jee-main 2013 Q68

jee-main · India · 07apr Trig Proofs Trigonometric Identity Simplification
The expression $\frac{\tan A}{1 - \cot A} + \frac{\cot A}{1 - \tan A}$ can be written as:
(1) $\tan A + \cot A$
(2) $\sec A + \operatorname{cosec} A$
(3) $\sin A \cos A + 1$
(4) $\sec A \operatorname{cosec} A + 1$
The expression $\frac{\tan A}{1 - \cot A} + \frac{\cot A}{1 - \tan A}$ can be written as:\\
(1) $\tan A + \cot A$\\
(2) $\sec A + \operatorname{cosec} A$\\
(3) $\sin A \cos A + 1$\\
(4) $\sec A \operatorname{cosec} A + 1$