What curve is given from $$\gamma (\theta)=\left (\sin (\theta +c)\cos \theta , \sin (\theta +c)\sin \theta \right ), \text{ where } c \text{ is a constant } $$ ? How can we find it?
2026-04-03 15:51:24.1775231484
Which is this curve?
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HINT....You have $$x^2+y^2=\sin^2(\theta+c)$$ So $$\pm\sqrt{x^2+y^2}=\sin\theta\cos c+\cos\theta\sin c$$ Furthermore, $$\tan\theta=\frac yx$$ Can you finish this?