MCQ
The expression$\frac{{\tan A}}{{1 - \cot A}} + \frac{{\cot A}}{{1 - tanA}}$ can be written as:
- A$\sin A\cos A + 1$
- ✓$\sec A cosecA + 1$
- C$\tan A + \cot A$
- D$\sec A + cosec\;A$
$ = \frac{1}{{\sin A - \cos A}}\left\{ {\frac{{{{\sin }^3}A - {{\cos }^3}A}}{{\cos A\sin A}}} \right\}$
$ = \frac{{{{\sin }^2}A + \sin A\cos A + {{\cos }^2}A}}{{\sin A\cos A}}$ $ = 1 + \sec A\cos ecA$
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