Important math formulas for students

Hey everyone, I was trying to gather some info on essential math formulas that high school students should be familiar with. Does anyone have a list of important math formulas that we should prioritize for studying? Thanks in advance!

Hi there! Sure, I can help you compile a list of essential math formulas for high school students. These formulas are commonly used in algebra, geometry, and trigonometry courses. Here's a list of some important formulas to consider:

1. Algebra:

- Slope-intercept form: y = mx + b (m is the slope and b is the y-intercept)

- Quadratic formula: x = (-b ± √(b²-4ac)) / 2a (used for solving quadratic equations, ax² + bx + c = 0)

- Distance formula: d = √((x₂-x₁)² + (y₂-y₁)²) (used to find the distance between two points in a coordinate plane)

- Pythagorean theorem: a² + b² = c² (used for right-angled triangles)

- Arithmetic series: Sn = n(a₁ + aₙ) / 2 (n: number of terms, a₁: first term, aₙ: last term)

- Geometric series: Sn = a₁(1 - rⁿ) / (1 - r) (n: number of terms, a₁: first term, r: common ratio)

2. Geometry:

- Area of a rectangle: A = lw (l: length, w: width)

- Area of a triangle: A = ½bh (b: base, h: height)

- Area of a circle: A = πr² (r: radius)

- Circumference of a circle: C = 2πr (r: radius)

- Volume of a cylinder: V = πr²h (r: radius, h: height)

- Volume of a rectangular prism: V = lwh (l: length, w: width, h: height)

3. Trigonometry:

- SOHCAHTOA (mnemonic for remembering trigonometric ratios in right-angled triangles)

- Sin(θ) = Opposite / Hypotenuse

- Cos(θ) = Adjacent / Hypotenuse

- Tan(θ) = Opposite / Adjacent

- Sine rule: a/sin(A) = b/sin(B) = c/sin(C) (Used when you know three angles and one side, or two angles and a side opposite one of the angles)

- Cosine rule: c² = a² + b² - 2abcos(C) (Used in non-right triangles when you know three sides or two sides and the included angle)

This list should give you a good starting point. It's important to practice using these formulas in different contexts and problems. Good luck with your studies!