Question: Graph the curve with parametric equations x = 1 - 0.25 cos 2 10t cos t y = 1 - 0.25 cos 2 10t sin

Graph the curve with parametric equations

x = √1 - 0.25 cos2 10t cos t
y = √1 - 0.25 cos2 10t sin t
z = 0.5 cos 10t

Explain the appearance of the graph by showing that it lies on a sphere.

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