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<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> | ||
Revision as of 00:10, 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}}<\math> $
