(a) Find the angle between the diagonal of the unit square in R2 and one of the axes. (b) Find the angle between the diagonal

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(a) Find the angle between the diagonal of the unit square in R2 and one of the axes.
(b) Find the angle between the diagonal of the unit cube in R3 and one of the axes.
(c) Find the angle between the diagonal of the unit cube in Rn and one of the axes.
(d) What is the limit, as n goes to 1, of the angle between the diagonal of the unit cube in Rn and one of the axes?

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