Answer
$(4, \frac{3\pi}{2})$
(a) We can see the point plotted on the graph below.
(b) We can write two other pairs of polar coordinates for this point:
$(4, -\frac{\pi}{2})$
$(-4, \frac{\pi}{2})$
(c) $(x,y) = (0, -4)$
Work Step by Step
$(4, \frac{3\pi}{2})$
(a) We can see the point plotted on the graph below.
(b) We can write two other pairs of polar coordinates for this point:
$(4, -\frac{\pi}{2})$
$(-4, \frac{\pi}{2})$
(c) We can find the rectangular coordinates:
$r = 4$ and $\theta = \frac{3\pi}{2}$
$(x,y) = (r~cos~\theta, r~sin~\theta)$
$(x,y) = (4~cos~\frac{3\pi}{2}, 4~sin~\frac{3\pi}{2})$
$(x,y) = (0, -4)$
