Cosx+cos²x+cos³x+sin³x-sin²x+sinx=0
(cosx+sinx)+(cos³x+sin³x)+(cos²x-sin²x)=0
(cosx+sinx)(1+cos²x-sinxcosx+sin²x+cosx-sinx)=0
(cosx+sinx)(2-sinxcosx+cosx-sinx)=0
1)cosx+sinx=0
tgx=-1
x=-π/4+πk;k€Z
2)2-sinxcosx+cosx-sinx=0
2-1/2 *sin2x+√2*sin(π/4-x)=0
2=(sin2x)/2-√2*sin(π/4-x)
x€∅