91Ó°ÊÓ

In Exercises 1-20, find the product \(z_{1} z_{2}\) and express it in rectangular form. $$ z_{1}=\frac{1}{2}\left(\cos 280^{\circ}+i \sin 280^{\circ}\right) \text { and } z_{2}=\frac{2}{9}\left(\cos 50^{\circ}+i \sin 50^{\circ}\right) $$

In Exercises 1-12, graph each complex number in the complex plane. $$ \frac{2}{3}+\frac{11}{4} i $$

In Exercises 1-12, write each expression as a complex number in standard form. If an expression simplifies to either a real number or a pure imaginary number, leave in that form. $$ 3-\sqrt{-100} $$

In Exercises 1-20, graph the curve defined by the following sets of parametric equations. Be sure to indicate the direction of movement along the curve. $$ x=(t+1)^{2}, y=(t+2)^{3}, t \text { in }[0,1] $$

In Exercises 1-10, plot each indicated polar point in a polar coordinate system. $$ \left(4,225^{\circ}\right) $$

In Exercises 1-20, find the product \(z_{1} z_{2}\) and express it in rectangular form. $$ z_{1}=\frac{5}{6}\left(\cos 15^{\circ}+i \sin 15^{\circ}\right) \text { and } z_{2}=\frac{12}{5}\left(\cos 195^{\circ}+i \sin 195^{\circ}\right) $$

In Exercises 1-12, write each expression as a complex number in standard form. If an expression simplifies to either a real number or a pure imaginary number, leave in that form. $$ 4-\sqrt{-121} $$

In Exercises 1-10, plot each indicated polar point in a polar coordinate system. $$ \left(-2,60^{\circ}\right) $$

In Exercises 1-20, graph the curve defined by the following sets of parametric equations. Be sure to indicate the direction of movement along the curve. $$ x=(t-1)^{3}, y=(t-2)^{2}, t \text { in }[0,4] $$

In Exercises 1-12, graph each complex number in the complex plane. $$ -\frac{7}{2}+\frac{15}{2} i $$