={siny*sqrt2/2+cosy*sqrt2/2-cosy*sqrt2/2+siny*sqrt2/2}/{ln(tgy+1/1-tgy)}=|siny~y,tgy~y|=
{y*sqrt2/2+y*sqrt2/2}/{ln((y+1)/(1-y))}={y*sqrt2}/{ln((y+1)/(1-y)))={y*sqrt2}/{ln(1+(y+1)/(1-y)-1))={y*sqrt2}/ln({(1-y)-1+(y+1)}/{(1-y)-1}=|lny=ln({(1-y)-1+(y+1)}/{(1-y)-1)~y|={y*sqrt2/2}/{y}=sqrt2/2?