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Question

If a line makes angles α,β & γ with OX,OY & OZ respectively Prove that: (i) sin2α+sin2β+sin2γ=2

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Solution

cos2α+cos2β+cos2γ=11sin2α+1sin2β+1sin2γ=131=sin2α+sin2β+sin2γ2=sin2α+sin2β+sin2γ

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