8. Polar Coordinates and Complex Numbers

Given $z_1=5(\cos \frac{\pi }{6}+i\sin \frac{\pi }{6})$ and $z_2=3(\cos \frac{3\pi }{4}+i\sin \frac{3\pi }{4})$, find the product $z_1\text{・}{z}_2$.

Given $z_1=\frac{2}{3}(\cos 25°+i\sin 25°)$ and $z_2=\(\frac\)52\(\left\)(\(\cos\)15\(\degree\)+i\(\sin\)15\(\degree\]\right\))$, find the product $z_1・z_2$.

Given $z_1=\frac{1}{5}(\cos \frac{\pi }{2}+i\sin \frac{\pi }{2})$ and $z_2=5\(\left\)(\(\cos\]\frac{\pi}{5}\)+i\(\sin\[\frac{\pi}{5}\]\right\))$, find the quotient $\(\frac{z_1}{z_2}\)$.

Given $z_1=12(\cos 30°+i\sin 30°)$ and $z_2=3\(\left\)(\(\cos\)50\(\degree\)+i\(\sin\)50\(\degree\]\right\))$, find the quotient $\(\frac{z_1}{z_2}\)$.