Question

evaluate 2 tan 30°/1+tan2 30°

Answer 1

2 tan 30/1+(tan30)^2
= 2×1/√3/ 1+1/3
=2/√3/4/3
=3/2√3
here is your ans

Answer 2

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
if this correct mark as brainlist