Answer
Plot the polar coordinates:
(a) $\left( {2,\frac{\pi }{6}} \right)$
(b) $\left( {4,\frac{{3\pi }}{4}} \right)$
(c) $\left( {3, - \frac{\pi }{2}} \right)$
(d) $\left( {0,\frac{\pi }{6}} \right)$
Work Step by Step
(a) First, we draw a line that makes an angle $\frac{\pi }{6}$ with the $x$-axis. Then mark the point with $2$ distance from the origin.
(b) First, we draw a line that makes an angle $\frac{{3\pi }}{4}$ with the $x$-axis. Then mark the point with $4$ distance from the origin.
(c) First, we draw a line that makes an angle $ - \frac{\pi }{2}$ with the $x$-axis. Then mark the point with $3$ distance from the origin.
(d) First, we draw a line that makes an angle $\frac{\pi }{6}$ with the $x$-axis. Then mark the point with $0$ distance from the origin.
