Provide an Appropriate Response $\tan 3 \theta = \sqrt { 3 }$

question 140

Essay

Provide an appropriate response.
-Explain what is wrong with the following solution for the equation $\tan 3 \theta = \sqrt { 3 }$ in the interval $[ 0,2 \pi )$ .
$\tan 3 \theta = \sqrt { 3 }$
$\tan \theta = \frac { \sqrt { 3 } } { 3 }$
$\theta = \frac { \pi } { 6 }$ or $\theta = \frac { 7 \pi } { 6 }$

---

Definitions:

League of Nations

An international organization founded after World War I to promote peace, cooperation, and collective security among nations; a precursor to the United Nations.

Industrial Technologies

Advanced systems and equipment used to improve manufacturing processes and productivity in the industrial sector.

Wilson Administration

The presidential term of Woodrow Wilson, the 28th President of the United States, who served from 1913 to 1921, known for leading the U.S. through World War I and advocating for the League of Nations.