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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

    Position in the complex plane

    Polar coordinates

    r = 1 (radius), θ = π/2 (angle)

    Alternative representations

    e^(π i) = -1 (Euler identity)

    e^(2 π i) = 1

    e^(π i k) = (-1)^k for k element Z

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