17. Graphing Complex Numbers

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

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 $z_1=\frac15\left(\cos\frac{\pi}{2}+i\sin\frac{\pi}{2}\right)$ and $z_2=5\left(\cos\frac{\pi}{5}+i\sin\frac{\pi}{5}\right)$, find the quotient $\frac{z_1}{z_2}$.

Given $z_1=12\left(\cos30\degree+i\sin30\degree\right)$ and $z_2=3\left(\cos50\degree+i\sin50\degree\right)$, find the quotient $\frac{z_1}{z_2}$.