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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 :

(iv)\frac{2\: \tan 30^{o}}{1-tan^{2}\: 30^{o}}=

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

Answers (1)

best_answer

Put the value of tan 30^{o}={\1/\sqrt{3}}

\\=\frac{2\: \tan 30^{o}}{1-tan^{2}\: 30^{o}}=\frac{2\times 1/\sqrt{3}}{1-(\frac{1}{\sqrt{3}})^2}\\ =\frac{2/\sqrt{3}}{1-1/3}\\ =\frac{2}{\sqrt{3}}\times \frac{3}{2}\\ =\sqrt{3}= \tan 60^0

The correct option is (C)

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manish

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