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A line makes angles \( \alpha, \beta, \gamma, \delta \) with the fo...
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A line makes angles \( \alpha, \beta, \gamma, \delta \) with the four diagonals of a cube, then prove that
\[
\cos ^{2} \alpha+\cos ^{2} \beta+\cos ^{2} \gamma+\cos ^{2} \delta=\frac{4}{3}
\]
\[
\cos ^{2} \alpha+\cos ^{2} \beta+\cos ^{2} \gamma+\cos ^{2} \delta=\frac{4}{3}
\]