New general maths

Here are some new general math concepts and formulas that you might find useful:

Algebra

  1. Quadratic Formula: x = (-b ± √(b² - 4ac)) / 2a
  2. Cubic Formula: x = (-b ± √(b² - 3ac)) / 3a
  3. Polynomial Long Division: Divide a polynomial by another polynomial using long division.

Geometry

  1. Area of a Circle: A = πr²
  2. Circumference of a Circle: C = 2πr
  3. Volume of a Sphere: V = (4/3)πr³
  4. Surface Area of a Sphere: SA = 4πr²

Trigonometry

  1. Sine, Cosine, and Tangent: sin(a) = opposite side / hypotenuse, cos(a) = adjacent side / hypotenuse, tan(a) = opposite side / adjacent side
  2. Pythagorean Identity: sin²(a) + cos²(a) = 1
  3. Sum and Difference Formulas: sin(a ± b) = sin(a)cos(b) ± cos(a)sin(b), cos(a ± b) = cos(a)cos(b) ± sin(a)sin(b)

Statistics and Probability

  1. Mean: μ = (Σx) / n
  2. Median: Median = middle value of a sorted dataset
  3. Mode: Mode = most frequently occurring value in a dataset
  4. Standard Deviation: σ = √[(Σ(x - μ)²) / (n - 1)]
  5. Probability: P(A) = number of favorable outcomes / total number of outcomes

Number Theory

  1. Fibonacci Sequence: 0, 1, 1, 2, 3, 5, 8, 13,...
  2. Prime Numbers: numbers that are divisible only by 1 and themselves
  3. Greatest Common Divisor (GCD): GCD(a, b) = largest integer that divides both a and b

These are just a few examples of new general math concepts and formulas. There are many more out there, and I'm happy to help you learn more if you're interested!