If $cosx + secx =\, -2$, then for a $+ve$ integer $n$, $cos^n x + sec^n x$ is

  • A

    always $2$

  • B

    always $-2$

  • C

    $-2$ if $n$ is odd and $2$ if $n$ is even

  • D

    $-2$ if $n$ is even and $2$ if $n$ is odd

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