Posted by Anonymous on Monday, December 6, 2010 at 10:18am.
I think you meant
sin(x)/cos(x)+ cos(x)/(1+sin(x))=sec(x)
LS = (sinx(1+sinx) + sinxcosx)/(cosx(1+sinx))
= (sinx + sin^2x + cos^2x)/(cosx(1+sinx))
= (sinx + 1)/(cosx(1+sinx))
= 1/cosx
= sec x
= RS