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

2
by prituldave

2015-03-08T18:17:51+05:30

### This Is a Certified Answer

Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.
2 tan 30/(1+tan^2 30)
2(1√3)/(sec^2 30)
2/√3/(2/√3^2)
2/√3/(4/3)
√3/2= cos 30
2015-03-08T18:20:59+05:30

### This Is a Certified Answer

Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.
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 lcm 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
3+1/3=10/3
She wrote it as (3+1)/3
its r8 yaar
:)