f(x)=(sinx+cosx)^/(2+2sin2x-cos^2x)
=(sin^x+cos^x+2sinxcosx)/(1++2sin2x+1-cos^2x)
=1+sin2x/(sin^2x+2sin2x+1)
=1+sin2x/(1+sin2x)^
=1/(1+sin2x)