School cheatsheet
Core formulas for printing
Algebra
- (a+b)² = a² + 2ab + b²
- (a−b)² = a² − 2ab + b²
- a² − b² = (a−b)(a+b)
- a³ + b³ = (a+b)(a² − ab + b²)
- x = (−b ± √(b²−4ac)) / 2a
- aᵐ·aⁿ = aᵐ⁺ⁿ
- (aᵐ)ⁿ = aᵐⁿ
- log(ab) = log a + log b
- √(ab) = √a·√b
- a⁻ⁿ = 1/aⁿ
Geometry
- S△ = ah/2
- S△ = ab·sinC/2
- S○ = πr²
- C = 2πr
- Vкуба = a³
- Vцил = πr²h
- Vконуса = πr²h/3
- Vкулі = 4πr³/3
- c² = a² + b²
- Sсфери = 4πr²
Trigonometry
- sin²α + cos²α = 1
- tan α = sinα/cosα
- sin(α+β) = sinαcosβ + cosαsinβ
- cos(α+β) = cosαcosβ − sinαsinβ
- sin 2α = 2sinαcosα
- cos 2α = cos²α − sin²α
- a/sinA = b/sinB = c/sinC
- c² = a² + b² − 2ab·cosC
Physics
- v = s/t
- a = (v−v₀)/t
- s = v₀t + at²/2
- F = ma
- Eк = mv²/2
- Eп = mgh
- p = mv
- P = W/t
- U = IR
- P = UI
- Q = cmΔT
- ρ = m/V