Question

2tan30/(1+tan^2 30)=_____

Answer 1

use, formula
sin2∅ = 2tan∅/(1 +tan²∅)

here,
2tan30°/(1 + tan²30°) = sin2×30°
= sin60°
= √3/2

Answer 2

Hi very nice question

we know that tan30 = 1/√3

now put,

= 2 × 1/√3
------------
1 + ( 1/ √3)^2

= 2 / √3
-------------
1 + 1 / 3

= 2/ √3
------------
4 / 3

= 2 / √3 × 3 / 4

= 3
----------
2 √ 3

= √3 . √ 3
----------------
2 . √ 3

= √3
-------
2

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