x=0 =>y=1
after this there are two mthods...
one is assume (1+x)^y=u and sin-1(sin^2x)=v
and doo 1 page of hard wrok
second method is short
(1+x)y -y+ Sin-1(sin2x)=0
f(x,y)=0
fx=y(1+x)y-1+1√1-sin4x2sinxcosx
put x=0,y=1
=>fx=1
simialrly u will get fy=-1
slope normal=fyfx=-1
=> eqn y-1=-1(x) =>y+x-1=0