The point e^(iθ) = cos θ + i sin θ, carried along a third axis by θ itself, winds a helix of radius 1 that makes one full turn every 2π. Seen down the θ axis the helix is the unit circle. Seen from the side its height is the real part, cos θ. Rolled a quarter turn about the

Name: The point e^(iθ) = cos θ + i sin θ, carried along a third axis by θ itself, winds a helix of radius 1 that makes one full turn every 2π. Seen down the θ axis the helix is the unit circle. Seen from the side its height is the real part, cos θ. Rolled a quarter turn about the
Channel: matharium
Description: The point e^(iθ) = cos θ + i sin θ, carried along a third axis by θ itself, winds a helix of radius 1 that makes one full turn every 2π. Seen down the θ axis the helix is the unit circle. Seen from the side its height is the real part, cos θ. Rolled a quarter turn about the

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The point e^(iθ) = cos θ + i sin θ, carried along a third axis by θ itself, winds a helix of radius 1 that makes one full turn every 2π. Seen down the θ axis the helix is the unit circle. Seen from the side its height is the real part, cos θ. Rolled a quarter turn about the

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