Basic formulas in mathematics ?

1. Area of a rectangle: A = l x w
2. Perimeter of a rectangle: P = 2(l + w)
3. Area of a circle: A = πr^2
4. Circumference of a circle: C = 2πr
5. Pythagorean theorem: a^2 + b^2 = c^2
6. Slope of a line: m = (y2 - y1) / (x2 - x1)
7. Quadratic formula: x = (-b ± √(b^2 - 4ac)) / 2a
8. Distance formula: d = √((x2 - x1)^2 + (y2 - y1)^2)
9. Volume of a cube: V = s^3
10. Surface area of a sphere: A = 4πr^2

Arithmetic

- Addition: a + b
- Subtraction: a - b
- Multiplication: a × b
- Division: a ÷ b

Algebra

- Linear equation: ax + b = c
- Quadratic equation: ax² + bx + c = 0
- Slope-intercept form: y = mx + b

Geometry

- Area of a triangle: ½ × base × height
- Area of a rectangle: length × width
- Area of a circle: πr²
- Circumference of a circle: 2πr

Trigonometry

- Sine: sin(θ) = opposite / hypotenuse
- Cosine: cos(θ) = adjacent / hypotenuse
- Tangent: tan(θ) = opposite / adjacent

Calculus

- Derivative of a constant function: 0
- Derivative of a power function: d/dx(x^n) = nx^(n-1)
- Integral of a constant function: Cx
- Integral of a power function: ∫x^n dx = (1/(n+1))x^(n+1)

Probability

- Probability of an event: P(E) = number of favorable outcomes / total number of outcomes
- Conditional probability: P(A|B) = P(A and B) / P(B)
- Independent events: P(A and B) = P(A) × P(B)

Statistics

- Mean: (sum of values) / (number of values)
- Median: the middle value when the data is sorted
- Mode: the most frequently occurring value
- Standard deviation: a measure of how spread out the data is

Other Formulas

- Pythagorean theorem: a² + b² = c²
- Exponential function: y = e^x
- Logarithmic function: log(x) = y
- Distance formula: d = √((x2 - x1)² + (y2 - y1)²)
- Equation of a line: y - y1 = m(x - x1)