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  • Choose the correct option and justify your choice 2 tan 30 ^o / 1 + tan ^2 30 ^o =

2.  Choose the correct option and justify your choice :

      (i)\, \frac{2\: \tan 30^{o}}{1+\tan ^{2}30^{o}}=

   (A)\: \sin 60^{o}                (B)\: \cos 60^{o}             (C)\: \tan 60^{o}            (D)\: \sin 30^{o}

Answers (1)

best_answer

Put the value of tan 30 in the given question-
\frac{2\: \tan 30^{o}}{1+\tan ^{2}30^{o}}=\frac{2\times1/\sqrt{3}}{1+(1/\sqrt{3})^2}=\frac{2}{\sqrt{3}}\times \frac{3}{4}=\sqrt{3}/2 = \sin 60^0

The correct option is (A)

   

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manish

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