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Question

sin2 α+cos2(α+β)+2sin α sin β cos(α+β) is independent of

A
α
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B
β
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C
both α and β
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D
none
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Solution

The correct option is A α
sin2α+cos(α+β)[cos(α+β)+2sinαsinβ]=sin2α+cos2αsin2β=1sin2β

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