Complex Number Z = 4 - 4j: Magnitude, Angle, and Polar Form

The magnitude of Z is:

|Z| = sqrt(4^2 + (-4)^2) = sqrt(32) = 4*sqrt(2)

The angle of Z is:

θ = arctan(-4/4) = -45 degrees or -π/4 radians

Therefore, in polar form, Z is:

Z = 4sqrt(2) ∠ -45 degrees or Z = 4sqrt(2) ∠ -π/4 radians