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 number
Geometrically, 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 the argument of a complex number. Phase is returned by phase () , 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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