Polar coordinates are an alternative way of representing Cartesian coordinates or Complex Numbers.
A complex number z
z = x + yi
is completely determined by its real part x and imaginary part y.Here, j is the imaginary unit.
A polar coordinate (r, q)
is completely determined by modulus r and phase angle q.
if we convert complex number z to its polar coordinate, we find:
r : Distance from z to origin, i.e., √(x^2+y^2)
q : Counter clockwise angle measured from the positive x-axis to the line segment that joins z to the origin.
Python's cmath module provides access to the mathematical functions for complex numbers.
cmath.phase
This tool returns the phase of complex number z(also known as the argument of z).
>>> phase(complex(-1.0, 0.0))
3.1415926535897931
abs
This tool returns the modulus (absolute value) of complex number z.
>>> abs(complex(-1.0, 0.0))
1.0
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
Output two lines:
The first line should contain the value of r.
The second line should contain the value of q.
Sample Input
1+2j
Sample Output
2.23606797749979
1.1071487177940904
Note: The output should be correct up to 3 decimal places.
Polar Coordinates Python Hackerrank Solution
import cmath;
num = complex(input())
z = complex(num)
print(cmath.polar(z)[0])
print(cmath.polar(z)[1])
