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Question

The value of (sinα+cscα)2+(cosα+seca)2tan2αcot2α=

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Solution

(sinα+cosα)2+(cosα+secα)2tan2αcot2α
=sin2α+cos2α+2+cos2α+sec2α+2tan2αcot2α
=1+2+2+1+1
=7

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