# Tag - formulas

## PERIODIC FORMULAS

A function is defined as a relation which possesses one output value for each permissible or allowable input value. The period of a function is the number “T” such that so, if a number is fixed and θθ is any angle, we have the following [...]

## PERMUTATIONS AND COMBINATIONS FORMULAS

To count the number of ways a thing can happen, the possibility, permutation and combination is used. It involves with arrangements of the objects in various ways that they can be ordered whereas combination is all about selecting the objects and the order of [...]

## SURFACE AREA FORMULAS

Surface Area of an object is the total area of the outside surfaces of the three dimensional object i.e, the total sum of the area of the faces of the object. It is measured in terms of square unit. The surface area is the [...]

## FACTORING FORMULAS

Factoring is nothing but breaking down a number or a polynomial into product of its factor which when multiplied together gives the original. Factoring Formula for sum/difference of two nth powers are, PRODUCT FORMULAS a2−b2=(a−b)(a+b)a2−b2=(a−b)(a+b) a3−b3=(a−b)(a2+ab+b2)a3−b3=(a−b)(a2+ab+b2) a3+b3=(a+b)(a2−ab+b2)a3+b3=(a+b)(a2−ab+b2) a4−b4=(a−b)(a+b)(a2−ab+b2)a4−b4=(a−b)(a+b)(a2−ab+b2) a5−b5=(a−b)(a4+a3b+a2b2+ab3+b4)a5−b5=(a−b)(a4+a3b+a2b2+ab3+b4) Product Formulas (a+b)2=a2+2ab+b2(a+b)2=a2+2ab+b2 (a−b)2=a2−2ab+b2(a−b)2=a2−2ab+b2 (a+b)3=a3+3a2b+3ab2+b3(a+b)3=a3+3a2b+3ab2+b3 (a−b)3=a3−3a2b+3ab2−b3(a−b)3=a3−3a2b+3ab2−b3 (a+b)4=a4+4a3b+6a2b2+4ab3+b4(a+b)4=a4+4a3b+6a2b2+4ab3+b4 (a−b)4=a4−4a3b+6a2b2−4ab3+b4(a−b)4=a4−4a3b+6a2b2−4ab3+b4 (a+b+c)2=a2+b2+c2+2ab+2ac+2bc(a+b+c)2=a2+b2+c2+2ab+2ac+2bc (a+b+c+…)2=a2+b2+c2+…+2(ab+ac+bc+…)

## TRIGONOMETRY FORMULAS

The branch of mathematics that majorly deals with triangle is Trigonometry. Trigonometry is also known as the study of triangles and angles. Sometimes, it also deals with circles and more. The relationship between the elements on a triangle are defined by way of trigonometry. [...]

## SUBTRACTION FORMULAS

With trigonometry values, and subtraction formulas it is going to be easy to solve the complicated expression or finding an exact value. When the difference of two angles are needed, then subtraction formula can be used for the exact values. The Sin subtraction formula of [...]

## Basic Math Formulas

The Basic Math Formula is an equality containing one or more variables. Solving the equation consists of determining which values of the variables make the equality true. The Basic Math Formulas includes various equations as the following: Average formulas Fraction formulas Percentage formulas Formula [...]

## AREA FORMULAS

Area is the size of a two-dimensional surface.  It is defined as the amount of two-dimensional space occupied by an object. Area formulas have many practical applications in building, farming, architecture, science. The area of a shape can be determined by placing the shape [...]

## ALGEBRA FORMULAS

Algebra is a branch of Mathematics that substitutes letters for numbers. An algebraic equation depicts a scale, what is done on one side of the scale with a number is also done to either side of the scale. The numbers are constants. Algebra also [...]

## [Aptitude] Permutation Combination made easy without Formulas

If the following questions make you uncomfortable, then read this article. In how many ways can 5 member committee be formed out of 20 students? Or How many ways can the word “UPSC” be arranged so that “U” is always second from left. In [...]

## [Aptitude] PnC: How many Ways to arrange letters of word “RECUPERATE” (Permutation without Formulas)

When you form words using alphabets (or letters), the ‘order’ matters. Three alphabets T,A,C Now you form words: CAT is not same as ACT; both words have different meanings hence order matters. This is a permuation problem. Case 1: All letters are different Case 2: Word [...]

## [Aptitude] Compound Interest Rate, Population Growth without Formulas

Introduction Case: City’s population: Growth Case: City’s Population: Decline Case: Bank’s compound interest rate(CI) Case: CI →Finding Nemo Principal Case: Compounding Twice a Year Case: Compounding thrice a year Case: Wine Replacement (Adulteration) Approach 1: Alligiation loop Approach #2: Compound Interest Case: Adulteration→Finding [...]