$\text { Find the fourth roots of }-\frac{1}{2}-\frac{\sqrt{3}}{2} i \text {. Write the roots in trigonometric form. }$

Multiple Choice

$\text { Find the fourth roots of }-\frac{1}{2}-\frac{\sqrt{3}}{2} i \text {. Write the roots in trigonometric form. }$

A)
$\begin{array}{l}w_{1}=\cos \left(50^{\circ}\right) +i \sin \left(50^{\circ}\right) \\w_{2}=\cos \left(140^{\circ}\right) +i \sin \left(140^{\circ}\right) \\w_{3}=\cos \left(230^{\circ}\right) +i \sin \left(230^{\circ}\right) \\w_{4}=\cos \left(320^{\circ}\right) +i \sin \left(320^{\circ}\right) \end{array}$

B)
$\begin{array}{l}w_{1}=\cos \left(60^{\circ}\right) +i \sin \left(60^{\circ}\right) \\w_{2}=\cos \left(150^{\circ}\right) +i \sin \left(150^{\circ}\right) \\w_{3}=\cos \left(240^{\circ}\right) +i \sin \left(240^{\circ}\right) \\w_{4}=\cos \left(330^{\circ}\right) +i \sin \left(330^{\circ}\right) \end{array}$

C)
$\begin{array}{l}w_{1}=\cos \left(65^{\circ}\right) +i \sin \left(65^{\circ}\right) \\w_{2}=\cos \left(155^{\circ}\right) +i \sin \left(155^{\circ}\right) \\w_{3}=\cos \left(245^{\circ}\right) +i \sin \left(245^{\circ}\right) \\w_{4}=\cos \left(335^{\circ}\right) +i \sin \left(335^{\circ}\right) \end{array}$

D)
$\begin{array}{l}w_{1}=\cos \left(55^{\circ}\right) +i \sin \left(55^{\circ}\right) \\w_{2}=\cos \left(145^{\circ}\right) +i \sin \left(145^{\circ}\right) \\w_{3}=\cos \left(235^{\circ}\right) +i \sin \left(235^{\circ}\right) \\w_{4}=\cos \left(325^{\circ}\right) +i \sin \left(325^{\circ}\right) \end{array}$
E)
$\begin{array} { l } w _ { 1 } = \cos \left( 70 ^ { \circ } \right) + i \sin \left( 70 ^ { \circ } \right) \\w _ { 2 } = \cos \left( 160 ^ { \circ } \right) + i \sin \left( 160 ^ { \circ } \right) \\w _ { 3 } = \cos \left( 250 ^ { \circ } \right) + i \sin \left( 250 ^ { \circ } \right) \\w _ { 4 } = \cos \left( 340 ^ { \circ } \right) + i \sin \left( 340 ^ { \circ } \right) \end{array}$