Question
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Polar Coordinates
Task
You are given a complex z. Your task is to convert it to polar coordinates.
Input Format
A single line containing the complex number z. Note: complex() function can be used in python to convert the input as a complex number.
Constraints
Given number is a valid complex number
Output Format
The first line should contain the value of γ.
The second line should contain the value of φ.
Sample Input
1+2j
Sample Output
2.23606797749979
1.1071487177940904
Note: The output should be correct up to 3 decimal places.
Solution
# Enter your code here. Read input from STDIN. Print output to STDOUT
import cmath
n = input()
print(abs(complex(n)))
print(cmath.phase(complex(n)))
Explanation
The code begins by importing the
cmathmodule. This module provides mathematical functions for complex numbers.The next line of code reads an input value using the
input()function. It is assumed that the input is a complex number represented as a string.The
complex()function is used to convert the input string into a complex number. Thecomplex()function takes a string representation of a complex number as an argument and returns a complex number object.The
abs()function is then used to calculate the absolute value (magnitude) of the complex number. It returns a floating-point value representing the distance from the origin (0) to the complex number in the complex plane.The result of the
abs()function is printed using theprint()function.The
cmath.phase()function is used to calculate the phase angle of the complex number. The phase angle represents the angle between the positive real axis and the vector representing the complex number in the complex plane. Thecmath.phase()function returns the phase angle in radians.The result of the
cmath.phase()function is printed using theprint()function.
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