Answer
$\frac{30(cos(\frac{2\pi}{5}) + isin(\frac{2\pi}{5}))}{10(cos(\frac{\pi}{7}) + isin(\frac{\pi}{7}))}$
= $2.0732 + 2.1684i$
Work Step by Step
$\frac{30(cos(\frac{2\pi}{5}) + isin(\frac{2\pi}{5}))}{10(cos(\frac{\pi}{7}) + isin(\frac{\pi}{7}))}$
= $3 \frac{cis(\frac{2\pi}{5})}{cis(\frac{\pi}{7})}$
= $3 cis(\frac{2\pi}{5} - \frac{\pi}{7})$ (Quotient Theorem)
= $3 cis(\frac{9\pi}{35})$
= $2.0732 + 2.1684i$ (Using calculator and corr. to 4 decimal places)
