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)
