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

Multiple Choice

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

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

B)
$\begin{array}{l}w_{1}=\cos \left(75^{\circ}\right) +i \sin \left(75^{\circ}\right) \\w_{2}=\cos \left(165^{\circ}\right) +i \sin \left(165^{\circ}\right) \\w_{3}=\cos \left(255^{\circ}\right) +i \sin \left(255^{\circ}\right) \\w_{4}=\cos \left(345^{\circ}\right) +i \sin \left(345^{\circ}\right) \end{array}$

C)
$\begin{array}{l}w_{1}=\cos \left(80^{\circ}\right) +i \sin \left(80^{\circ}\right) \\w_{2}=\cos \left(170^{\circ}\right) +i \sin \left(170^{\circ}\right) \\w_{3}=\cos \left(260^{\circ}\right) +i \sin \left(260^{\circ}\right) \\w_{4}=\cos \left(350^{\circ}\right) +i \sin \left(350^{\circ}\right) \end{array}$

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

E)
$\begin{array}{l}w_{1}=\cos \left(85^{\circ}\right) +i \sin \left(85^{\circ}\right) \\w_{2}=\cos \left(175^{\circ}\right) +i \sin \left(175^{\circ}\right) \\w_{3}=\cos \left(265^{\circ}\right) +i \sin \left(265^{\circ}\right) \\w_{4}=\cos \left(355^{\circ}\right) +i \sin \left(355^{\circ}\right) \end{array}$