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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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a
1+sin2α
b
1+cos2α
c
1−sin2α
d
1

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detailed solution

Correct option is A

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

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