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:

Antibacterial Soap

Soap containing chemical ingredients specifically intended to kill or inhibit the growth of bacteria.

Hand Sanitizer

A liquid or gel, often alcohol-based, used to reduce infectious agents on the hands, providing a cleaning effect without the need for water.

Chlorhexidine

An antiseptic used in mouthwash and wound cleansers to reduce bacteria and prevent infections.

Intravenous Line

A medical device used to administer medication, fluids, and nutrients directly into a vein.