# 2203.py
import cmath

a=4; b=2; print a+b*1j
# (4+2j)

z=4+5j; print abs(z)
# 6.40312423743

print cmath.exp(1j*z)
# (-0.00440421607367-0.00509929510216j)

print cmath.cos(z)+1j*cmath.sin(z)
# (-0.00440421607367-0.00509929510217j)