Hi, I'm not too sure with this one, can I get some help?
If Z= 3 - 3i;what are Z, 1/Z and $\displaystyle Z^{4}$ in polar form?
I'm not sure if my answers are correct...
Thanks, any help would be greatly appreciated!
Cheers.
Hi, I'm not too sure with this one, can I get some help?
If Z= 3 - 3i;what are Z, 1/Z and $\displaystyle Z^{4}$ in polar form?
I'm not sure if my answers are correct...
Thanks, any help would be greatly appreciated!
Cheers.
Mmmm... I got:
$\displaystyle z = 3\sqrt{2}\left ( cos(-\frac{\pi }{4}) + i sin(-\frac{\pi }{4})\right )$
$\displaystyle z^{4} = 324\left ( cos(\pi) + i sin(\pi)\right )$
and
$\displaystyle \frac{1}{z} = \frac{\sqrt{2}}{6} ( cos(\frac{\pi }{4}) + i sin(\frac{\pi }{4})\right )$