Question: Graph the curve r(t) = (1/2 sin 2t, 1/2(1 - cos 2t), cos t) and prove that it lies on the surface of a sphere

Graph the curve r(t) = (1/2 sin 2t, 1/2(1 - cos 2t), cos t) and prove that it lies on the surface of a sphere centered at the origin.

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