Answer
$z\cdot w=5(cos5^\circ+i\ sin5^\circ)$,
$\frac{z}{w}=5(cos15^\circ+i\ sin15^\circ)$
Work Step by Step
1. Use the given numbers, we have
$z\cdot w=5(cos(10+355)^\circ+i\ sin(10+355)^\circ)=5(cos365^\circ+i\ sin365^\circ)=5(cos5^\circ+i\ sin5^\circ)$
2. we have
$\frac{z}{w}=5(cos(10-355)^\circ+i\ sin(10-355)^\circ)=5(cos(-345)^\circ+i\ sin(-345)^\circ)=5(cos15^\circ+i\ sin15^\circ)$
