Emaths All about Mathematics

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CONJUGATE OF A COMPLEX NUMBERS

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...

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TRANSFORMATION FORMULAE

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)...

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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...

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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:...

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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...

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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....

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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}...