If α, β, γ are the angles which a half ray makes with the positive direction of the axes, then sin^2 α+sin^2 β+sin^2 γ is equal to

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Correct answer: (B) 2. Since, a ray makes angles α, β, γ with the positive direction of the axes. ∴ cos^2 α+cos^2 β+cos^2 γ=1 ⇒ 1-sin^2 α+1-sin^2 β+1-sin^2 γ=1 ⇒ sin^2 α+sin^2 β+sin^2 γ=2

If $\alpha, \beta, \gamma$ are the angles which a half ray makes with the positive direction of the axes, then $\sin ^2 \alpha+\sin ^2 \beta+\sin ^2 \gamma$ is equal to

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