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

question 146

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 $\theta = \frac { 7 \pi } { 6 }$

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