Class 11 Maths Formulas

Class 11 math formulas are fundamental to understanding concepts in both grades 11 and 12. Memorizing these formulas is extremely essential to prepare and score well in examinations. Students can memorize the class 11 math formulas to solve all difficult problems with ease. Other than mathematics these class 11 Math formulas have significance in our lives.

Math formulas not only help us compute values and quantities but also make our lives easier by providing a way to describe various real-world features with precision. There are many different professions and industries that use mathematical formulas. For example, many class 11 math formulas based on topics such as sets, relations, trigonometry, probability, equations, etc are used in different fields like architecture, finance, engineering, computer science, etc. Therefore, it is vital to have a deep understanding of all Class 11 math formulas.

List of Important Class 11 Math Formulas

A list of some basic Class 11 maths formulas related to most important topics covered under various school boards is given below:

• A U B = {x: x ∈ A (or) x ∈ B}
• A ∩ B = {x: x ∈ A (and) x ∈ B}

• A × B = {(a, b): a ∈ A, b ∈ B}
• 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))
• 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))
• lim_{x → a}(xⁿ - aⁿ) / x - a = na^{n - 1}
• lim_{x → a} sinx / x = 1
• lim_{x → a} 1 - cosx / x = 0
• f ´( x ) = d f(x)/dx = lim_{h → 0} [ f(x + h) - f(x) / h]
• x̅ = ∑|x_i - x̅| / n
• σ² = ∑f_i(x_i - x̅)²/ N

Class 11 Algebra Formulas

Algebra forms the core foundation for studying advanced math topics, including calculus, geometry, trigonometry, etc. Thus, it is imperative for students to know about important class 11 algebra formulas. Learning Class 11 algebra formulas based on properties of equations will help students to represent real-world situations in their mathematical form. Here are all important Class 11 Algebra Formulas:

• a × (b + c) = a × b + a × c (Distributive property)
• a + b = b + a (Commutative Property of Addition)
• a × b = b × a (Commutative Property of Multiplication)
• a + (b + c) = (a + b) + c (Associative Property of Addition)
• a × (b × c) = (a × b) × c (Associative Property of Multiplication)
• a + 0 = a (Additive Identity Property)
• a × 1 = a(Multiplicative Identity Property)
• a + (-a) = 0 (Additive Inverse Property)
• a⋅(1/a) = 1 (Multiplicative Inverse Property)
• a × (0) =0 (Zero Property of Multiplication)

Class 11 Trigonometry Formulas

Trigonometry is the science of relationships between the sides and angles of a right-angled triangle. Trigonometric ratios are ratios of sides of the right triangle. Here are some important trigonometric formulas related to trigonometric ratios.

• sin(90° - A) = cos A
• cos(90° - A) = sin A
• tan(90° - A) = cot A
• cot(90° - A) = tan A
• sec(90° - A) = cosec A
• cosec(90° - A) = sec A
• sin² θ + cos² θ = 1 ⇒ sin² θ = 1 - cos² θ ⇒ cos² θ = 1 - sin² θ
• cosec² θ - cot² θ = 1 ⇒ cosec² θ = 1 + cot² θ ⇒ cot² θ = cosec² θ - 1
• sec² θ - tan² θ = 1 ⇒ sec² θ = 1 + tan² θ ⇒ tan² θ = sec² θ - 1
• sin θ cosec θ = 1 ⇒ cos θ sec θ = 1 ⇒ tan θ cot θ = 1

Class 11 Calculus Formulas

Calculus is the branch of mathematics that has immense value in other subjects and studies like physics, biology, chemistry, and economics. Class 11 Calculus formulas are mainly based on the study of the change in a function’s value with respect to a change in the points in its domain. The formulas and concepts of derivatives are highly important as they are applied in many other math topics directly or indirectly. Here are some most important Class 11 Calculus Formulas that students must know and memorize:

• d/dx [f(x) + g (x)] = d/dx [f(x)] + d/dx [g(x)]
• d/dx [f(x) - g (x)] = d/dx [f(x)] - d/dx [g(x)]
• d/dx [f(x) × g (x)] = d/dx [f(x)] × [g(x)] + [f(x)] × d/dx [g(x)]
• d/dx [f(x) / g (x)] = {d/dx [f(x)] × [g(x)] - [f(x)] × d/dx [g(x)]} / g(x)²

Class 11 Coordinate Geometry & Lines Formulas

Coordinate geometry is an important branch of mathematics that establishes a link between algebra and geometry. Class 11 Coordinate Geometry & Lines Formulas are based on the most simple geometric figure, that is, a straight line. By memorizing these formulas students will be able to explore several properties of a straight line and solve various problems based on different scenarios. Thus, it is very important to study these formulas with utmost focus and diligence. 

• Slope m = rise/run = Δy/Δx = y2−y1/x2−x1
• Point-Slope Form y−y1 = m (x−x1)

Applications of Class 11 Maths Formulas 

Class 11 Maths formulas are the cornerstone of numeracy skills. They hold a great significance in our lives. Class 11 math formulas are applied in various calculations of insurance risks, analysis of statistical data taken by a census, and so on. Below are some of the common applications of Class 11 maths formulas.

• Class 11 quadratic equation formulas are used in situations where we can represent the location or value of any object through quadratic equations. For example, for calculating the profit or loss earned through sales we can use these equations.
• Class 11 trigonometry formulas are used to determine height and distance in various fields like the navigation system, architecture, aviation, etc. For instance, these formulas are applied to build parallel and perpendicular walls, inclined roofs, fix tiles, etc. 
• Class 11 statistics and probability formulas are used in the calculation of insurance risks, analysis of statistical data taken by a census, and so on.

Tips to Memorize Class 11 Maths formulas 

Students can follow some useful memorization for Class 11 math formulas that will help them in their exam preparation.

• One of the best ways to memorize formulas is to revise multiple times. Writing down the Class 11 math formulas is a good way to memorize them. Therefore, students should write down complex formulas several times as well as try to solve as many problems by applying them. It will help them to remember it faster.
• Connect appropriate visuals with each math formula to remember it quickly. It will help to recall it later. When concepts are connected to visual memory, it becomes relatively simpler to memorize them. 
• It is necessary to comprehend formulas and concepts to memorize them better. When students will understand the entire reason or process behind a certain formula, it will be easier for them to remember it as it will make more sense then.
• Apply all the formulas as much as possible, understanding the application of the formula helps to retain the information better. Try solving and practicing problems using the formulas.
• Learning and memorizing math formulas requires a lot of effort and practice. Students must be familiarized with the chapters and the concepts and must then try to understand how a formula is derived.

Class 11 Maths Formulas Examples

Example: Find the slope of a line passing through the point (3,  -2) and ( -1, 4).

Solution:

The slope of the line through (3, - 2) and ( -1, 4) is 4 - ( -2) / -1 - 3 

= 6 / -4 

= − 3 / 2 = m

Example: A wheel makes 360 revolutions in one minute. Through how many radians does it turn in one second?

Solution:

Given,

Number of revolutions made by the wheel in 1 minute = 360

1 minute = 60 seconds

Number of revolutions in 1 second = 360/60 = 6

Angle made in 1 revolution = 360°

Angles made in 6 revolutions = 6 × 360°

Radian measure of the angle in 6 revolutions = 6 × 360 × π/180

= 6 × 2 × π

= 12π

You can download the printable Maths Formulas Class 11 sheet from the link given below.