Question

prove the following identity (muse include all steps)

sin(2x)= 2tan(x)/sec^2(x)

Answer 1

So far I have (2 times sin(x)/cos(x))/1/cos^2 then that goes to (2 times sin(x)/cos(x) times cos^2/1, that reduces to 2 times sin(x)cos(x), then I am stuck

Answer 2

I think that the next step is 2sin(x)cos(x)=sin(2x) proving the identity by the double angle formula, correct me if i'm wrong