- #1

BilalX

- 7

- 0

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.