If a line makes angles α, β, γ with coordinate axes, Find the value of sin^2 α + sin^2 β + sin^2 γ?
Answer: 2
Explanation
If α, β, γ is the angle, a line makes with the co-ordinate axis,
∴ cos2α + cos2β + cos2γ = 1
⇒(1− sin2α) + (1− sin2β) + (1 − sin2γ) = 1
⇒3− (sin2α+ sin2β + sin2γ) = 1
∴ (sin2α + sin2β + sin2γ) = 2
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