Maths Formula Sheet Online

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Algebra Formulas

Quadratic Formula

x = (-b ± √(b²-4ac)) / 2a

Difference of Squares

a² - b² = (a+b)(a-b)

Square of Sum

(a+b)² = a² + 2ab + b²

Square of Difference

(a-b)² = a² - 2ab + b²

Sum of Cubes

a³ + b³ = (a+b)(a²-ab+b²)

Cube of Sum

(a+b)³ = a³ + 3a²b + 3ab² + b³

Geometry Formulas

Area of Circle

A = πr²

Circumference

C = 2πr

Area of Triangle

A = ½ × b × h

Area of Rectangle

A = l × w

Pythagoras Theorem

a² + b² = c²

Volume of Sphere

V = (4/3)πr³

Volume of Cylinder

V = πr²h

Trigonometry Formulas

Pythagorean Identity

sin²θ + cos²θ = 1

Tangent Identity

tan θ = sin θ / cos θ

Sine of Sum

sin(A+B) = sinA cosB + cosA sinB

Cosine of Sum

cos(A+B) = cosA cosB - sinA sinB

Double Angle Sine

sin 2θ = 2 sinθ cosθ

Law of Sines

a/sinA = b/sinB = c/sinC

Calculus Formulas

Power Rule

d/dx [xⁿ] = n·xⁿ⁻¹

Sum Rule

d/dx [f+g] = f' + g'

Product Rule

(fg)' = f'g + fg'

Quotient Rule

(f/g)' = (f'g - fg') / g²

Chain Rule

d/dx [f(g(x))] = f'(g(x))·g'(x)

Integral of xⁿ

∫ xⁿ dx = xⁿ⁺¹/(n+1) + C

Statistics Formulas

Mean

x̄ = (Σx) / n

Variance

σ² = Σ(x-x̄)² / n

Standard Deviation

σ = √(Σ(x-x̄)² / n)

Probability

P(A) = favorable / total

Combination

nCr = n! / (r!(n-r)!)

Permutation

nPr = n! / (n-r)!

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Maths Formula Sheet

How to Use

Frequently Asked Questions

Maths Formula Sheet

How to Use

Frequently Asked Questions

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