Find the Fourth Roots Of $- \frac { 1 } { 2 } - \frac { \sqrt { 3 } } { 2 } i$

Find the fourth roots of $- \frac { 1 } { 2 } - \frac { \sqrt { 3 } } { 2 } i$ . 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)
$\begin{array} { l } w _ { 1 } = \cos \left( 70 ^ { \circ } \right) + i \sin \left( 70 ^ { \circ } \right) \\w _ { 2 } = \cos \left( 160 ^ { \circ } \right) + i \sin \left( 160 ^ { \circ } \right) \\w _ { 3 } = \cos \left( 250 ^ { \circ } \right) + i \sin \left( 250 ^ { \circ } \right) \\w _ { 4 } = \cos \left( 340 ^ { \circ } \right) + i \sin \left( 340 ^ { \circ } \right) \end{array}$

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