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solve: -sin^2x=2cosx-2
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\[-(1-\cos^2x)=2cosx-2=> -1+\cos^2x-2cosx+2=0\] \[=>\cos^2x-2cosx+1=0\]
\[=>(cosx-1)^2=0\]
\[cosx-1=0\]
\[cosx=1\]
\[x=2\pi n , n \in \mathbb{Z}\]
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