If the determinant \( \left|\begin{array}{lll}\cos 2 x & \sin ^...

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If the determinant \( \left|\begin{array}{lll}\cos 2 x & \sin ^{2} x & \cos 4 x \\ \sin ^{2} x & \cos 2 x & \cos ^{2} x \\ \cos 4 x & \cos ^{2} x & \cos 2 x\end{array}\right| \) is expanded in powers of \( \sin x \) then the constant term in the expansion is:
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