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In the vector space of all real valued functions find a basis for the subspace spanned by sin 2t 1 cos2t cost sint cost O

In the vector space of all real valued functions find a basis for the subspace spanned by sin 2t 1 cos2t cost sint cost O sin 2t cost sint O sin 21 1 cos 2t costsin t sin 24 1 cos 2t cost O 1 cos 2t cost sint cos t Ofcost sint cos t 1 cos 2t cos t

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