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If (sinα+cscα)2+(cosα+secα)2=k+tan2α+cot2α(\sin \alpha + \csc \alpha)^2 + (\cos \alpha + \sec \alpha)^2 = k + \tan^{2} \alpha + \cot^{2} \alpha(sinα+cscα)2+(cosα+secα)2=k+tan2α+cot2α Then k =
This problem is part of the set Trigonometry.
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