The helix r(t) = (cos(t/2), sin(t/2), t) intersects the sphere x 2 + y 2 + z

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The helix r(t) = (cos(πt/2), sin(πt/2), t) intersects the sphere x2 + y2 + z2 = 2 in two points. Find the angle of intersection at each point.

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