All Maths Formulas

 

Mathematics is a subject that involves a vast array of formulas and equations that serve as the foundation of the subject. These formulas are used to solve a wide range of mathematical problems, from the simplest calculations to the most complex mathematical models used in physics, engineering, and other scientific fields.

The sheer volume of formulas can make it difficult for students to keep track of them all. However, having a comprehensive understanding of these formulas is essential for mastering the subject. In this article, we will provide an overview of all the essential math formulas that students need to know.

Starting with the basic arithmetic formulas, we have formulas for addition, subtraction, multiplication, and division. These are the building blocks of mathematics and are used in more complex formulas throughout the subject.

In algebra, we have formulas for solving linear equations, quadratic equations, and higher-order equations. The Pythagorean theorem, which is used to calculate the length of the sides of a right triangle, is also an important formula in geometry.

Calculus has a wide range of formulas that are used to calculate limits, derivatives, integrals, and other complex mathematical models. These formulas are used extensively in physics and engineering to solve problems related to motion, force, and energy.

In statistics, we have formulas for calculating probability, mean, median, mode, and standard deviation. These formulas are used to analyze data and draw conclusions about various phenomena.

Trigonometry has formulas for calculating the lengths of the sides and angles of triangles, as well as the values of trigonometric functions such as sine, cosine, and tangent. These formulas are used in navigation, astronomy, and other fields that involve angles and distances.

In conclusion, mathematics is a subject that involves a vast array of formulas and equations, each with its own unique purpose and application. Understanding these formulas is essential for mastering the subject and solving mathematical problems with ease. With consistent practice and a thorough understanding of these formulas, students can excel in mathematics and even go on to pursue careers in science, engineering, and other fields that require a strong mathematical background.

Mathematics is a subject that involves a lot of formulas. From algebraic equations to geometric theorems, there are numerous formulas that students need to remember. However, keeping track of all these formulas can be challenging, and it's easy to get overwhelmed. That's why we've created this comprehensive guide to all maths formulas.

In this guide, you'll find all the essential formulas that you need to know in order to excel in mathematics. We've divided the formulas into different categories for ease of understanding. Let's take a closer look.

 

 Basic Arithmetic Formulas:

• Addition: a + b = c

• Subtraction: a - b = c

• Multiplication: a x b = c

• Division: a ÷ b = c

Algebraic Formulas

Algebra is the branch of mathematics that deals with equations and variables. Here are some of the essential algebraic formulas that you need to know:

1. Quadratic Formula: x = (-b ± √(b²-4ac))/2a

2. Distance Formula: d = √((x₂ - x₁)² + (y₂ - y₁)²)

3. Slope Formula: m = (y₂ - y₁)/(x₂ - x₁)

4. Pythagorean Theorem: a² + b² = c²

5. Exponential Formula: a^x * a^y = a^(x+y)

Trigonometric Formulas

Trigonometry is the branch of mathematics that deals with the relationships between angles and sides in triangles. Here are some of the essential trigonometric formulas that you need to know:

1. Sine formula: sinθ = opposite/hypotenuse

2. Cosine formula: cosθ = adjacent/hypotenuse

3. Tangent formula: tanθ = opposite/adjacent

4. Pythagorean identity: sin^2θ + cos^2θ = 1

Geometry Formulas:

• Area of a rectangle: A = lw

• Area of a triangle: A = (1/2)bh

• Area of a circle: A = πr^2

• Circumference of a circle: C = 2πr

• Volume of a sphere: V = (4/3)πr^3

Trigonometry Formulas:

• Sine formula: sinθ = opposite/hypotenuse

• Cosine formula: cosθ = adjacent/hypotenuse

• Tangent formula: tanθ = opposite/adjacent

• Pythagorean identity: sin^2θ + cos^2θ = 1

Calculus Formulas:

• Derivative of a function: f'(x) = lim(h → 0)[f(x + h) - f(x)]/h

• Chain rule: (f(g(x)))' = f'(g(x)) * g'(x)

• Integration by substitution: ∫f(g(x))g'(x)dx = ∫f(u)du

• Fundamental theorem of calculus: ∫a^b f(x)dx = F(b) - F(a)

Statistics Formulas:

• Mean formula: μ = (Σxi)/n

• Median formula: Median = (n + 1)/2th term

• Mode formula: Mode = value that appears most frequently in a dataset

• Standard deviation formula: σ = sqrt[Σ(xi - μ)^2/n]

• Correlation coefficient formula: r = (Σxy - (Σx)(Σy)/n) / [sqrt(Σx^2 - (Σx)^2/n) * sqrt(Σy^2 - (Σy)^2/n)]

These are just a few examples of the many mathematical formulas that exist. 

 

        by.msn