9 formulas across all subjects
Pythagorean Identity (Primary)
sin²θ + cos²θ = 1
Double Angle — Sine
sin(2θ) = 2 sinθ cosθ
Double Angle — Cosine
cos(2θ) = cos²θ − sin²θ = 1 − 2sin²θ = 2cos²θ − 1
Sum of Angles — Sine
sin(A + B) = sinA cosB + cosA sinB
Product Rule of Logarithms
log(AB) = log A + log B
Quotient Rule of Logarithms
log(A/B) = log A − log B
Hydrostatic Pressure
P = ρgh
Bernoulli's Equation
P₁/γ + v₁²/2g + z₁ = P₂/γ + v₂²/2g + z₂
Centroid X-coordinate
x̄ = Σ(Aᵢ × xᵢ) / ΣAᵢ