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At the very least, we can compute the product zw by multiplying the moduli and adding the arguments. That is, if
z = 8 (cos(π/3) + i sin(π/3))
w = 3 (cos(π/6) + i sin(π/6))
then their product is
zw = 8•3 (cos(π/3 + π/6) + i sin(π/3 + π/6))
zw = 24 (cos(π/2) + i sin(π/2))
zw = 24i
