Curve on a spherical surface


Problem:

Curve on a Spherical Surface

Curve C defined by x=sin(2t), y=1-cos(2t), z=2cos(t) where t lies between (or equal to) -pi and pi.

How do I show that this curve lies on a spherical surface with central in origon and radius = 2?

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Mathematics: Curve on a spherical surface
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