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Question

limαβsin2αsin2βα2β2 is equal to

A
sin3β(4β)
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B
sin2β(2β)
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C
sin8β(7β)
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D
sin6β(4β)
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Solution

The correct option is B sin2β(2β)
limαβsin2αsin2βα2β2=limαβsin(αβ)sin(α+β)(αβ)(α+β)=sin2β(2β)

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