1) cosx + cos4x + cos2x + cos3x = 0
<=> 2cos5x.cos(3x/2) + 2cos5x.cos(x/2) = 0
<=> cos5x.( cos(3x/2) + cos(x/2) ) = 0
<=> [TEX]\left[\begin{cos5x = 0}\\{cos(3x/2) + cos(x/2) = 0} [/TEX]
2) sinx = [TEX]\sqrt3cosx [/TEX]
<=> sinx - [TEX]\sqrt3cosx[/TEX] = 0
<=> 1/2 sinx - [TEX]\sqrt3/2cosx[/TEX] = 0
<=> sin( x - \prod_{i=1}^{n}/3 ) = 0