Question

this seems tricky =_=
Prove: \[\frac{2 \tan x}{1 + \tan^2 x} = \sin (2x)\]

Answer 1

i tried changing 1 + tan^2x to sec^2 x but it did nothing :/

Answer 2

change tanx to sinx/cosx and try

Answer 3

i dont see it o.O

Answer 4

\[\frac{\frac{2\sin x}{\cos x}}{1 + \frac{\sin^2 x}{\cos^2 x}}\]

Answer 5

Clear the compound fraction action! :)

Answer 6

lol didnt recognize you :p why change? haha

and compound frawhat?

Answer 7

srsly...i thought a new mod was in town

Answer 8

Multiply top and bottom by cos^2(x)