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Question

If (sinα+cosec α)2+(cosα+secα)2=k+tan2α+cot2α then k =

A
9
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B
7
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C
5
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D
3
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Solution

The correct option is B 7
L.H.S=sin2α+cosec2 α+2+cos2α+sec2α+2=7+cot2α+tan2αk=7.

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