Show that , is a regular parametrization of the real circle of radius r, centre (r, 0).
Answer & Explanation
2022-07-05Added 22 answers
Step 1 Because of the identities and sinucosu, your parametric equations are equivalent to x(t)y(t)=r+rcos2t=rsin2t And now you can see that this describes the circle centred (r, 0) with radius r. Yes, the parameterisation is twice as fast as you'd expect (with 2t in the expressions), but this is okay as parametrisations are not unique.
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