91Ó°ÊÓ

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. $$ x=2 \sin ^{2} t, y=2 \cos ^{2} t $$

In Exercises 13-40, perform the indicated operation, simplify, and express in standard form. $$ -6(17-5 i) $$

In Exercises 13-28, express each complex number in polar form. $$ \frac{\sqrt{3}}{8}-\frac{1}{8} i $$

In Exercises 21-40, find the quotient \(\frac{z_{1}}{z_{2}}\) and express it in rectangular form. $$ z_{1}=2\left(\cos 213^{\circ}+i \sin 213^{\circ}\right) \text { and } z_{2}=4\left(\cos 33^{\circ}+i \sin 33^{\circ}\right) $$

In Exercises 21-40, convert each point given in polar coordinates to exact rectangular coordinates. $$ \left(-6, \frac{\pi}{2}\right) $$

In Exercises 21-40, convert each point given in polar coordinates to exact rectangular coordinates. $$ \left(-4, \frac{3 \pi}{2}\right) $$

In Exercises 13-28, express each complex number in polar form. $$ \frac{7}{16}+\frac{7}{16} i $$

In Exercises 21-40, find the quotient \(\frac{z_{1}}{z_{2}}\) and express it in rectangular form. $$ z_{1}=12\left(\cos 315^{\circ}+i \sin 315^{\circ}\right) \text { and } z_{2}=3\left(\cos 15^{\circ}+i \sin 15^{\circ}\right) $$

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. $$ x=\sec ^{2} t, y=\tan ^{2} t $$

In Exercises 13-40, perform the indicated operation, simplify, and express in standard form. $$ -12(8+3 i) $$