If $\tan\theta+\tan\big(\theta+\large\frac{\pi}{3}\big)$$+\tan\big(\theta+\large\frac{2\pi}{3}\big)$$=3$ then which of the following is equal to 1.

Question

$\begin{array}{1 1}(a)\;\tan 2\theta&(b)\;\tan 3\theta\\(c)\;\tan^2\theta&(d)\;\tan^3\theta\end{array}$