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If $θ$ is an angle given by $\cos θ = \frac{\cos^{2} α + \cos^{2} β + \cos^{2} γ}{\sin^{2} α + \sin^{2} β + \sin^{2} γ}$ where $α, β, γ$ are the angles made by a line with the axes $\vec{O X}, \vec{O Y}, \vec{O Z}$ respectively then the value of $θ$ is

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Correct option is A

cosθ=12

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If θ is an angle given by cosθ=cos2α+cos2β+cos2γsin2α+sin2β+sin2γ where α,β,γ are the angles made by a line with the axes OX→, OY→,OZ→respectively then the value of θ is

Unlock the full solution & master the concept.

Ready to Test Your Skills?

free study material

If $θ$ is an angle given by $\cos θ = \frac{\cos^{2} α + \cos^{2} β + \cos^{2} γ}{\sin^{2} α + \sin^{2} β + \sin^{2} γ}$ where $α, β, γ$ are the angles made by a line with the axes $\vec{O X}, \vec{O Y}, \vec{O Z}$ respectively then the value of $θ$ is