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Provide an Appropriate Response tan3θ=3\tan 3 \theta = \sqrt { 3 }

Question 146

Essay

Provide an appropriate response.
-Explain what is wrong with the following solution for the equation tan3θ=3\tan 3 \theta = \sqrt { 3 } in the interval [0,2π)[ 0,2 \pi ) .
tan3θ=3\tan 3 \theta = \sqrt { 3 }
tanθ=33\tan \theta = \frac { \sqrt { 3 } } { 3 }
θ=π6\theta = \frac { \pi } { 6 } or θ=7π6\theta = \frac { 7 \pi } { 6 }

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