The angle between a diagonal of cube and an angle of the cube intersecting the diagonal is

{cos}^{- 1} \frac{1}{3}

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{cos}^{- 1} \sqrt{\frac{2}{3}}

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{cos}^{- 1} \sqrt{2}

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N o n e o f t h e s e

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\cos^{- 1} (\frac{1}{\sqrt{3}})

\cos^{- 1} (\frac{1}{3})

c o s^{2} x =

θ_{1}, θ_{2}, θ_{3}, θ_{4}

{cos}^{2} θ_{1} + {cos}^{2} θ_{2} + {cos}^{2} θ_{3} + {cos}^{2} θ_{4} = \frac{4}{3}

a, b, c, d

{cos}^{2} a + {cos}^{2} b + {cos}^{2} c + {cos}^{2} d =

α, β, γ

δ

{cos}^{2} α + {cos}^{2} β + {cos}^{2} γ + {cos}^{2} δ = \frac{x}{3}

x

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