Given a curve described by the following function:(adsbygoogle = window.adsbygoogle || []).push({});

r(t) = (cos^2(t), sin(t), sin(t)*cos(t)), 0 ≤ t ≤ 2*Pi

How can I prove it describes a spherical shape? I know that the parametric representation is the following, but I'm not sure how to reconcile that with the expression of a sphere.

x = cos^2(t)

y = sin(t)

z = sin(t)*cos(t)

I'd greatly appreciate any insight, thanks.

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# Vector equation of a spherical curve

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