\[
\int \frac{\tan x}{\cos x(\sec x-1)(\sec x-2)} d x=\ldots \ldots \ldots \ldots+C
\]
(A) \( \log \left|\frac{\operatorname{cosec} x+2}{\operatorname{cosec} x-1}\right| \)
(B) \( \log \left|\frac{\sec x-2}{\sec x-1}\right| \)
(C) \( \log \left|\frac{\sec x+2}{\sec x-1}\right| \)
(D) \( \log \left|\frac{\cos x+1}{\cos x-2}\right| \)