QuestionIf $\frac{\tan \theta+\tan 30^{\circ}}{1-\tan \theta \tan 30^{\circ}}+1=0$, find $\tan \theta$ in surd form.

Studdy Solution
We take the square root of both sides of the equation to find $\tan \theta$. Note that the square root of a negative number is an imaginary number, so there is no real solution for $\tan \theta$.
$$\tan \theta = \pm i$$Therefore, there is no real solution for $\tan \theta$ in this equation.