Question

2sinxcosx - 2sinx- cosx +1=0

Answer 1

$2sinxcosx-2sinx-cosx+1=0\\2sinx(cosx-1)-(cosx-1)=0\\(cosx-1)(2sinx-1)=0\\1); cosx=1,; x=2pi n,; nin Z\\2); sinx=frac{1}{2},; x=(-1)^{k}frac{pi}{6}+pi k,; kin Z$