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Home  >>  CBSE XII  >>  Math  >>  Three Dimensional Geometry

A line makes angles $\alpha,\beta,\gamma\;and\;\delta$ with the four diagonals of a cube. Prove that $ \cos ^2 \alpha+\cos ^2\beta+\cos ^2 \gamma+\cos ^2 \delta=\Large\frac{4}{3}$

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