If $A(\theta)=\begin{bmatrix}1&\tan\theta\\-\tan\theta&1\end{bmatrix}$ and $AB=I$ then $(\sec^2\theta)B$ is equal to

Question

$(a)\;A(\theta)\qquad(b)\;A(\large\frac{\theta}{2})$$\qquad(c)\;A(-\theta)\qquad(d)\;A(-\large\frac{\theta}{2})$