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\[\begin{array}{l} \tan x = - \sqrt 3 - 2\,\,\,\left( {\cos x \ne 0} \right)\\ \Leftrightarrow \tan x = \tan \left( { - \frac{{5\pi }}{{12}}} \right)\\ \Leftrightarrow x = - \frac{{5\pi }}{{12}} + k\pi \,\,\left( {k \in Z} \right)\\ \tan x = - \sqrt 3 + 2\,\,\,\left( {\cos x \ne 0} \right)\\ \Leftrightarrow \tan x = \tan \frac{\pi }{{12}}\\ \Leftrightarrow x = \frac{\pi }{{12}} + k\pi \,\,\left( {k \in Z} \right) \end{array}\]
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