Choose the correct option and justify your choice :
(i) `(2tan30^@)/(1+tan^2 30^@)`
`(a)\ sin 60^@` `(b)\ cos 60^@` `(c)\ t a n 60^@``(d)\ sin 30^@`

Explanation

To solve the problem, we need to evaluate the expression \(\frac{2\tan 30^\circ}{1 + \tan^2 30^\circ}\) and determine which of the given options it matches.

### Step 1: Find \(\tan 30^\circ\)
We know that:
\[ \tan 30^\circ = \frac{1}{\sqrt{3}} \]

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