यदि $$ \mathrm{S}=\left\{x \in[0,2 \pi]:\left|\begin{array}{rrr} 0 & \cos x & -\sin x \\ \sin x & 0 & \cos x \\ \cos x & \sin x & 0 \end{array}\right|=0\right\} $$ है, तो $$\sum\limits_{x \in S} \tan \left(\frac{\pi}{3}+x\right)$$ बराबर है :