( {2 \tan 30^\circ}/{1-\tan ^{2} 30^\circ} )=

SSC CGL 7 06 2019 Shift 1 Paper

Question : 57 of 100

Marks: +1, -0

\ (\ {2 \tan 30°}/{1-\tan ^{2} 30°}\ )=

Solution:

\ {2 \tan 30 }/{1-\tan ^{2} 30}

=\ {2 \×\ {1}/{\√{3}}}/{1- {1}/{3}}=\ {\√{3} \×3}/{2}=\√{3}

\ {2 \tan 30}/{1-\tan ^{2} 30}=\tan (2 \×30)

=\tan 60=\√{3}

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