Question

tan60=2 tan30/1-tan^2 30

sqrt(3)=I'm confused of that 2 but i guess it means to multiply.
again..
sqrt(3)= (2) sqrt(3)/3 / 1- sqrt(3)/2 ^2
now i don't know how to square tan .
if u can show me in details i would appreciate it. this is just a practice problem and i want to learn it so i can do the exam problem on my own.

Answer 1

looks like you are verfying the formula

tan (2A) = 2tanA/(1 - tan^2 A) , using A = 30°

so your left side = √3 , leave it alone

Right Side = (2√3/3) / (1- (√3/3)^2)
= (2√3/3) / ( 1 - 1/3)
= (2√3/3)/(2/3
= (2√3/3)(3/2) = √3 = left side