1. For any point P(a, b) on the unit circle with angle AOP = x radians (measured from positive x-axis), we DEFINE: cos x = a (x-coordinate) and sin x
Since P lies on the unit circle: a² + b² = 1, giving the fundamental identity: sin²x + cos²x = 1.
The other four functions are defined as: tan x = sin x / cos x, cot x = cos x / sin x, sec x = 1 / cos x, cosec x = 1 / sin x.
Core Sum Formulas: sin(x+y) = sin x cos y + cos x sin y. cos(x+y) = cos x cos y – sin x sin y. tan(x+y) = (tan x + tan y)/(1 – tan x tan y).
The full Trigonometric Functions formula sheet
4

Complex Numbers and Quadratic Equations

9 entries
The imaginary unit i is defined as i = √(–1), so i² = –1.
Powers of i repeat with a cycle of 4: i¹ = i, i² = –1, i³ = –i, i⁴ = 1, i⁵ = i, ...
If remainder = 0 → i⁴ᵏ = 1
MULTIPLICATION: (a + ib)(c + id) = (ac – bd) + i(ad + bc) — use distributive law and replace i² = –1.
(z₁ + z₂)² = z₁² + 2z₁z₂ + z₂²
The full Complex Numbers and Quadratic Equations formula sheet

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Formula sheets for all 4 chapters with formulas.

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Frequently Asked Questions

Where can I find Punjab Board Class 11 Mathematics Formula Sheet?

This page has formula sheet for 4 chapters of Punjab Board Class 11 Mathematics for the 2026-27 session. 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

4 chapters

1

Sets

3

Trigonometric Functions

4

Complex Numbers and Quadratic Equations

5

Linear Inequalities

More Mathematics Resources

Punjab Board Class 11

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

Flashcards

Quick-fire cards for active recall practice

Syllabus

Chapter list and the topics in each

Other Punjab Board Class 11 Subjects

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