** Converting real numbers to complex numbers **

A complex number is represented as “** x + yi **“. Python converts real numbers x and y to a complex using the ** complex (x, y) ** function. The real part can be accessed using the ** real () function, ** and the imaginary part can be represented by ** imag () **.

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Output:

The real part of complex number is: 5.0 The imaginary part of complex number is: 3.0

Complex phase th numberGeometrically, the phase of a complex number — it is the

angle between the positive real axis and the vector representing the complex number. This is also known as theargumentof a complex number. Phase is returned byphase (), which takes a complex number as an argument. The phase range is from-pi to + pi.that is, from-3.14 to +3.14.

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Output:

The phase of complex number is: 3.141592653589793

** Conversion from polar to rectangular and vice versa **

Conversion to polar is performed using ** polar () **, which returns a ** pair (r, ph), denoting module r and phase angle ph . a module can be rendered using abs (), and a phase using phase () . **

A complex number is converted to rectangular coordinates using rect (r, ph) , where r — module, and ph — phase angle . Returns a value numerically r * (math.cos (ph) + math.sin (ph) * 1j)

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Output:

The modulus and argument of polar complex number is: (1.4142135623730951, 0.7853981633974483) The rectangular form of complex number is: (1.0000000000000002 + 1j)

** Manjit Singh **. If you are as Python.Engineering and would like to contribute, you can also write an article using contribute.python.engineering or by posting an article contribute @ python.engineering. See my article appearing on the Python.Engineering homepage and help other geeks.

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