2sin(x)/[(cos(x)+sin(x)] = tan(2x) + 1 - sec(2x)

First, I turn tan(2x) into [sin(2x) / cos(2x)] then I turn sec(2x) into 1/cos(2x)

So, I end up with... [sin(2x) / cos(2x)] + 1 - (1/(cos2x))

I multiple and get the GCD of cos(2x)..

[sin(2x) + cos(2x) - 1] / cos(2x)

Now things get kind of fuzzy.. I probably didn't do this the best way thus far but I can't really advance much further.. I need help, please.