Polar form of complex numbers - Practice Questions & MCQ

$\left ( 8 \right )^{\frac{4}{5}}\left ( \cos \frac{\pi }{15} +i\sin\frac{\pi }{15} \right )$

$\left ( 4 \right )^{\frac{4}{5}}\left ( \cos \frac{7\pi }{15} +i\sin\frac{7\pi }{15} \right )$

$\left ( 8 \right )^{\frac{4}{5}}\left ( \cos \frac{4\pi }{15} +i\sin\frac{4\pi }{15} \right )$

None of these

$4\left(\operatorname{Cos} \frac{3 \pi}{4}+i \operatorname{Sin} \frac{3 \pi}{4}\right)$

$4 \sqrt{2}\left(\operatorname{Cos} \frac{3 \pi}{4}+i \operatorname{Sin} \frac{3 \pi}{4}\right)$

$4 \sqrt{2}\left(\operatorname{Cos} \frac{\pi}{4}-i \operatorname{Sin} \frac{\pi}{4}\right)$

$4\left(\operatorname{Cos} \frac{3 \pi}{4}-i \operatorname{Sin} \frac{3 \pi}{4}\right)$