Question
Find the powers of each complex number in polar form.Find $z^{2}$ when $z=4 \operatorname{cis}\left(\frac{\pi}{4}\right).$
Step 1
It is given by $r(\cos \theta + i \sin \theta)$, where $r$ is the magnitude of the complex number and $\theta$ is the angle it makes with the positive real axis. This can also be written as $r \operatorname{cis} \theta$. Show more…
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