Write the parametric equations of a unit circle centered at the origin.

r(t)=x(t),y(t)=\displaystyle \vec{{{r}{\left({t}\right)}}}={\left\langle{x}{\left({t}\right)},{y}{\left({t}\right)}\right\rangle}={\langle} , \displaystyle {\rangle}, for 0t2π\displaystyle {0}\le{t}\le{2}\pi