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
| Formula | Title | Category |
|---|---|---|
| a + 0 = a | Additive Identity Element | Basic |
| a + (-a) = 0 | Additive Inverse Element | Basic |
| cos( ? + ? ) = cos( ? )cos( ? ) – sin( ? )sin( ? ) | Angle Addition Identity of Cosine | Trigonometry |
| sin( ? + ? ) = sin( ? )cos( ? ) + cos( ? )sin( ? ) | Angle Addition Identity of Sine | Trigonometry |
| cos( ? – ? ) = cos( ? )cos( ? ) + sin( ? )sin( ? ) | Angle Subtraction Identity of Cosine | Trigonometry |
| sin( ? – ? ) = sin( ? )cos( ? ) – cos( ? )sin( ? ) | Angle Subtraction Identity of Sine | Trigonometry |
| pi = 3.14159265359 | Archimedes’ Constant (?) | Trigonometry |
| A = ? * r^2 | Area of a circle | Geometry |
| (?/360) * pi * r^2 | Area of a Circle Sector (? in degrees) | Geometry |
| (?/2 * pi) * pi * r^2 | Area of a Circle Sector (? in radians) | Geometry |
| A = a^2 | Area of a square | Geometry |
| A = h/2 * (b1 + b2) | Area of a trapezoid | Geometry |
| A = 1/2 * b * h | Area of a triangle | Geometry |
| A = ? * r1 * r2 | Area of an ellipse | Geometry |
| A = ?(3)/4 * a^2 | Area of an equilateral triangle | Geometry |
| A = b * h | Area of any parallelogram (rectangle, square, etc) | Geometry |
| An = A1 + (n – 1)d | Arithmetic Last Term | Precalculus |
| Sn = n( A1 + An ) / 2 | Arithmetic Partial Sum | Precalculus |
| (a + b) + c = a + (b + c) | Associative Property of Addition | Basic |
| (a * b) * c = a * (b * c) | Associative Property of Multiplication | Basic |
| ax^2 + bx +c = 0 | Basic quadratic equation | Algebra |
| (x+y)^2 = x^2 + 2xy + y^2 | Binomial formula (addition) | Algebra |
| (x-y)^2 = x^2 – 2xy + y^2 | Binomial formula (subtraction) | Algebra |
| G = 0.915965594177219015 | Catalan’s Constant | |
| C = pi * 2r | Circumference of a Circle | Geometry |
| csc( ?/2 – ? ) = sec( ? ) | Cofunction Identity of Cosecant | Trigonometry |
| cos( ?/2 – ? ) = sin( ? ) | Cofunction Identity of Cosine | Trigonometry |
| cot( ?/2 – ? ) = tan( ? ) | Cofunction Identity of Cotangent | Trigonometry |
| sec( ?/2 – ? ) = csc( ? ) | Cofunction Identity of Secant | Trigonometry |
| sin( ?/2 – ? ) = cos( ? ) | Cofunction Identity of Sine | Trigonometry |
| tan( ?/2 – ? ) = cot( ? ) | Cofunction Identity of Tangent | Trigonometry |
| a + b = b + a | Communitive Property of Addition | Basic |
| a * b = b * a | Communitive Property of Multiplication | Basic |
| ? = 1.30357 | Conway’s Constant (?) | |
| csc(-?) = -csc(?) | Cosecant even-odd identity | Trigonometry |
| cos(-?) = cos(?) | Cosine even-odd identity | Trigonometry |
| cot(-?) = -cot(?) | Cotangent even-odd identity | Trigonometry |
| a / b = a( 1 / b ) | Definition of Division | Basic |
| a^n = a * a * a…(n times) | Definition of Exponentation | Basic |
| a*n = a + a + a…(n times) | Definition of Multiplication | Basic |
| a – b = a + (-b) | Definition of Subtraction | Basic |
| ( f(x + h) � f(x) ) / h | Difference Quotient | Calculus |
| ?( [x2 – x1]^2 + [y2 – y1]^2 ) | Distance Formula | Trigonometry |
| a(b + c) = ab + ac | Distributive Law | Algebra |
| 2cos^2(x) = 1 + cos(2x) | Double Cosine Formula | Trigonometry |
| 2sin^2(x) = 1 – cos(2x) | Double Sine Formula | Trigonometry |
| cos(2x) = cos^2(x) – sin^2(x) | Double-angle Cosine Formula | Trigonometry |
| sin(2x) = 2 sin x cos x | Double-angle Sine Formula | Trigonometry |
| tan(2x) = 2 tan(x) / (1 – tan^2(x)) | Double-angle Tangent Formula | Trigonometry |
| y = ax^2 + bx + c | Equation for a Parabola (Standard Form) | Precalculus |
| y = a(x – h)^2 + k | Equation for a Parabola (Vertex Form) | Precalculus |
| (x � h)^2 + (y – k)^2 = r^2 | Equation of a Circle (Cartesian Coordinates) | Precalculus |
| x(t) = r cos(t) + h | Equation of a Circle (Parametric Coordinates, X Value) | Precalculus |
| y(t) = r sin(t) + k | Equation of a Circle (Parametric Coordinates, Y Value) | Precalculus |
| r2 – 2cr cos(0 – ?) + c2 = a2 | Equation of a Circle (Polar Coordinates) | Precalculus |
| ? = 0.57721 | Euler�Mascheroni Constant (?) | |
| e^(i*pi)+1=0 | Euler’s Identity | Precalculus |
| e = 2.7182818284 | Euler’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 |
| ? = 4.669201609102990671 | Feigenbaum constants | |
| An = A1 * r^(n � 1) | Geometric Last Term | Precalculus |
| Sn = A1 * ( 1 � r^n ) / ( 1 � r ) | Geometric Partial Sum | Precalculus |
| ? = 1.61803398874 | Golden Ratio (?) | |
| csc(0) = 1 / sin(0) = h / a | Identity Formula for Cosecant | Trigonometry |
| cos(0) = b / h | Identity Formula for Cosine | Trigonometry |
| cot(0) = cos(0) / sin(0) = b / a | Identity Formula for Cotangent | Trigonometry |
| sec(0) = 1 / cos(0) = h / b | Identity Formula for Secant | Trigonometry |
| sin(0) = a / h | Identity Formula for Sine | Trigonometry |
| tan(0) = sin(0) / cos(0) = a / b | Identity Formula for Tangent | Trigonometry |
| i = ?(-1) | Imaginary Unit (i) | Precalculus |
| K = 2.6854520010 | Khinchin’s Constant (K) | |
| c^2 = a^2 + b^2 – 2ab cos(C) | Law of Cosines | Trigonometry |
| a/sin(A) = b/sin(B) = c/sin(C) | Law of Sines | Trigonometry |
| (a – b)/(a + b) = tan [(A-B)/2] / tan [(A+B)/2] | Law of Tangents | Trigonometry |
| ? * (pi/180) * r | Length of a Circular Arc (? in degrees) | Geometry |
| ? * r | Length of a Circular Arc (? in radians) | Geometry |
| y = mx + b | Linear Equation | Geometry |
| e = mc^2 | Mass-energy equivalence | Physics |
| a * 0 = 0 | Multiplicative Absorption Element | Basic |
| a * 1 = a | Multiplicative Identity Element | Basic |
| a * (1/a) = 1 | Multiplicative Inverse Element | Basic |
| a^(-n) = 1/(a^n) | Multiplicative Inverse Property of Exponents | Algebra |
| a * -1 = -a | Negation Property of Multiplication | Basic |
| x = 1/2(n)(n-3) | Number of diagonals in a polygon | Geometry |
| P = pi * 2 * r | Perimeter of a Circle (aka Circumference) | Geometry |
| P = 2w + 2l | Perimeter of a Rectangle | Geometry |
| P = 4s | Perimeter of a Square | Geometry |
| P = a + b + c | Perimeter of a Traingle | Geometry |
| P = a + b + c +… | Perimeter of any polygon | Geometry |
| (a^c) * (b^c) = (ab)^c | Power of a Product Property | Algebra |
| a^(n)*a^(m) = a^(n+m) | Product of Exponents Property | Algebra |
| ?(2) = 1.4142135623 | Pythagoras’s constant (?2) | |
| cos^2(?) + sin^2(?) = 1 | Pythagorean Identity | Geometry |
| x = (-b +/- ?(4ac)) / 2a | Quadratic Equation | Algebra |
| (a ^ x)/(a ^ y) = a^(x � y) | Quotient of Powers Property | Algebra |
| R? = 1.097373156 x 10^7m^-1 | Rydberg constant | |
| sec(-?) = sec(?) | Secant even-odd identity | Trigonometry |
| sin(-?) = -sin(?) | Sine even-odd identity | Trigonometry |
| S = 6a^2 | Surface Area of a Cube | Geometry |
| S = 2lw + 2lh + 2wh | Surface Area of a Rectangular Prism | Geometry |
| S = 4 * pi * r^2 | Surface Area of a Sphere | Geometry |
| S = 2 * pi * r^2 + 2 * pi * r * h | Surface Area of Cylinder | Geometry |
| tan(-?) = -tan(?) | Tangent even-odd identity | Geometry |
| V = (1/3) * ? * r^2 * h | Volume of a Cone | Geometry |
| V = s^3 | Volume of a Cube | Geometry |
| V = (1/3) * b * h | Volume of a Pyramid | Geometry |
| V = l * w * h | Volume of a Rectangular Prism | Geometry |
| V = (4/3) * ? * r^3 | Volume of a Sphere | Geometry |
| V = b * h | Volume of an Irregular Prism | Geometry |
| A^0 = 1 | Zero Property of Exponents | Algebra |
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