import math

def quadrant(c):
    x = c.real
    y = c.imag
    if x == 0:
        r = 'Y'
    elif y == 0:
        r = 'X'
    elif x > 0 and y > 0:
        r = 'I'
    elif x < 0 and y > 0:
        r = 'II'
    elif x < 0 and y < 0:
        r = 'III'
    else:
        r = 'IV'
    return r


def polar_a_complex(modul, angle):
    return complex(modul*math.cos(angle), modul*math.sin(angle))