Find the component form of the specified vector.

The unit vector that makes an angle $-5\frac{}{3}$ with the positive $x-$axis

$($:$\frac{-\sqrt[\phantom{2}]{3}}{2},\frac{-1}{2}$:$)$

$(\frac{1}{2},\frac{1}{2})$

$(\frac{1}{2},\frac{\sqrt[\phantom{2}]{3}}{2})$

$(\frac{-1}{2},\frac{-\sqrt[\phantom{2}]{3}}{2})$