QuestionSolve $\frac{\tan \theta+\tan 30^{\circ}}{1-\tan \theta \tan 30^{\circ}}+1=0$ for $\tan \theta$ in surd form.

Studdy Solution
Finally, we divide both sides of the equation by $(\sqrt{3} -1)$ to solve for $\tan \theta$.
$$\tan \theta = \frac{-\sqrt{3} -1}{\sqrt{3} -1}$$So, $\tan \theta$ is in surd form.