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# plz expain argand diagram and its applications??

10 years ago

The complex plane is called an argand diagram. It is used to plot a complex number. On the horizontal axis are the real numbers and on the vertical axis are the imaginary numbers. Here is an example of an argand diagram: As in polar co-ordinates, a complex number can be defined by its distance from the origin (modulus) and angle (in radians) from the positive real axis (argument). It can be written as (r,θ), wher r is the modulus and θ is the argument. A complex number, x+i.y, is the same as r(cos(θ) + sin(θ)). Then there is an identity r(cos(θ) + sin(θ)) = re, which can be checked by differentiating both sides. From this comes a very interesting result; e = -1.