Question: Demonstrate that the angle 0 between the propagation direction of light and the x axis transforms on transition from the reference frame K to K'

Demonstrate that the angle 0 between the propagation direction of light and the x axis transforms on transition from the reference frame K to K' according to the formula where β = V/c and V is the velocity of the frame K' with respect to the frame K. The x and x' axes of the reference frames coincide.


cos 0-B 1-B cos 0 * cos 0'

cos 0-B 1-B cos 0 * cos 0'

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