Как решить 3sin^2 (x/2)+sin(x/2)*sin(pi/2-x/2)=2

3sin²(x/2)+sin(x/2)*cos(x/2)-2sin²(x/2)-2cos²(x/2)=0 sin²(x/2)+sin(x/2)cos(x/2)-2cos²(x/2)=0 (/cos²x/2≠0 (sin(x/2)/cos(x/2))²+sin(x/2)/cos(x/2)-2=0 tg²x/2+tgx/2-2=0 tgx/2=t t²+t-2=0 t=1  t=-2 tgx/2=1                tgx/2=-2 x/2=π/4+πn            x/2=-arctg2+πn x=π/2+2πn             x=-2arctg2+2πn