Answer
(a) We can see the point plotted on the graph below.
(b) We can write two pairs of polar coordinates for this point:
$(1, 300^{\circ})$
$(-1, 120^{\circ})$
Work Step by Step
$(\frac{1}{2}, -\frac{\sqrt{3}}{2})$
(a) We can see the point plotted on the graph below.
(b) $r = \sqrt{(\frac{1}{2})^2+(-\frac{\sqrt{3}}{2})^2} = 1$
We can find the angle $\phi$ below the positive x-axis:
$tan~\phi = \frac{\frac{\sqrt{3}}{2}}{\frac{1}{2}}$
$\phi = arctan(\sqrt{3})$
$\phi = 60^{\circ}$
We can write two pairs of polar coordinates for this point:
$(1, 300^{\circ})$
$(-1, 120^{\circ})$
