Question

2 tan 30/ 2tan^30 =sin 60​

Answer 1

Step-by-step explanation:-

sin 60°= √3/2

(2 tan 30°)/ (1+tan^2 30°)

we know , tan  30°=1/√3

so, (2 tan 30°)/(1+tan^2 30°)=(2×1/√3)/{1+(1/√3)^2 }

=(2/√3)/(1+1/3)

=(2/√3)/(1+1/3)

=2/√3×3/4

=2/√3×(√3)^2/2^2

=√3/2

here it is clearly that sin 60°=( 2 tan 30°)/(1+tan^2 30°)

HENCE VERIFIED!

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Hope this will helps:)