Answer
$(-1, -120^{\circ})$
(a) We can see the point plotted on the graph below.
(b) We can write two other pairs of polar coordinates for this point:
$(1, 60^{\circ})$
$(-1, 240^{\circ})$
(c) $(x,y) = (\frac{1}{2},\frac{\sqrt{3}}{2})$
Work Step by Step
$(-1, -120^{\circ})$
(a) We can see the point plotted on the graph below.
(b) We can write two other pairs of polar coordinates for this point:
$(1, 60^{\circ})$
$(-1, 240^{\circ})$
(c) We can find the rectangular coordinates:
$r = 1$ and $\theta = 60^{\circ}$
$(x,y) = (r~cos~\theta, r~sin~\theta)$
$(x,y) = (1~cos~60^{\circ}, 1~sin~60^{\circ})$
$(x,y) = (\frac{1}{2},\frac{\sqrt{3}}{2})$
