Question

sin6x+sin2x-2cos6x=0

Answer 1

2sin6x+2x/2*cos6x-2x/2-2cos6x=0

2sin4x*cos3/2x-2cos6x=0

sin2x=0 или cos3/2x=0 или cos3x=0

2x=pn или cos3/2x=0-решения нет,т.к. 1,5 больше 1 или 3x=p/2+pn

x=pn/2                                                                                              x=p/6+pn/3