Fewpal
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If any line form an angle α, β, γ, δ with the diagonal of cube then sin2α + sin2β + sin2γ + sin2δ = ____

(A) (8/3)

(B) – (8/3)

(C) (4/3)

(D) – (4/3)

1 Answer

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Best answer

The correct option (A) (8/3)

Explanation:

We know cos2α + cos2β + cos2γ + cos2δ = (4/3)

∴ 1 – sin2α + 1 – sin2β + 1 – sin2γ + 1 – sin2δ = (4/3)

∴ 4 – (4/3) = sin2α + sin2β + sin2γ + sin2δ

∴ sin2α + sin2β + sin2γ + sin2δ = (8/3).

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