Sqrt(2)/2*cos6x+sqrt(2)/2sin6x=sqrt(2)*sqrt(2)/2
sin(6x+П/4)=1
6x+п/4=П/2+2Пk
6x=П/4+2пk
x=П/24+Пk/3
sqrt(2)cosx=sinx+sqrt(3)
2cos^2x=sin^2x+3+2sqrt(3)sinx
2-2sin^2x=sin^2x+3+2sqrt(3)sinx
3sin^2x+2sqrt(3)sinx+1=0
(sqrt(3)sinx+1)=0
x=arcsin(-1/sqrt(3))+2Пk.