Answer
(a) We can see the point plotted on the graph below.
(b) We can write two pairs of polar coordinates for this point:
$(1, 210^{\circ})$
$(-1, 30^{\circ})$
Work Step by Step
$(\frac{-\sqrt{3}}{2}, -\frac{1}{2})$
(a) We can see the point plotted on the graph below.
(b) $r = \sqrt{(\frac{-\sqrt{3}}{{2}})^2+(-\frac{1}{2})^2} = 1$
We can find the angle $\phi$ below the negative x-axis:
$tan~\phi = \frac{\frac{1}{2}}{\frac{\sqrt{3}}{2}}$
$\phi = arctan(\frac{1}{\sqrt{3}})$
$\phi = 30^{\circ}$
We can write two pairs of polar coordinates for this point:
$(1, 210^{\circ})$
$(-1, 30^{\circ})$
