91Ó°ÊÓ

$$ \text { Convert each equation to polar coordinates and then sketch the graph. } $$ $$ \left(x^{2}+y^{2}\right)^{2}=2 x y $$

Find the following products. \(-6 i(3-8 i)\)

Write each complex number in trigonometric form, once using degrees and once using radians. In each case, begin by sketching the graph to help find the argument \(\theta\).\(-9\)

Find the quotient \(z_{1} / z_{2}\) in standard form. Then write \(z_{1}\) and \(z_{2}\) in trigonometric form and find their quotient again. Finally, convert the answer that is in trigonometric form to standard form to show that the two quotients are equal. $$ z_{1}=\sqrt{3}+i, z_{2}=2 i $$

Find the area of triangle \(A B C\) if $$ A=56.2^{\circ}, b=2.65 \mathrm{~cm}, \text { and } c=3.84 \mathrm{~cm} $$

$$ \text { Convert each equation to polar coordinates and then sketch the graph. } $$ $$ \left(x^{2}+y^{2}\right)^{2}=x^{2}-y^{2} $$

Write each complex number in trigonometric form, once using degrees and once using radians. In each case, begin by sketching the graph to help find the argument \(\theta\). 2

Find the area of triangle \(A B C\) if $$ B=21.8^{\circ}, a=44.4 \mathrm{~cm}, \text { and } c=22.2 \mathrm{~cm} $$

Find the quotient \(z_{1} / z_{2}\) in standard form. Then write \(z_{1}\) and \(z_{2}\) in trigonometric form and find their quotient again. Finally, convert the answer that is in trigonometric form to standard form to show that the two quotients are equal. $$ z_{1}=1+i \sqrt{3}, z_{2}=2 i $$

Find the following products. \(6 i(3+8 i)\)