# CBSE Class 11 Maths Formulas | Check Important Formulas

Maths is the subject of scoring full marks in the exam. The students can get full marks in maths exam if they know and learn CBSE Class 11 Maths Formulas appropriately. These formulas are very important to remember because they make the base for higher studies.

The students need to focus and just need to learn this Class 11 Maths formula sheet which is also assists them in higher students and to score high marks in the examination. These formulas also assist the students in doing quick revision.

## Class 11 Maths Formulas

Some students might not get confident about the maths exam in spite of prepared well. But if they learn and understand the concepts thoroughly, they can confidently clear the maths exam with good marks. All need to do is to apply Class 11 Maths formulas according to the problems to solve the difficult questions.

The students should check the Class 11 Maths formula and grasp these formulas to get good marks in the exam. They can easily download the Class 11 Maths formula chart and can access it anywhere and at any time for quick revision. Here, the students can download Class 11 Maths formulas chapter wise:

• Chapter 1 – Sets
• Chapter 2 – Relations
• Chapter 3 – Functions
• Chapter 4 – Measurement of Angles
• Chapter 5 – Trigonometric Functions
• Chapter 6 – Graphs of Trigonometric Functions
• Chapter 7 – Trigonometric Ratios of Compound Angles
• Chapter 8 – Transformation Formulae
• Chapter 9 – Trigonometric Ratios of Multiple and Sub Multiple Angles
• Chapter 10 – Sine and Cosine Formulae and Their Applications
• Chapter 11 – Trigonometric Equations
• Chapter 12 – Mathematical Induction
• Chapter 13 – Complex Numbers
• Chapter 14 – Quadratic Equations
• Chapter 15 – Linear Inequations
• Chapter 16 – Permutations
• Chapter 17 – Combinations
• Chapter 18 – Binomial Theorem
• Chapter 19 – Arithmetic Progressions
• Chapter 20 – Geometric Progressions
• Chapter 21 – Some Special Series
• Chapter 22 – Brief Review of Cartesian System of Rectangular Coordinates
• Chapter 23 – The Straight Lines
• Chapter 24 – The Circle
• Chapter 25 – Parabola
• Chapter 26 – Ellipse
• Chapter 28 – Introduction To 3D Coordinate Geometry
• Chapter 29 – Limits
• Chapter 30 – Derivatives
• Chapter 31 – Mathematical Reasoning
• Chapter 32 – Statistics
• Chapter 33 – Probability

## Chapter-Wise CBSE Class 11 Maths Formulas

Class 11 Maths formulas assist the students when they get stuck in some questions while practicing. They can go through these formulas and properties and can easily solve the problem. Here is the list of CBSE Class 11 Maths all formulas

### Coordinate Geometry & Lines Formulas

Slope                                                   m = rise/run = Δy/Δx = y2−y1/x2−x1

Point-Slope Form                                y−y1 = m (x−x1)

Point-Point Form                                 y−y1 = y2−y1/x2−x1 (x−x1)

Slope-Intercept Form                          y = mx + b

Intercept-Intercept Form                    x/a + y/b = 1

General Form                                      Ax + By + C=0

Parallel & Perpendicular Lines           Parallel Lines m1 = m2

Perpendicular Lines m1m2 = −1

### Algebra Formulas

Distributive Property                                                  a (b + c) = a × b + a × c

Commutative Property of Addition                            a + b = b + a

Commutative Property of Multiplication                   a × b = b × a

Associative Property of Addition                                a + (b + c) = (a + b) + c

Associative Property of Multiplication                       a × (b × c) = (a × b) × c

Additive Identity Property                                           a + 0 = a

Multiplicative Identity Property                                 a × 1 = a

Additive Inverse Property                                           a + (−a) = 0

Multiplicative Inverse Property                                  a ⋅ (1a) = 1

Zero Property of Multiplication                                  a × (0) = 0

### CBSE Class 11 Maths trigonometry formulas

CBSE Class 11 Maths trigonometry formulas are very important to solve the problems and are the foundation for class 12. It is necessary that students should focus more on this chapter and its formulas and concepts. Here, the students can learn easily and make quick revision at the time of final exam:

CBSE Class 11 Maths trigonometry formulas

Sin (−θ) = −sinθ

cos (−θ) = cosθ

tan (−θ) = −tanθ

cosec (−θ) = −cosecθ

sec (−θ) = secθ

cot (−θ) = −cotθ

cos (A + B) = cos A cos B – sin A sin B

cos (A – B) = cos A cos B + sin A sin B

sin (A + B) = sin A cos B + cos A sin B

sin (A – B) = sin A cos B – cos A sin B

Product to Sum Formulas

Sin x sin y = 1/2[cos (x – y) – cos (x + y)]

Cos x cos y = 1/2[cos (x – y) + cos (x + y)]

Sin x cos y = 1/2[sin (x + y) + sin (x − y)]

Cos x sin y = 1/2[sin (x + y) – sin (x − y)]

Sum to Product Formulas

Sin x + sin y = 2sin (x + y/2) cos (x − y/2)

Sin x− sin y = 2cos (x + y/2) sin (x – y/2)

Cos x + cos y = 2cos (x + y/2) cos (x – y/2)

Cos x – cos y = –2sin (x + y/2) sin (x – y/2)

Identities

sin2 A + cos2 A = 1

1 + tan2 A = sec2 A

1 + cot2 A = cosec2 A

Trigonometric Functions Sign’s in Different Quadrants

 Trigonometric Functions I II III IV Sin A + + – – Cos A + – – + Tan A + – + – Cot A + – + – Sec A + – – + Cosec A + + – –

Cos (π2 + x) = −sinx

Sin (π2 + x) = cosx

Cos (π − x) = −cosx

Sin (π − x) = sinx

Cos (π + x) = −cosx

Sin (π + x) = −sinx

Cos (2π − x) = cosx

Sin (2π − x) = −sinx

If none of the angles A, B and (A ± B) is an odd multiple of π/2, then;

• tan(A+B) = [(tan A + tan B)/(1 – tan A tan B)]
• tan(A-B) = [(tan A – tan B)/(1 + tan A tan B)]

If none of the angles A, B and (A ± B) is a multiple of π, then;

• cot(A+B) = [(cot A cot B − 1)/(cot B + cot A)]
• cot(A-B) = [(cot A cot B + 1)/(cot B – cot A)]

Some additional formulas for sum and product of angles:

• cos(A+B) cos(A–B)=cos2A–sin2B=cos2B–sin2A
• sin(A+B) sin(A–B) = sin2A–sin2B=cos2B–cos2A
• sinA+sinB = 2 sin (A+B)/2 cos (A-B)/2

Formulas for twice of the angles:

• sin2A = 2sinA cosA = [2tan A + (1+tan2A)]
• cos2A = cos2A–sin2A = 1–2sin2A = 2cos2A–1= [(1-tan2A)/(1+tan2A)]
• tan 2A = (2 tan A)/(1-tan2A)

Formulas for thrice of the angles:

• sin3A = 3sinA – 4sin3A
• cos3A = 4cos3A – 3cosA
• tan3A = [3tanA–tan3A]/[1−3tan2A]

### Permutations and Combinations

• of permutations of n different things taken r at a time is given: nPr = n! / (n−r)!  where 0  ≤  r  ≤  n
• n! = 1 × 2 × 3 × … × n
• n! = n × (n − 1)!
• of permutations of n objects taken all at a time where p1 objects are of one kind, p2 objects of the second kind, …., pk objects of kth kind are given as: n!p1! p2! … pk!
• of permutations of n different things taken r at a time: nCr = n!/ r! (n−r)!                    where 0  ≤  r  ≤  n

### Binomial Theorem

• (a + b)n = nC0an + nC1an−1 . b + nC2an – 2 . b2 + … + nCn − 1 a . bn – 1 + nCnbn
• The general term of an expansion (a + b)n is Tr+1 = nCran – r . br
• In this (a + b)n if n is even then the middle term is (n2 + 1)th term.
• In this (a + b)n if n is odd then the middle terms are (n + 12) th and (n + 12 + 1) th terms

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