Chapter 2.4, Problem 11P

For each of the following numbers, first visualize where it is in the complex plane. With a little practice you can quickly find $x,y,r,\theta$ in your head for these simple problems. Then plot the number and label it in five ways as in Figure 3.3. Also plot the complex conjugate of the number.

$2\left(\cos \frac{\pi }{6}+i\sin \frac{\pi }{6}\right)$