solve the equation 2sin^2 (x)cos(x)=cos(x) on the interval [0,2pi)

solve the equation 2sin^2 (x)cos(x)=cos(x) on the interval [0,2pi)

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\[2\sin ^{2}(x)\cos(x)=\cos(x)\]

Set it equal to zero
and then take out the common factor

\[2\sin ^{2}(x)\cos(x)-\cos(x)=0\]
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