Basic Math Formulas and Math Equations List

The post is based on basic math equations that are generally used in daily life. The math formulas that we are going to show here not limited to education level these are used in business and dynamic projects.

The formulas math is based on area, angle, arithmetic, quadratic, equation, factoring, law, power, and volume. You can take all formulas in excel or bookmark them on your browser to access them again.

List Of Math Equations

FormulaTitleCategory
a + 0 = aAdditive Identity ElementBasic
a + (-a) = 0Additive Inverse ElementBasic
cos( ? + ? ) = cos( ? )cos( ? ) – sin( ? )sin( ? )Angle Addition Identity of CosineTrigonometry
sin( ? + ? ) = sin( ? )cos( ? ) + cos( ? )sin( ? )Angle Addition Identity of SineTrigonometry
cos( ? – ? ) = cos( ? )cos( ? ) + sin( ? )sin( ? )Angle Subtraction Identity of CosineTrigonometry
sin( ? – ? ) = sin( ? )cos( ? ) – cos( ? )sin( ? )Angle Subtraction Identity of SineTrigonometry
pi = 3.14159265359Archimedes’ Constant (?)Trigonometry
A = ? * r^2Area of a circleGeometry
(?/360) * pi * r^2Area of a Circle Sector (? in degrees)Geometry
(?/2 * pi) * pi * r^2Area of a Circle Sector (? in radians)Geometry
A = a^2Area of a squareGeometry
A = h/2 * (b1 + b2)Area of a trapezoidGeometry
A = 1/2 * b * hArea of a triangleGeometry
A = ? * r1 * r2Area of an ellipseGeometry
A = ?(3)/4 * a^2Area of an equilateral triangleGeometry
A = b * hArea of any parallelogram (rectangle, square, etc)Geometry
An = A1 + (n – 1)dArithmetic Last TermPrecalculus
Sn = n( A1 + An ) / 2Arithmetic Partial SumPrecalculus
(a + b) + c = a + (b + c)Associative Property of AdditionBasic
(a * b) * c = a * (b * c)Associative Property of MultiplicationBasic
ax^2 + bx +c = 0Basic quadratic equationAlgebra
(x+y)^2 = x^2 + 2xy + y^2Binomial formula (addition)Algebra
(x-y)^2 = x^2 – 2xy + y^2Binomial formula (subtraction)Algebra
G = 0.915965594177219015Catalan’s Constant
C = pi * 2rCircumference of a CircleGeometry
csc( ?/2 – ? ) = sec( ? )Cofunction Identity of CosecantTrigonometry
cos( ?/2 – ? ) = sin( ? )Cofunction Identity of CosineTrigonometry
cot( ?/2 – ? ) = tan( ? )Cofunction Identity of CotangentTrigonometry
sec( ?/2 – ? ) = csc( ? )Cofunction Identity of SecantTrigonometry
sin( ?/2 – ? ) = cos( ? )Cofunction Identity of SineTrigonometry
tan( ?/2 – ? ) = cot( ? )Cofunction Identity of TangentTrigonometry
a + b = b + aCommunitive Property of AdditionBasic
a * b = b * aCommunitive Property of MultiplicationBasic
? = 1.30357Conway’s Constant (?)
csc(-?) = -csc(?)Cosecant even-odd identityTrigonometry
cos(-?) = cos(?)Cosine even-odd identityTrigonometry
cot(-?) = -cot(?)Cotangent even-odd identityTrigonometry
a / b = a( 1 / b )Definition of DivisionBasic
a^n = a * a * a…(n times)Definition of ExponentationBasic
a*n = a + a + a…(n times)Definition of MultiplicationBasic
a – b = a + (-b)Definition of SubtractionBasic
( f(x + h) � f(x) ) / hDifference QuotientCalculus
?( [x2 – x1]^2 + [y2 – y1]^2 )Distance FormulaTrigonometry
a(b + c) = ab + acDistributive LawAlgebra
2cos^2(x) = 1 + cos(2x)Double Cosine FormulaTrigonometry
2sin^2(x) = 1 – cos(2x)Double Sine FormulaTrigonometry
cos(2x) = cos^2(x) – sin^2(x)Double-angle Cosine FormulaTrigonometry
sin(2x) = 2 sin x cos xDouble-angle Sine FormulaTrigonometry
tan(2x) = 2 tan(x) / (1 – tan^2(x))Double-angle Tangent FormulaTrigonometry
y = ax^2 + bx + cEquation for a Parabola (Standard Form)Precalculus
y = a(x – h)^2 + kEquation for a Parabola (Vertex Form)Precalculus
(x � h)^2 + (y – k)^2 = r^2Equation of a Circle (Cartesian Coordinates)Precalculus
x(t) = r cos(t) + hEquation of a Circle (Parametric Coordinates, X Value)Precalculus
y(t) = r sin(t) + kEquation of a Circle (Parametric Coordinates, Y Value)Precalculus
r2 – 2cr cos(0 – ?) + c2 = a2Equation of a Circle (Polar Coordinates)Precalculus
? = 0.57721Euler�Mascheroni Constant (?)
e^(i*pi)+1=0Euler’s IdentityPrecalculus
e = 2.7182818284Euler’s Number (e)Precalculus
x^2 – y^2 = (x – y)(x + y)Factoring formula (2nd-power)Algebra
x^3 – y^3 = (x – y)(x^2 + 2xy + y^2)Factoring formula (3rd-power)Algebra
? = 4.669201609102990671Feigenbaum constants
An = A1 * r^(n � 1)Geometric Last TermPrecalculus
Sn = A1 * ( 1 � r^n ) / ( 1 � r )Geometric Partial SumPrecalculus
? = 1.61803398874Golden Ratio (?)
csc(0) = 1 / sin(0) = h / aIdentity Formula for CosecantTrigonometry
cos(0) = b / hIdentity Formula for CosineTrigonometry
cot(0) = cos(0) / sin(0) = b / aIdentity Formula for CotangentTrigonometry
sec(0) = 1 / cos(0) = h / bIdentity Formula for SecantTrigonometry
sin(0) = a / hIdentity Formula for SineTrigonometry
tan(0) = sin(0) / cos(0) = a / bIdentity Formula for TangentTrigonometry
i = ?(-1)Imaginary Unit (i)Precalculus
K = 2.6854520010Khinchin’s Constant (K)
c^2 = a^2 + b^2 – 2ab cos(C)Law of CosinesTrigonometry
a/sin(A) = b/sin(B) = c/sin(C)Law of SinesTrigonometry
(a – b)/(a + b) = tan [(A-B)/2] / tan [(A+B)/2]Law of TangentsTrigonometry
? * (pi/180) * rLength of a Circular Arc (? in degrees)Geometry
? * rLength of a Circular Arc (? in radians)Geometry
y = mx + bLinear EquationGeometry
e = mc^2Mass-energy equivalencePhysics
a * 0 = 0Multiplicative Absorption ElementBasic
a * 1 = aMultiplicative Identity ElementBasic
a * (1/a) = 1Multiplicative Inverse ElementBasic
a^(-n) = 1/(a^n)Multiplicative Inverse Property of ExponentsAlgebra
a * -1 = -aNegation Property of MultiplicationBasic
x = 1/2(n)(n-3)Number of diagonals in a polygonGeometry
P = pi * 2 * rPerimeter of a Circle (aka Circumference)Geometry
P = 2w + 2lPerimeter of a RectangleGeometry
P = 4sPerimeter of a SquareGeometry
P = a + b + cPerimeter of a TraingleGeometry
P = a + b + c +…Perimeter of any polygonGeometry
(a^c) * (b^c) = (ab)^cPower of a Product PropertyAlgebra
a^(n)*a^(m) = a^(n+m)Product of Exponents PropertyAlgebra
?(2) = 1.4142135623Pythagoras’s constant (?2)
cos^2(?) + sin^2(?) = 1Pythagorean IdentityGeometry
x = (-b +/- ?(4ac)) / 2aQuadratic EquationAlgebra
(a ^ x)/(a ^ y) = a^(x � y)Quotient of Powers PropertyAlgebra
R? = 1.097373156 x 10^7m^-1Rydberg constant
sec(-?) = sec(?)Secant even-odd identityTrigonometry
sin(-?) = -sin(?)Sine even-odd identityTrigonometry
S = 6a^2Surface Area of a CubeGeometry
S = 2lw + 2lh + 2whSurface Area of a Rectangular PrismGeometry
S = 4 * pi * r^2Surface Area of a SphereGeometry
S = 2 * pi * r^2 + 2 * pi * r * hSurface Area of CylinderGeometry
tan(-?) = -tan(?)Tangent even-odd identityGeometry
V = (1/3) * ? * r^2 * hVolume of a ConeGeometry
V = s^3Volume of a CubeGeometry
V = (1/3) * b * hVolume of a PyramidGeometry
V = l * w * hVolume of a Rectangular PrismGeometry
V = (4/3) * ? * r^3Volume of a SphereGeometry
V = b * hVolume of an Irregular PrismGeometry
A^0 = 1Zero Property of ExponentsAlgebra

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