Question

2 tan 30°/
1-tan Square 30°​

Answer 1

tan 30 = 1/√3

then 2tan30/(1+tan^2 30) is= 2×1/√3 / (1+(1/√3)²)

= 2/√3 / (1+1/3)         in brackets by taking 3 as l cm we get

= 2/√3 / (3+1/3)

= 2/√3 / 4/3

= 2/√3×3/4

= 3 / 2√3   (3 can be written as √3×√3)

= √3×√3 / 2√3

= √3/2

= cos 30

Answer 2

Hey mate here's your answer :-

As tan30° = 1/√3

Using it in the expression given we get

  2 x (1/√3) / 1 - (1/√3)²

= 2/√3  /( 1 - 1/3)

= (2/√3) / (2/3)

= 2 x 3 / 2√3

=3/√3

=√3

Hope this helps you dear.

                                           WISH YOU LUCK!!