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Imaginary Number
Alternate complex forms
cos(π/2) + i sin(π/2)
e^((i π)/2)
Position in the complex plane
Polar coordinates
r = 1 (radius), θ = π/2 (angle)
Alternative representation
e^(π i) = -1 (Euler identity)
e^(2 π i) = 1
e^(π i k) = (-1)^k for k element Z