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A line makes angles $α, β, γ$ with the coordinate axes. If $α + β = \frac{π}{2}$ then ${(\cos α + \cos β + \cos γ)}^{2}$ is equal to

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1+sin2α

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1−sin2α

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Correct option is A

β=π2−αcos2α+cos2β+cos2γ=1⇒γ=900cosα+cosβ+cosγ2=(cosα+sinα)2

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A line makes angles α,β,γ with the coordinate axes. If α+β=π2 then (cosα+cosβ+cosγ)2 is equal to

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Ready to Test Your Skills?

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A line makes angles $α, β, γ$ with the coordinate axes. If $α + β = \frac{π}{2}$ then ${(\cos α + \cos β + \cos γ)}^{2}$ is equal to