Sin6x + sin2x = 0,5tg2x

2sin4xcos2x=1/2 tg2x

4sin2xcos²2x=1/2*sin2x/cos2x

8sinxcosxcos²2x=sinxcosx/cos2x

8sinxcosxcos³2x-sinxcosx=0

sinxcosx (8cos³2x-1) = 0

sinx=0 cosx=0 cos³2x=1/8

x1=πn x2=π/2+πk cos2x=∛1/8

cos2x=1/2

2x=+-π/3+πp

x3=+-π/6+πp/2

n, k, p∈Z