Question

How do you solve $\tan \theta =\sqrt{3}$?

Answer 1

Determine the value of $\mathit{\theta }$:

$\tan \theta =\sqrt{3}$

The value of $\tan \frac{\mathrm{\pi }}{3}$ is $\sqrt{3}$.

$\tan \theta =\tan \frac{\mathrm{\pi }}{3}$

If $\tan x=\tan \theta$ then the general solution of $x$ is $n\mathrm{\pi }+\mathrm{\theta }$:

$\theta =n\mathrm{\pi }+\frac{\mathrm{\pi }}{3}$

Hence, the solution of the given equation is $\mathit{n}\mathbf{\pi }\mathbf{+}\frac{\mathbf{\pi }}{\mathbf{3}}$.