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Can you please explain me modulus and arguement of a complex number
Thinking in terms of the Argand diagram we can specify the position of the complex number z = x + jy on the plane by giving the polar coordinates of the point (x, y).
The polar coordinate r is the distance from O to P and is called the modulus of the complex number z and written as | z|.
The polar coordinate is called an argument of z. If we take in the range - < then we call it the (principal) argument of z and we denote it by arg(z). Note that any argument of z differs from arg(z) by an integer multiple of 2 (working in radians) or of 360o (working in degrees)10.2.
Since x = r cos and y = r sin we can write z in terms of its modulus and argument as
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