Answer
$\frac{2\sqrt 3}{3}$
Work Step by Step
$tan60^\circ+tan150^\circ\\ =tan60^\circ+tan(180-30)^\circ\\=tan60^\circ-tan30^\circ\\ =\sqrt 3-\frac{\sqrt 3}{3}\\ =\frac{2\sqrt 3}{3}$
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