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If a line makes angles alpha, beta, lamb...

If a line makes angles `alpha, beta, lambda,delta` with the four diagonals of a cube, then show that `cos^(2) alpha+cos^(2) beta + cos^(2)lambda+cos^(2)delta=(4)/(3)`.

A

`(1)/(2)`

B

`(2)/(3)`

C

`(1)/(5)`

D

`(4)/(3)`

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