(2 tan $30^\circ$)/(1-tan^2 $30^\circ$) = ______.

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KollegeApply · Accepted Answer

(2 tan $30^\circ$)/(1-tan^2 $30^\circ$) = tan $60^\circ$ Explanation: (2 tan $30^\circ$)/(1-tan^2 $30^\circ$) = (2(1/sqrt3))/(1-(1/sqrt3)^2) = (2/sqrt3)/(1-$\frac{1}{3}$) = (2/sqrt3)/($\frac{2}{3}$) = sqrt3 Out of the given alternatives, only tan $60^\circ$ = sqrt3 Hence, tan $60^\circ$ is correct.

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