1. Sets:
A ∪ B = Union
A ∩ B = Intersection
n(A ∪ B) = n(A) + n(B) - n(A ∩ B)
2. Relations & Functions:
f(x) = y
Domain = input values
Range = output values
3. Trigonometry:
sin²θ + cos²θ = 1
1 + tan²θ = sec²θ
1 + cot²θ = cosec²θ
sin(A+B) = sinA cosB + cosA sinB
cos(A+B) = cosA cosB - sinA sinB
4. Complex Numbers:
i² = -1
(a+bi)(c+di) = (ac-bd) + (ad+bc)i
5. Quadratic Equations:
ax² + bx + c = 0
x = [-b ± √(b²-4ac)] / 2a
6. Permutation & Combination:
nPr = n! / (n-r)!
nCr = n! / [r!(n-r)!]
7. Binomial Theorem:
(a+b)^n = Σ nCr a^(n-r) b^r
8. Sequence & Series: