MCQ
The inverse of $\left[\begin{array}{cc}1 & \cos \alpha \\ -\cos \alpha & -1\end{array}\right]$is ______.
  • A
    $\left[\begin{array}{cc}1 & \cos \alpha \\ -\cos \alpha & -1\end{array}\right]$
  • B
    $-\sec ^2 \alpha\left[\begin{array}{cc}1 & -\cos \alpha \\ -\cos \alpha & 1\end{array}\right]$
  • C
    $\operatorname{cosec} c^2\left[\begin{array}{cc}1 & -\cos \alpha \\ -\cos \alpha & 1\end{array}\right]$
  • $\operatorname{cosec}{ }^2 \alpha\left[\begin{array}{cc}1 & \cos \alpha \\ -\cos \alpha & -1\end{array}\right]$

Answer

Correct option: D.
$\operatorname{cosec}{ }^2 \alpha\left[\begin{array}{cc}1 & \cos \alpha \\ -\cos \alpha & -1\end{array}\right]$
D

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