Sin2x+√2*sinx =2cosx +√2 ;
2sinx*cosx +√2*sinx =2cosx +√2 ;
sinx(2cosx +√2) -(2cosx +√2 ) =0 ;
(2cosx +√2) (sinx -1) =0;
[2cosx +√2 =0 ; sinx =1 . [ cosx = -√2/2 ;sinx =1.
x ₁=(+/-)(π -π/4) +2π*k =(+/-)3π/4 +2π*k ;
x ₁=(+/-)3π/4 +2π*k ;
x₂ =π/2 +2π*k , k∈Z.