The expression $\frac{\tan A}{1 - \cot A} + \frac{\cot A}{1 - \tan A}$ can be written as

Question

( A ) $\tan A + \cot A$
( B ) $\sec A\; \mathrm{cosec A} + 1$
( C ) $\sin A \cos A + 1$
( D ) $\sec A + \mathrm{cosec A}$