Answer
$(-3, -210^{\circ})$
(a) We can see the point plotted on the graph below.
(b) We can write two other pairs of polar coordinates for this point:
$(3, 330^{\circ})$
$(-3, 150^{\circ})$
(c) $(x,y) = (\frac{3\sqrt{3}}{2},-\frac{3}{2})$
Work Step by Step
$(-3, -210^{\circ})$
(a) We can see the point plotted on the graph below.
(b) We can write two other pairs of polar coordinates for this point:
$(3, 330^{\circ})$
$(-3, 150^{\circ})$
(c) We can find the rectangular coordinates:
$r = 3$ and $\theta = 330^{\circ}$
$(x,y) = (r~cos~\theta, r~sin~\theta)$
$(x,y) = (3~cos~330^{\circ}, 3~sin~330^{\circ})$
$(x,y) = (\frac{3\sqrt{3}}{2},-\frac{3}{2})$
