Class 12 Math Formulas

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Complete List of All Class 12 Math Formulas: Chapter-wise PDF Download

Mathematics is the subject that many students run away from and the reason is that it’s too scary to understand. The lack of understanding of this subject starts when students see long and complex problems that they find difficult even to score passing marks in exams and class tests. 

Learning Class 12 Math formulas is an essential part of the board as well as the competitive exam journey. This list of Math formulas will help overcome the maths phobia and steadily students will be able to solve complex mathematical equations and problems. 

At Educart, we have provided a list of all the Class 12 Mathematical formulas based on the NCERT curriculum to help students deal with the subject and be able to score their dream marks.

General Math Formulas for Class 12

  1. Cosec θ = 1/ sin θ
  2. Sec θ = 1/ cos θ
  3. Cot = 1/ tan θ
  4. Tan θ = sin θ/ cos θ
  5. Sinθ= 1/ Cosec θ or Sinθ.Cosθ= 1
  6. Cosθ= 1/Secθ or Cos θ.Secθ= 1
  7. Tanθ= 1/Cotθ or Tanθ.Cotθ= 1
  8. Sin (A+B)= SinA.CosB + CosA.SinB
  9. Sin (A-B)= SinA.CosB – CosA.SinB
  10. Cos (A+B)= CosA.CosB- SinA.SinB
  11. Cos (A-B)= CosA.CosB+SinA.SinB
  12. Tan (A+B)= (TanA + TanB)/ (1-TanA TanB)
  13. Tan (A-B)= (TanA- TanB)/ (1+TanA TanB)
  14. Linear equation in one variable: ax +b =0 
  15. Linear equation in two variables: ax+ by+ c =0 
  16. Linear equation in three variables: ax+ by+ cz= 0
  17. ∫[f(x) + g(x)] dx = ∫f(x) dx + ∫g(x) dx

         For any real number k, ∫k f(x) dx = k∫f(x)dx.

  1. (A • B )= |P| |Q| cos θ ( Dot Product )
  2. (A × B )= |P| |Q| sin θ (Cross Product)
  3. P(S|F) = P(F|F) = 1

Class 12 Math All Formulas Chapter Wise

Chapter 1: Relations and Functions

Mathematics Chapter 1 Relations and Functions covers all the important topics like Basic Introduction, Types of Relations, Types of Functions, Composition of functions and invertible functions, and Binary operations. You can download the Relations and Functions Formula PDF from the link below.

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Chapter 2: Inverse Trigonometric Functions

Mathematics Chapter 2 Inverse Trigonometric Functions covers all the important topics like Basic Introduction, Basic Concepts, and Properties. You can download the Relations and Functions Formula PDF from the link below.

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Chapter 3: Matrices

Mathematics Chapter 3 Matrices covers all the important topics like matrices and their types, operations on matrices, transpose of a matrix, symmetric and skew-symmetric, and invertible matrices. You can download the Relations and Functions Formula PDF from the link below.

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Chapter 4: Determinants

Mathematics Chapter 4 Determinants covers all the important topics like determinants of a square matrix and the area of a triangle, minors, and cofactors, and applications of determinants and matrices. You can download the Relations and Functions Formula PDF from the link below.

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Chapter 5: Continuity and Differentiability 

Mathematics Chapter 5 Continuity and Differentiability covers all the important topics like concepts of limits, algebra of limits, intuitive idea of continuity of a function, differentiability, derivatives, and second-order derivatives. You can download the Relations and Functions Formula PDF from the link below.

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Chapter 6: Applications of Derivatives

Mathematics Chapter 6 Applications of Derivatives covers all the important topics like the rate of change of quantities, increasing and decreasing functions, maxima and minima, and absolute maximum and minimum of a function. You can download the Relations and Functions Formula PDF from the link below.

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Chapter 7: Integrals

Mathematics Chapter 7 Integrals covers all the important topics like indefinite integrals, methods of integrations, special methods of integration, definite integrals, and properties of definite integrals. You can download the Relations and Functions Formula PDF from the link below.

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Chapter 8: Applications of Integrals

Mathematics Chapter 8 Applications of Integrals covers all the important topics like areas under simple curves. You can download the Relations and Functions Formula PDF from the link below.

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Chapter 9: Differential Equations

Mathematics Chapter 9 Differential Equations covers all the important topics like general and particular solutions of differential equations, differential equations with variables separable, equations reducible to variables separable form, homogeneous differential equations, and first-order linear differential equations. You can download the Relations and Functions Formula PDF from the link below.

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Chapter 10: Vector Algebra

Mathematics Chapter 10 Vector Algebra covers all the important topics like terminology and representation of vectors, types of vectors, addition and subtraction of vectors, multiplication of a vector by a scalar, components of a vector, direction cosines and direction ratios of a vector, position vector of a vector joining two points, and section formula. You can download the relations and functions formula pdf from the link below.

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Chapter 11: Three-dimensional Geometry

Mathematics Chapter 11 Three-dimensional Geometry covers all the important topics like basic introduction, direction cosines and direction ratios of a line, direction cosines of a line passing through two points, equation of a line in space, angles between two lines,  and the shortest distance between two lines. You can download the Relations and Functions Formula PDF from the link below.

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Chapter 12: Linear Programming

Mathematics Chapter 12 Linear Programming covers all the important topics like basic introduction, graphical solution of a linear inequality in two variables, linear programming problems, and a graphical method of solving them. You can download the Relations and Functions Formula PDF from the link below.

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Chapter 13: Probability

Mathematics Chapter 13 Probability covers all the important topics like basic terms and concepts, introduction, addition theorem, conditional probability, multiplication theorem, and independent events. You can download the Relations and Functions Formula PDF from the link below.

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Applications of Class 12 Maths Formula

Learning Mathematics formulas will not only help at the academic level but at the professional level too especially as problem-solving and analysis tools. From making decisions in day-to-day life to opening gates for career opportunities, Class 12 maths formulas' real-life applications will help in a long way.

  • Learning Sets and Relation helps in studying algorithms in computer science, designing databases, and creating data structures. 
  • Linear programming helps in logistics to find the best solutions with some constraints, economics, and operation research.
  • Matrices and Determinants with linear algebra help in quantum mechanics, and computer graphics, and matrics can also help in transportation problems and network analysis.
  • 3D modeling and transformations can be achieved with the help of vectors. 
  • Trigonometry helps in finding distance and position on the surface of the earth as well as in navigation and surveying.

In Maths class 12 all formulas have lots of real-life applications that help in various fields like engineering, physics, data analysis, quality control, and many more. 

Tips to Learn Class 12th Mathematics Formula

Seeing the large list of formulas for every chapter in the Class 12 Math syllabus might seem difficult to learn. Here are a few tips and tricks that can help students learn important formulas in maths class 12. 

  1. Use Flashcards

You can use flashcards to revise all the important formulas daily. Write the formula and its applications on each side of the flashcard and use it to go through the formulas regularly.

Flashcard: Theorem at the front and Formulas at the Back

2. Use Mnemonics 

Recall the formulas faster by using a mnemonic memory aid tool by combining words, letters, images, and words.  Below are mentioned a few kinds of mnemonics.

  1. Rhyme 

Incorporate a rhyme or a jingle in different parts of the formula. For example: memorize the heron’s formula in this way.

S is the semi-perimeter, you see, Heron's formula finds the area with glee."

  1. Image 

Create a visual representation of the formula to learn it quickly. See the example below to understand.

Visualization boosts learning

  1. Chunking

Break down the large formula into smaller sections to learn it in chunks. 

Divide and Learn Chunk-by-Chunk

  1. Use Mind maps

Source: Educart Sample Paper Book

Where main idea is divided into multiple lines, creating a knowledge web of chapters to understand and learn it effectively. 

The above section contains all the general formulas and chapter-wise Class 12 Math formulas in one place. You can download the PDF and boost up your exam preparations. The stronger the preparation, the more confidence will be. 

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