Answer
$(5, -60^{\circ})$
(a) We can see the point plotted on the graph below.
(b) We can write two other pairs of polar coordinates for this point:
$(5, 300^{\circ})$
$(-5, 120^{\circ})$
(c) $(x,y) = (\frac{5}{2},-\frac{5\sqrt{3}}{2})$
Work Step by Step
$(5, -60^{\circ})$
(a) We can see the point plotted on the graph below.
(b) We can write two other pairs of polar coordinates for this point:
$(5, 300^{\circ})$
$(-5, 120^{\circ})$
(c) We can find the rectangular coordinates:
$r = 5$ and $\theta = 300^{\circ}$
$(x,y) = (r~cos~\theta, r~sin~\theta)$
$(x,y) = (5~cos~300^{\circ}, 5~sin~300^{\circ})$
$(x,y) = (\frac{5}{2},-\frac{5\sqrt{3}}{2})$
