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=\(\frac\)23\(\left\)(\(\cos\)25\(\degree\)+i\(\sin\)25\(\degree\]\right\))$ and $z_2=\(\frac\)52\(\left\)(\(\cos\)15\(\degree\)+i\(\sin\)15\(\degree\]\right\))$, find the product $z_1・z_2$.

Given $z_1=\(\frac\)15\(\left\)(\(\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\(\left\)(\(\cos\)30\(\degree\)+i\(\sin\)30\(\degree\]\right\))$ and $z_2=3\(\left\)(\(\cos\)50\(\degree\)+i\(\sin\)50\(\degree\]\right\))$, find the quotient $\(\frac{z_1}{z_2}\)$.