11. Graphing 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 $z_1=\frac23\left(\cos25\degree+i\sin25\degree\right)$ and $z_2=\frac52\left(\cos15\degree+i\sin15\degree\right)$, find the product $z_1・z_2$.

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

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