Question

Write $\left(i^{25}\right)$ in polar form.

Answer 1

$z=\left(i^{25}\right)=i^3=-1|z|=1,arg\left(z\right)=ta{n}^{-1}(\frac{-1}{0}=\frac{-\pi }{2})\text{Polar form}:cos\left(\frac{\pi }{2}\right)-isin\left(\frac{\pi }{2}\right)=cos(-\frac{\pi }{2})+isin(-\frac{\pi }{2})$