## MULTIPLE ANGLE

A multiple angle is an angle which is written as a multiple of single function. Example for multiple angles Multiple angle formulas: 1. 2. 3.     Question1 : Solve Solution Consider the equation...

## TRIGONOMETRIC RATIOS OF ALLIED ANGLES

Two angles are allied if their sum or difference is a multiple of 90o. If is any angle, then etc are called as allied angles. General trigonometric ratios and allied terms are listed below:...

## RELATION BETWEEN DEGREES AND RADIANS

Relation between Degrees and Radians A radian is a measure of an angle, indicating the ratio between the arc length and the radius of a circle, which is expressed as follows: Since, the arc...

## SYSTEM OF MEASUREMENT OF ANGLES

Angle Definition An angle is formed by two rays that with common endpoints, where, ray is the straight line. One ray is called the initial side and other one is called as terminal side....

## PROPERTIES OF ARITHMETIC PROGRESSIONS

1. If each term of an A.P are added or subtracted with the same constant, then the resulting sequence is also in A.P with the same common difference. Example: 2, 5, 8, 11, 14,...

## INTEGRATION AS INVERSE PROCESS OF DIFFERENTIATION

Integral means anti – derivative of a function. If , then is anti – derivative of or . will have infinite number of values, so it is called indefinite integral of . {Derivative of...

## EQUIVALENT AND EQUAL SETS

EQUIVALENT SETS Two finite sets A and B are equivalent only when number of elements of both the sets are equal. Example: A = {x : x is a natural number less than 6}...

## FINITE AND INFINITE SETS

A set having definite number of elements is called finite set. In other words, we can say that the number of elements of a set is defined called finite set. A set which is...

## REPRESENTATION OF A SET

There are two types of representation: Tabular form Set – builder form  Tabular or roster form: A set is described by listing elements, separated by commas, in { } brackets. Example: The set of...

## Properties of Triangles

BC = a, AC = b and AB = c Area of triangle is denoted by Δ and the radius of the circumcircle by R. Sine Rule : Cosine Rule : \$latex \begin{array}{*{35}{l}}...