The determinant \(D=\left|\begin{array}{ccc}\cos (\alpha+\beta) &am...

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The determinant \(D=\left|\begin{array}{ccc}\cos (\alpha+\beta) & -\sin (\alpha+\beta) & \cos 2 \beta \\ \sin \alpha & \cos \alpha & \sin \beta \\ -\cos \alpha & \sin \alpha & \cos \beta\end{array}\right|\) independent of
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