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If $(\sin \alpha + \mathrm{cosec} \;\alpha)^2$ + $(\cos \alpha + \sec \alpha)^2$ = $k + \tan^2 \alpha + \cot^2 \alpha$, then $k$ is equal to :


( A ) $1+n^2$
( B ) $1-n$
( C ) $1+n$
( D ) $1-n^2$

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