\(\Leftrightarrow\left(1-cosx\right)\left(cos2x-\left(m+1\right)cosx+2m+1\right)=m\left(1-cosx\right)\left(1+cosx\right)\)
TH1: \(cosx=1\)
TH2: \(cos2x-\left(m+1\right)cosx+2m+1=m\left(1+cosx\right)\)
\(\Leftrightarrow2cos^2x-cosx-2m.cosx+m=0\)
\(\Leftrightarrow cosx\left(2cosx-1\right)-m\left(2cosx-1\right)=0\)
\(\Leftrightarrow\left(2cosx-1\right)\left(cosx-m\right)=0\)
\(\Rightarrow\left[{}\begin{matrix}cosx=\dfrac{1}{2}\\cosx=m\end{matrix}\right.\)
Đường tròn lượng giác là xong.