Trigonometry
a^2 + b^2 = c^2
Pythagoras' Theorem
f(x) = x^n
f'(x) = nx^(n-1)
Power Rule
F = ma
Newton's 2nd Law
C/D
Pi / π
nCr = n!/(r!(n-r)!)
Binomial Coefficient
Double Angle Formulae
f(x) = a^x
f'(x) = (lna)a^x
Exponential Rule
F = G(m1)(m2)/r^2
Universal Law of Gravitation
sqrt2
Euler's Constant
P(A|B) = P(B|A)P(A)/P(B)
Bayes' Theorem
sin^2(x) + cos^2(x) = 1
Pythagoras' Trigonometric Theorem
f(x) = 1/u(x)
f'(x) = -u'(x)/u(x)^2
Reciprocal Rule
pV = nRT
Ideal Gas Law
Euler's Constant / e
sinx ≈ tanx ≈ x
Small-angle Approximation
a/sinA = b/sinB = c/sinC = 2R
Sine Law / Sine Rule
f(x) = u(x)v(x)
f'(x) = u'(x)v(x) + u(x)v'(x)
Product Rule
V = IR
Ohm's Law
(1+sqrt5)/2
Golden Ratio / φ
∫(∞,-∞)e^(-x^2) = sqrtπ
Gaussian Integral
a^2 = b^2 + c^2 - 2bcsinA
Cosine Law / Cosine Rule
f(x) = u(v(x))
f'(x) = u'(v(x))v'(x)
Chain Rule
E = hf
Planck Relation
1 + sqrt2
Silver Ratio / δ_s
e^iπ + 1 = 0
Euler's Identity