sqrt(2)*sin(pi/4 –x/2) +sin(x/2)=sqrt(3)/2
sqrt(2)*[sin(pi/4)*cos(x/2)-cos(pi/4)*sin(x/2)]+sin(x/2)=sqrt(3)/2
sqrt(2)*[(sgrt(2)/2)*cos(x/2)-(sqrt(2)/2)*sin(x/2)]+sin(x/2)=sqrt(3)/2
cos(x/2)-sin(x/2)+sin(x/2)=sqrt(3)/2
cos(x/2)=sqrt(3)/2
x/2=±arccos(sqrt(3)/2)+2*pi*n
x/2=±pi/6 +2*pi*n
x=±pi/3 +4*pi*n