frac{2 tan 30^{circ}}{1-tan ^{2} 30^{circ}} = | vedclass

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Question

(A) We know that $	an 30^{\circ} = \frac{1}{\sqrt{3}}$.Substituting this value into the expression:$\frac{2 	an 30^{\circ}}{1-	an ^{2} 30^{\circ}}

Vedclass · Accepted Answer

$	an 60^{\circ}$

Vedclass · Answer

(A) We know that $	an 30^{\circ} = \frac{1}{\sqrt{3}}$.Substituting this value into the expression:$\frac{2 	an 30^{\circ}}{1-	an ^{2} 30^{\circ}} = \frac{2 \left( \frac{1}{\sqrt{3}} ight)}{1 - \left( \frac{1}{\sqrt{3}} ight)^{2}}$$= \frac{\frac{2}{\sqrt{3}}}{1 - \frac{1}{3}}$$= \frac{\frac{2}{\sqrt{3}}}{\frac{2}{3}}$$= \frac{2}{\sqrt{3}} 	imes \frac{3}{2} = \frac{3}{\sqrt{3}} = \sqrt{3}$.Since $	an 60^{\circ} = \sqrt{3}$,the correct option is $A$.

$\frac{2 \tan 30^{\circ}}{1-\tan ^{2} 30^{\circ}} = ?$

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