A point has polar coordinates r = 4, θ = 210◦. Calculate the Cartesian coordinates of the point. Plot the point.
The Cartesian coordinates are given by
\begin{aligned}& x=r \cos \theta=4 \cos 210^{\circ}=-3.4641 \\& y=r \sin \theta=4 \sin 210^{\circ}=-2\end{aligned}
Figure 4.12 illustrates the point.