91Ó°ÊÓ

In Exercises 21-40, find the quotient \(\frac{z_{1}}{z_{2}}\) and express it in rectangular form. $$ z_{1}=\sqrt{12}\left(\cos 350^{\circ}+i \sin 350^{\circ}\right) \text { and } z_{2}=\sqrt{3}\left(\cos 80^{\circ}+i \sin 80^{\circ}\right) $$

In Exercises 13-28, express each complex number in polar form. $$ -\frac{1}{2}+\frac{\sqrt{3}}{2} i $$

In Exercises 13-40, perform the indicated operation, simplify, and express in standard form. $$ -3(16-9 i) $$

In Exercises 21-40, convert each point given in polar coordinates to exact rectangular coordinates. $$ \left(0, \frac{11 \pi}{6}\right) $$

In Exercises 21-36, each set of parametric equations defines a plane curve. Find an equation in rectangular form that also corresponds to the plane curve. $$ x=t, y=\sqrt{t^{2}+1} $$

In Exercises 13-28, express each complex number in polar form. $$ -\frac{5}{3}-\frac{5}{3} i $$

In Exercises 21-40, convert each point given in polar coordinates to exact rectangular coordinates. $$ (6,0) $$

In Exercises 13-40, perform the indicated operation, simplify, and express in standard form. $$ 5(-6 i+3) $$

In Exercises 21-40, find the quotient \(\frac{z_{1}}{z_{2}}\) and express it in rectangular form. $$ z_{1}=\sqrt{40}\left(\cos 110^{\circ}+i \sin 110^{\circ}\right) \text { and } z_{2}=\sqrt{10}\left(\cos 20^{\circ}+i \sin 20^{\circ}\right) $$

In Exercises 21-36, each set of parametric equations defines a plane curve. Find an equation in rectangular form that also corresponds to the plane curve. $$ x=\sin ^{2} t, y=\cos ^{2} t $$