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