решите уравнение
ctgxcos5x = cos 6x + sin5x

сosxcos5x/sinx=cos6x+sin5xsinx≠0cosxcos5x-cos6xsinx-sin5xsimx=0(cosxcos5x-sinxsin5x)-cos6xsinx=0cos(5x+x)-cos6xsinx=0cos6x*(1-sinx)=0cos6x=0⇒6x=π/2+πn⇒x=π/12+πn/6,n∈zsinx=1⇒x=π/2+2πk,k∈z