| Line 7: | Line 7: | ||
<math>\theta = arctan(\sqrt{3}/1) = arctan(\sqrt{3}) = \frac{\pi}{3}</math> | <math>\theta = arctan(\sqrt{3}/1) = arctan(\sqrt{3}) = \frac{\pi}{3}</math> | ||
| − | Therefore the polar form of this complex number is <math>2e^{j\frac{\pi}{3}}</math> | + | Therefore the polar form of this complex number is: <math>2e^{j\frac{\pi}{3}}</math> |
| + | |||
| + | B) <math> -5 </math> | ||
| + | |||
| + | <math> r = 5 </math> | ||
| + | |||
| + | <math> \theta = \pi </math> | ||
Revision as of 00:11, 13 June 2008
Express each of the following complex numbers in polar form, and plot them in the complex plane, indicating the magnitude and angle of each number.
A) $ 1 + j\sqrt{3} $
$ r = \sqrt{1^2 + \sqrt{3}^2} = \sqrt{4} = 2 $
$ \theta = arctan(\sqrt{3}/1) = arctan(\sqrt{3}) = \frac{\pi}{3} $
Therefore the polar form of this complex number is: $ 2e^{j\frac{\pi}{3}} $
B) $ -5 $
$ r = 5 $
$ \theta = \pi $
