91Ó°ÊÓ

Write each expression in terms of \(i\). \(\sqrt{-16}\)

Write each expression in terms of \(i\). \(\sqrt{-18}\)

Write each expression in terms of \(i\). \(\sqrt{-45}\)

Find the product \(z_{1} z_{2}\) in standard form. Then write \(z_{1}\) and \(z_{2}\) in trigonometric form and find their product again. Finally, convert the answer that is in trigonometric form to standard form to show that the two products are equal. $$ z_{1}=1+i, z_{2}=2+2 i $$

Find three cube roots for each of the following complex numbers. Leave your answers in trigonometric form. $$ -64 i $$

Use de Moivre's Theorem to find each of the following. Write your answer in standard form. $$ \left(\operatorname{cis} 12^{\circ}\right)^{10} $$

Combine the following complex numbers. \((3-5 i)+(2+4 i)\)

$$ \text { Graph each equation. } $$ $$ r=4 \cos 3 \theta $$

$$ \text { Graph each equation. } $$ $$ r=4 \sin 3 \theta $$

Use a calculator to help write each complex number in standard form. Round the numbers in your answers to the nearest hundredth.\(1 \operatorname{cis} 261^{\circ}\)