Answer
$\frac{5\pi}{4}$
Work Step by Step
Using trigonometric identities, we have
$cot(\frac{2\theta}{3})=-\sqrt 3 \longrightarrow \frac{2\theta}{3}=\pi-\frac{\pi}{6} \longrightarrow \theta=\frac{5\pi}{4}$
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