## PRINCIPLE OF MATHEMATICAL INDUCTION

Statement: A sentence which is either exactly true or exactly false is called a statement. Example: “26 is divisible by 5” is a statement. “25 is divisible by 2 and 5” is a statement....

All About Mathematics

Statement: A sentence which is either exactly true or exactly false is called a statement. Example: “26 is divisible by 5” is a statement. “25 is divisible by 2 and 5” is a statement....

Equality of a complex number Two complex numbers are said to be equal, if their real and imaginary parts are equal. Example: , then, Addition and subtraction of a complex number Addition or subtraction...

If two complex numbers which differ only in the sign of their imaginary parts are called conjugate complex numbers, that is, each complex number being conjugate of the other. It is denoted by Example...

Formula to transform the product into sum or difference The sine formula of the sum and difference of two angles is written as follows: Add both the expression as follows: Then, subtract expression (2)...

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...

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 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...

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....

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,...

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 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}...

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