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Formula Reference
Algebra
- • Quadratic: x = (-b ± √(b²-4ac)) / 2a
- • Difference of squares: a²-b² = (a+b)(a-b)
- • Binomial: (a+b)² = a² + 2ab + b²
Trigonometry
- • sin²θ + cos²θ = 1
- • tan θ = sin θ / cos θ
- • sin(2θ) = 2 sin θ cos θ
Calculus
- • d/dx [xⁿ] = n·xⁿ⁻¹
- • ∫xⁿ dx = xⁿ⁺¹/(n+1) + C
- • d/dx [sin x] = cos x
Statistics
- • Mean: μ = Σxᵢ / n
- • Std Dev: σ = √(Σ(xᵢ-μ)²/n)
- • IQR = Q3 - Q1
