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A line makes angle θ 1 ​ ,θ 2 ​ ...

A line makes angle `θ 1 ​ ,θ 2 ​ ,θ 3 ​ ,θ 4` ​ with the diagonals of the cube. Show that `cos^ 2 θ 1 ​ +cos^ 2 θ 2 ​ +cos^ 2 θ 3 ​ +cos^ 2 θ 4 ​ = 3/ 4 ​ ?`

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