Question

Prove the identity
\[\left( \sin2x \over 1+\cos2x \right) = \left( \sec ^{2}x-1 \over \tan x \right)\]

Answer 1

use sin2x=2sinxcosx
cos2x=2cos^2 x -1
sec^2 x -1 =tan^2 x

then LHS=tanx=RHS

Answer 2

how did you get tan^2x

Answer 3

I got
Left side : sinx over cosx-1
Right side : (1over cosx-1) over sinx
...?