91Ó°ÊÓ

In Exercises 1-20, find the product \(z_{1} z_{2}\) and express it in rectangular form. $$ z_{1}=2\left(\cos 10^{\circ}+i \sin 10^{\circ}\right) \text { and } z_{2}=4\left(\cos 80^{\circ}+i \sin 80^{\circ}\right) $$

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. $$ x=t^{2}, y=t^{3}, t \text { in }[-2,2] $$

In Exercises 1-12, graph each complex number in the complex plane. $$ 2 $$

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. $$ \sqrt[3]{-64} $$

In Exercises 1-10, plot each indicated polar point in a polar coordinate system. $$ \left(-2, \frac{\pi}{6}\right) $$

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. $$ \sqrt[3]{-27} $$

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. $$ x=t^{3}+1, y=t^{3}-1, t \text { in }[-2,2] $$

In Exercises 1-20, find the product \(z_{1} z_{2}\) and express it in rectangular form. $$ z_{1}=3\left(\cos 190^{\circ}+i \sin 190^{\circ}\right) \text { and } z_{2}=5\left(\cos 80^{\circ}+i \sin 80^{\circ}\right) $$

In Exercises 1-10, plot each indicated polar point in a polar coordinate system. $$ \left(-4, \frac{7 \pi}{4}\right) $$

In Exercises 1-12, graph each complex number in the complex plane. $$ 7 $$