Duration: 6:46

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Demonstrate that the angle \( \theta \) between the propagation direction of light and the \( x \) axis transforms on transition from the reference frame \( K \) to \( K^{\prime} \) according to the formula
\[
\cos \theta^{\prime}=\frac{\cos \theta-\beta}{1-\beta \cos \theta},
\]
where \( \beta=V / c \) and \( V \) is the velocity of the frame \( K^{\prime} \) with respect to the frame \( K \). The \( x \) and \( x^{\prime} \) axes of the reference frames coincide.
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